Browse Math Statement problems Studdy Solved!

Problem 24201

Find $\lim _{x \rightarrow+\infty} \frac{2 x+5}{x^{2}-7 x+3}$
Add your answer Integer, decimal, or E notation allowed

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Problem 24202

Find $\lim _{x \rightarrow 4} \frac{x^{2}-x-12}{x-4}$
Add your answer Integer, decimal, or E notation allowed

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Problem 24203

Determine where $\mathrm{f}(\mathrm{x})$ is continuous. $f(x)=\sin ^{-1} 2 x$ (A) $-1 / 2$ and $1 / 2$ (B) 1 and - $1 / 2$ (C) -1 and 0 (D) -1 and -3

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Problem 24204

(a) $\begin{aligned} x_{1}+2 x_{2}-x_{3} & =2 \\ & x_{1}+x_{2}+2 x_{3}=0 \\ & x_{1}-x_{2}-x_{3}=1\end{aligned}$

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Problem 24205

Is the function f such that $f(x)=\frac{1}{x}$ for $\mathrm{x}>0$ and $\mathrm{f}(0)=0$ continuous over $[0,1]$ ? (A) no (B) yes (C) maybe (D) none of the answer

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Problem 24206

Evaluate $\left.\frac{d^{4} y}{d x^{4}}\left[x^{-3}\right]\right|_{x=1}$ (A) 360 (B) 112 (C) 0 (D) 24

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Problem 24207

$S=\left[\begin{array}{llll} -9 & 4 & -7 & -6 \end{array}\right]$
The additive inverse is $\square$ (Simplify your answer.)

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Problem 24208

Part 2. Solve the following systems of equations using algebra and write your answers as ordered pairs. Show all work and box your final answer.
5. $2 x-y=12 ; x+5 y=17$
6. $8 x+4 z=52 ; 3 x-2 z=23$

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Problem 24209

$\sec (x) \cot (x)=$
A $\sin (x)$
B $\cos (\mathrm{x})$
C $\tan (x)$
D $\sec (x)$ $E \quad \csc (x)$

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Problem 24210

Solve. $5(3 z-8)=-10$
Answer Attempt 1 out of 2

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Problem 24211

[i]. Type the integer that makes the following addition sentence true: $-3+\square=-12$ Submit

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Problem 24212

Seventh grade B. 13 Complete addition and subtraction equations with integers PGA Yol
秘. Type the integer that makes the following addition sentence true: $\square$ $+10=-4$ Submit

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Problem 24213

Give an example of a $2 \times 2$ matrix that is its own inverse.
An example of a $2 \times 2$ matrix that is its own inverse is $\square$

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Problem 24214

Лемма 3.1.4. Любой интервал $(a, b) \subseteq \mathbb{R}$ является открытым множеством, а тогда и всякая открытая окрестность - это открытое множество.
Доказательство. Пусть $(a, b)$ - интервал конечной длины, тогда на него можно посмотреть как на окрестность точки $c=\frac{a+b}{2}$ (= середина отрезка) с радиусом $r=\frac{b-a}{2}$ , итак $(a, b)=\mathscr{B}_{r}(c), \quad c:=\frac{a+b}{2}, \quad r:=\frac{b-a}{2}$
Рассмотрим произвольную точку $x \in \mathscr{B}_{r}(c)$ , отличную от точки $c, m . e . x \neq c$ и рассмотрим её окрестность $\mathscr{B}_{\delta}(x)$ , где $0<\delta<r-|c-x|$ . Покажем, что $\mathscr{B}_{\delta}(x) \subseteq(a, b)$ , это и докажет требуемое.
Возьмём произвольную точку $y \in \mathscr{B}_{\delta}(x)$ , тогда $|x-y|<\delta$ , а в силу выбора $\delta$ , мы также получаем, что $|x-y|<\delta<r-|c-x|$ .
Далее, используя неравенство треугольника*, получаем $\begin{aligned} |c-y| & =|c+x-x-y| \\ & =|(c-x)+(x-y)| \\ & \leq|c-x|+|x-y| \\ & <|c-x|+\delta \\ & <|c-x|+r-|c-x| \\ & =r \end{aligned}$ m.e. $|c-y|<r$ , а значит, $y \in \mathscr{B}_{r}(c)$ , но это и показывает, что $\mathscr{B}_{\delta}(x) \subseteq(a, b)$ для любой точки $x \in(a, b)$ , т.е. интервал $(a, b)$ - открыт. Это завершает доказательство. $\text { " }|a+b| \leq|a|+|b| \text {. }$

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Problem 24215

1. (15.6.8) Evaluate $\int_{0}^{1} \int_{0}^{1} \int_{0}^{2-x^{2}-y^{2}} x y e^{z} d z d y d x$ . Cite used theorems or formulas.

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Problem 24216

The monthly sales $S$ (in hundreds of units) of skiing equipment at a sports store are approximated by $S=53.3+33.5 \cos \left(\frac{\pi t}{6}\right)$ where $t$ is the time (in months), with $t=1$ corresponding to January. Determine the months in which sales exceed 7,500 units. (Select all that apply.) January February March April May June July August September October November December

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Problem 24217

Solve Quadratic Equations-Completing the Square
Solve the following quadratic by completing the square. $f(x)=x^{2}+2 x-12$
Steps to Remember
1. Set the $y$ -value equal to 0 . $x=[?] \pm \sqrt{[]}$
2. Remove the constant term from both sides using the opposite operation.
3. Add $\left(\frac{b}{2}\right)^{2}$ to both sides (to complete the square).
4. Factor (write as a perfect square).
5. Solve for $x$ like normal.

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Problem 24218

Given $y=-2 x^{2}+4 x+1$ , identify the vertex, axis of symmetry, and maximum value.

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Problem 24219

Part 1 of 2 a. Use the coding matrix $\mathrm{A}=\left[\begin{array}{rr}2 & -1 \\ 5 & -3\end{array}\right]$ to encode the word LIFT. b. Use its inverse, $A^{-1}=\left[\begin{array}{ll}3 & -1 \\ 5 & -2\end{array}\right]$ , to decode $11,25,-16,-49$ . a. The encoded message is $\square$ (Type the values in the correct order, separated by commas.) Help me solve this View an example Get more help - Review Progress

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Problem 24220

2. $x^{2}+11 x+24$

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Problem 24221

View the accompanying description of how messages are being represented as matrices which are then encoded with matrix multiplication. The matrix $\left[\begin{array}{rrrrrr}56 & 51 & 116 & 65 & 87 & 149 \\ 18 & 120 & 80 & 102 & 102 & 164 \\ 101 & 24 & 154 & 43 & 111 & 162\end{array}\right]$ was encoded using the matrix $A=\left[\begin{array}{rrr}1 & 3 & 2 \\ 4 & 6 & -2 \\ 0 & 1 & 5\end{array}\right]$ What is the message? (i) Click the icon to learn how to convert a message into a matrix that can be encoded.
Write the message below. $\square$ $"$ "
Help me solve this View an example Get more help -

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Problem 24222

Лемма 3.1.6. Объединение любого семейства открытых множеств открыто, и пересечение конечного числа открытых множеств открыто.
Доказательство. (1) Пусть $\mathcal{U}=\cup_{\alpha \in A} \mathcal{U}_{\alpha}$ и пусть $x \in \mathcal{U}$ , тогда для какого-то $\alpha \in A, x \in \mathcal{U}_{a}$ . Так как $\mathcal{U}_{\alpha}$ открыто, то найдётся такой $\varepsilon>0$ , что $\mathscr{B}_{\varepsilon}(x) \subseteq U_{\alpha} \subseteq \cup_{\alpha \in A} U_{\alpha}$ , что и доказывает открытость множества $थ$ . (2) Достаточно доказать, что пересечение двух открытых множеств $\mathscr{U}_{1}, \mathscr{U}_{2}$ открыто, а затем провести индукцию.
Если $x \in \mathcal{U}_{1} \cap \mathcal{U}_{2}$ , то найдутся такие $\varepsilon_{1}, \varepsilon_{2}>0$ , что $B_{\varepsilon_{1}}(x) \subseteq \mathcal{U}_{1}, B_{\varepsilon_{2}}(x) \subseteq \mathcal{U}_{2}$ . Тогда, если $\varepsilon:=\min \left(\varepsilon_{1}, \varepsilon_{2}\right)$ , то $B_{\varepsilon}(x) \subseteq \mathcal{U}_{1} \cap \mathcal{U}_{2}$ , что и доказывает открытость пересечения.

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Problem 24223

Find the area of the triangle defined by the vectors $\langle 4,8\rangle$ and $\langle-1,2\rangle$ . $\square$ square units (Type an integer or a fraction.)

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Problem 24224

[0/5 Points] DETAILS MY NOTES LARPCALC11 4.4.031.
Find the exact values of the remaining trigonometric functions of $\theta$ satisfying the given conditions. (If an answer is undefined, enter UNDEFINED.) $\cot \theta$ is undefined, $\frac{\pi}{2} \leq \theta \leq \frac{3 \pi}{2}$ $\begin{array}{l} \sin \theta=1 \\ \cos \theta=0 \end{array}$ $\square$ $\square$ $\square$ $\tan \theta=$ $\square$ $\csc \theta=$ $\sec \theta=$ $\square$

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Problem 24225

Find the derivative of the polynomial $P_{n}(x) = x^{n} + x^{n-1} + \cdots + x^{2} + x - 1$ .

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Problem 24226

$x^{2}+5 x+2=0$

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Problem 24227

Consider the probability distribution $f(x)=(0.1904)(0.8096)^{x}, x=0,1,2,3,4,5, \ldots$ Find $\mathrm{P}(X \geq 16)$ . NOTE: give your answer to 6 decimal places. Example: "2.000000" (not simply "2").

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Problem 24228

Convert $r=4 \cos (\theta)$ to a rectangular equation.

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Problem 24229

Answer the questions about the following polynomial. $-7 x^{2}-2+\frac{1}{4} x^{3}$
Answer Attempt 1 out of 2
The expression represents a $\square$ polynomial with $\square$ terms. The constant term is $\square$ , the leading term is $\square$ , and the leading coefficient is $\square$ . Submit Answer

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Problem 24230

2. Write an equation for the parabola with given vertex $(6,4)$ and passing through the point $(8,6)$ . [3K]

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Problem 24231

10. $f^{\prime}(x)=8 \sec ^{2} x$

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Problem 24232

12. [12 marks] Consider the function $y=-x^{4}+4 x^{3}$ . a. Find the $x$ -and $y$ -intercepts of the function. $x-i n t=(4,0), y-i n t:(0,0)$ b. Determine the intervals where the function is increasing/decreasing and find the relative extrema. c. Determine the intervals where the function is concave up/ concave down and find the inflection points. d. Sketch the function.

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Problem 24233

A finite sequence is shown. $\{-25,-22,-19, \ldots, 32\}$
Which sigma notation can be used to represent the series for the finite sequence? Help: Introduction to Sigma Notation (video). $\sum_{n=1}^{18}(3 n-28)$ $\sum_{n=1}^{20}(3 n-28)$ $\sum_{n=1}^{20}(-3 n-22)$ $\sum_{n=1}^{18}(-3 n-22)$

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Problem 24234

Find all zeros of the followings use $\pm \frac{p}{q}$ to help determine if any zeros are frac $1.3 x^{4}+5 x^{3}+10 x^{2}+20 x-8=0$

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Problem 24235

An algebraic expression involving base 10 logarithms is shown below. $4 \log (x+1)-\frac{1}{3} \log (x+2)+2 \log (x+5)$ - Which expression is equivalent to the given algebraic expression written as a single logarithm?
Help: The Properties of Logarithms (video). $\log \left(\frac{(x+1)^{4} \sqrt[3]{x+2}}{(x+5)^{2}}\right)$ $\log \left(\frac{(x+1)^{4}(x+5)^{2}}{\sqrt[3]{x+2}}\right)$ $\log \left(\frac{8(x+1)(x+5)}{3 \sqrt{x+2}}\right)$ $\log \left(\frac{8\left(x^{2}+6 x+5\right)}{\sqrt[3]{x+2}}\right)$

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Problem 24236

Solve the rational inequality and graph the solution set on a real number line. Express the solution set in interval notation. $\frac{x+2}{x+5}<2$ \begin{tabular}{|c|c|c|c|} \hline Interval & $\square$ & $\square$ & $\square$ \\ \hline Sign & $\square$ & $\square$ & $\square$ \\ \hline \end{tabular} (Type your answers in interval notation. Use ascending order.) Solve the inequality. What is the solution set? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is $\square$ (Simplify your answer. Type your answer in interval notation. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) B. The solution set is the empty set.
Which number line below shows the graph of the solution set? A. $\qquad$ $B$ c. E.
F

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Problem 24237

Which of the following is NOT equivalent to $(6 x-18)(x+3) ?$ $6\left(x^{2}+6 x+18\right)$ A $6 x^{2}-54$ C $6\left(x^{2}-9\right)$ B $6 x(x+3)-18(x+3)$ D

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Problem 24238

```latex \text{Part I-Write the most simplified form of your answer in the space provided (3 points)}
\text{a) Determine whether the following sequence converges or diverges.}
\text{a. } \sum_{n=0}^{\infty} \frac{2^{2}}{(x+1)^{2}} \text{ is } \qquad
\text{b. } \sum_{n=1}^{\infty} \frac{3}{n^{2}-3n+2} \text{ is } \qquad
\qquad \text{convergent, or divergent} \qquad
\text{1. For what values of } x \text{ does the series } \sum_{n=0}^{\infty} n x^{n} \text{ converge?} \qquad
\text{Part II: Work out each of the following clearly and neatly showing all the necessary steps: (4 points each)}
\text{5. Determine if the following series converges or diverges.}
\text{a. } \sum_{i=3}^{\infty}\left(1-\frac{3}{n}\right) m^{2} \text{ by root test.}
\text{b. } \sum^{\infty}=\frac{n}{\sqrt{\pi^{2}-12}} \text{ by comparison test.} ```

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Problem 24239

Solve the inequality. $\qquad$ 26. $2 h+8>22$ $\qquad$ 3 a. $h>3$ b. $h>7$ c. $h>14$ d. $h<7$ $\qquad$ 27. $\frac{-3 b}{5}>9$ a. $b>6$ b. $b>-\frac{5}{3}$ c. $b<-15$ d. $b<-6$
Solve the equation. Then check your solution. $\qquad$ 28. $-72.12=6(3 d+10)$ a. -4.562 b. -7.34 c. 7.34 d. -0.673
Simplify the expression. If not possible, write simplified. $\qquad$ 29. $10 x+3(-10-10 x)$ a. $-20 x-30$ b. $40 x-7$ c. $-20 x-7$ d. $40 x$
Solve the proportion. If necessary, round, to the nearest hundredth. - 30. $\frac{3}{2}=\frac{c}{10}$ a. 21 b. 12 c. 18 d. 15
31. $\frac{4}{3}=\frac{c}{18}$ a. 32 b. 20 c. 28

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Problem 24240

Which relation has the same graph as $y=6(x+1)^{2}-94$ ? a) $y=6 x^{2}+12 x-88$ b) $y=6 x^{2}+12 x-94$ C) $y=6(x+12)^{2}-88$ d) $y=6 x^{2}+2 x-88$

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Problem 24241

$\left(8 x^{2}+3 x\right)-\left(x^{2}-7 x-3\right)$

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Problem 24242

$\log _{5}(22 \cdot 20)=$

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Problem 24243

10. The total cost of producing and selling a certain product is given by $C=1000$ $+200 x-200 \ln (x)$ dollars. Determine the minimum average cost $\bar{C}=\frac{C}{x}$ . Round off $x$ to the nearest integer, and round off the minimum average cost to the nearest dollar per unit.

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Problem 24244

State whether the lines are parallel, perpendicular, or neither. $y=6 x_{i}-3$ 1. $\begin{array}{lll} y=6 x-3 & y=3 x+2 & 8 x-2 y=3 \\ y=-\frac{1}{6} x+7 & 2 y=6 x-6 & x+4 y=-1 \end{array}$

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Problem 24245

Question 10 (Mandatory) (1 point) Determine the $x$ -intercepts of the graph of $y=4(x-4)^{2}-144$ . a) 40 and -8 b) 10 and 2 c) 10 and -2 d) 40 and 8

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Problem 24246

4. Find $(f+g)(2)$ if $f(x)=2 x^{2}-3 x$ and $g(x)=5 x^{2}-12 x$ .

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Problem 24247

$\left(u^{3}\right)^{3} \cdot 2 v^{4}$

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Problem 24248

Items Book Shaylean Maina k Next 8 Save End 1 Solve for in the equation below: x²+16x=36 12, -3 (B) -12, 3 D 18,-2 -18, 2 DELL olo 5 % 매 ום Y 0 *00

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Problem 24249

Consider $f(x)=x^{3}-2 x^{2}-4 x+5$ . Which of the following is true? I. $f(x)$ is increasing on $\left(-\infty,-\frac{2}{3}\right)$ and $(2, \infty)$ II. $f(x)$ has a local maximum at $x=-\frac{2}{3}$ III. Only $f(x)$ has a local maximum at $x=2$
Select an option: I only II only III only I and II only I, II and III

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Problem 24250

find the quotient and Remainder using long divistron $\frac{25 x^{3}+20 x^{2}-1}{5 x-1}$
9 is Ris $\text { If } e^{5 x}=13 \text {, Ther } x=$

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Problem 24251

If $e^{5 x}=13$ , Then $x=$

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Problem 24252

Evaluate the limit: $\lim _{x \rightarrow 0} \frac{\sqrt{4 x+49}-7}{x}=$ $\square$

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Problem 24253

Let $M$ be a point of affix $z$ , in the plane, verifying the relation : $|z-1-2 i|=|z-7+2 i|$
Determine the set (D) of points $M$ , in two different ways: a) Let $z=x+i y$ and find an equation of (D). b) Use the points A of affix $z_{\mathrm{A}}=1+2 i$ and B of affix $z_{\mathrm{B}}=7-2 i$ to determine geometrically the set $(\mathrm{D})$ .

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Problem 24254

5. Find $(f-g)(y)$ if $f(y)=5 y^{2}-2 y+1$ and $g(y)=-3 y^{2}-y-2$ . $(f-g)(y)=2 y^{2}-3 y-1$ $(f-g)(y)=2 y^{2}-y+3$ $(f-g)(y)=8 y^{2}-3 y-1$ $(f-g)(y)=8 y^{2}-y+3$

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Problem 24255

Rewrite $g(x)=-9 x^{2}-51 x$ in factored form. Use the keypad to enter your answer in the box. Find more symbols by using the drop-down arrow at the top of the keypad.
The function $g(x)=-9 x^{2}-51 x$ is factored completely to get $g(x)=$ $\square$ .

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Problem 24256

Solve for $c$ . $9|c+5| \geq 18$
Write a compound inequality like $\mathbf{1}<\mathrm{x}<3$ or like $\mathrm{x}<1$ or $\mathrm{x}>3$ . Use integers, prope fractions, or improper fractions in simplest form. $\square$ \begin{tabular}{|c|c|c|c|} \hline $>$ & $<$ & $\geq$ & $\leq$ \\ \hline $=$ & and & or & Un \\ \hline \end{tabular} Submit

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Problem 24257

10. What is the radicand in the radical expression $\sqrt[4]{625}$ ? 4 25 625 2500

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Problem 24258

Rewrite $8 x^{2}-20 x-12=0$ using its factors, and solve for the values of $x$ that satisfy the equation. Use the keypad to enter your answers in the boxes. Find more symbols by using the drop-down arrow at the top of the keypad.
The equation $8 x^{2}-20 x-12=0$ can be rewritten using factors as $\square$ .
The values of $x$ that satisfy the equation are $x=$ $\square$ and $x=$ $\square$ .

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Problem 24259

Solve by factoring: $4 x^{2}+15 x-25=0$ (A) $\left\{-\frac{5}{4}, 5\right\}$ (B) $\left\{-5, \frac{5}{4}\right\}$ (C) $\left\{ \pm \frac{5}{2}\right\}$ (D) $\left\{ \pm \frac{2}{5}\right\}$

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Problem 24260

Page 17 of 35 Previous Next
Halla las raíces cúbicas del siguiente número - 729.

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Problem 24261

$2 x=0$

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Problem 24262

Identify one solution to the system of polynomial equations below. $\begin{array}{l} y=x^{3}-1 \\ y=x^{2} \end{array}$
A $(1.466,2.148)$
B $(1.502,2.643)$
C $(-0.755,0.570)$
D $(0,0)$

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Problem 24263

Basic Momentum
1. Calculate the momentum of a $1.60 \times 103 \mathrm{~kg}$ car traveling at $20.0 \mathrm{~m} / \mathrm{s}$ .

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Problem 24264

Suppose that the polynomial function $f$ is defined as follows. $f(x)=6 x(x+5)(x-9)^{2}(x+7)^{3}$
List each zero of $f$ according to its multiplicity in the categories below.
If there is more than one answer for a multiplicity, separate them with commas. If there is no answer, click on "None."
Zero(s) of multiplicity one: $\square$ $\square$ $\square$ , $\square$ , None
Zero(s) of multiplicity two:
Zero(s) of multiplicity three: $\square$

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Problem 24265

$\frac{\sin B}{b}=\frac{\sin A}{a} \rightarrow \frac{\sin B}{11}=\frac{\sin 412}{7.7}$

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Problem 24266

Multiply: $\frac{9}{11} * 4$

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Problem 24267

swer using only positive ex
12. $\left(8^{-3 / 4}\right)^{-2 / 3}$

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Problem 24268

11. $\left(4^{-1}\right)^{1 / 3}$

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Problem 24269

Solve for $w$ . $-w+19>-18+12 w-15$
Write your answer with w first, followed by an inequality symbol.

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Problem 24270

b) solve for $x:-\frac{9}{5} x=-45$

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Problem 24271

Question3: Given matrices: $A=\left(\begin{array}{ll}2 & 5 \\ 1 & 3\end{array}\right), B=\left(\begin{array}{rr}3 & -5 \\ -1 & 2\end{array}\right)$ , Find the determinant of $A, A+B$ and $A B$

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Problem 24272

Question4. Find the solution set of $\left\{\begin{array}{c}y=x^{2} \\ y=x+2\end{array}\right.$

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Problem 24273

Question5 : Solve graphically: $\left\{\begin{array}{c}2 x+y \geq 5 \\ x-3 y \leq-8\end{array}\right.$

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Problem 24274

Question 6: Solve in the set of real numbers the equations using factorization a) $x^{2}+6 x+8=0$ b) $x^{2}+8 x=0$ ,

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Problem 24275

Question 7: Solve in the set of real numbers the equation: $x^{2}-12 x+11 \geq 0$ , using the quadratic formula.

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Problem 24276

Question8: Solve in the set of real numbers the equation: $\frac{x^{2}+5 x-24}{x-5} \leq 0$ , using completing the square method

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Problem 24277

Question 9: Solve and discuss: $(2-3 m) x-3=(m-x) m$

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Problem 24278

Question 12. Given matrices $A=\left(\begin{array}{lll} 2 & 0 & 1 \\ 3 & 0 & 0 \\ 5 & 1 & 1 \end{array}\right) \quad B=\left(\begin{array}{lll} 1 & 0 & 1 \\ 1 & 2 & 1 \\ 1 & 1 & 0 \end{array}\right),$
Evaluate the following: a) Transpose of B, b) Determinant of A , c) $A+2 B$ , d) $A-B$ , e) $A B$

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Problem 24279

Question 14: Use Cramer's rule (matrix) to solve: $\left\{\begin{array}{l} x+y+z=6 \\ 2 x+y-z=1 \\ 3 x+2 y+z=10 \end{array}\right.$

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Problem 24280

Question 15: Find the values of $k$ for which the equation $x^{2}+3 k x+k=0$ has: a) Two distinct real roots b) Double roots. c) No real roots.

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Problem 24281

Given the function $f(x) = \ln(x+1)$ , find the values of $x$ for which $f(f(x)) > x_0$ .

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Problem 24282

Is the solution shown below correct? Explain. $\begin{array}{l} 9 x+2=8 x^{2}+6 x \\ -8 x^{2}+3 x+2=0 \\ x=\frac{-3 \pm \sqrt{(3)^{2}-(4)(-8)(2)}}{-16} \\ x=\frac{-3 \pm \sqrt{9-(64)}}{-16} \\ x=\frac{3 \pm \sqrt{55 i}}{16} \end{array}$ RETRY/

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Problem 24283

$\begin{array}{l} \frac{\cos 2 x-\cos 4 x}{\sin 2 x+\sin 4 x}= \\ \frac{\cos 2 x+\cos 4 x}{\sin 2 x-\sin 4 x}= \end{array}$ $\tan x$ $\qquad$ cots -Cot $x$ $\sin x$ $-\tan x$

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Problem 24284

Consider the equation $-16 \cdot 10^{6 x}=-80$ Solve the equation for $x$ . Express the solution as a logarithm in base-10. $\square$ Approximate the value of $x$ . Round your answer to the nearest thousandth. $x \approx \square$

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Problem 24285

$1 \quad 1^{s t} \& 2^{\text {nd }}$ Derivative test
For the following functions defined below, (a) Locate the critical points of $f$ . (b) Use the First Derivative Test to locate the local maximum and minimum values. (c) Identify the inflection points. (d) Use the Second Derivative Test to locate the local maximum and minimum values. (i) $f(x)=2 x^{3}+5 x^{2}-10 x$ (ii) $f(x)=x^{2}-3 x+2$ (iii) $f(x)=x^{2}-\sqrt[3]{x}$

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Problem 24286

3
Select the correct answer.
Convert $x=4$ to polar form. A. $r=4 \sin \theta$ B. $r=\frac{\cos \theta}{4}$ C. $r=\frac{4}{\cos \theta}$ D. $r=4$ E. $r=\frac{4}{\sec \theta}$

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Problem 24287

Solve the following equation. $\log _{2}(5 x+7)=4$
The solution set is $\square$ \}. (Simplify your answer.)

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Problem 24288

Guided Practice Graph the function, and state the domain and range. $40 \mathrm{y}=x^{2}$

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Problem 24289

Write $2 \frac{2}{6}$ as an improper fraction. Give your answer in its lowest terms.

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Problem 24290

$f(x)=x^{2}+4 x-1$ for $x=2$ and $x=1.5$

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Problem 24291

Subtract. Simplify the result if possible. $\begin{array}{l} \frac{4 m}{m-3}-\frac{12}{m-3} \\ \frac{4 m}{m-3}-\frac{12}{m-3}= \end{array}$

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Problem 24292

Multiply. $\frac{4 x-16}{6 x^{2}+x} \cdot \frac{6 x^{2}+25 x+4}{x^{2}-16}$ $\frac{4 x-16}{6 x^{2}+x} \cdot \frac{6 x^{2}+25 x+4}{x^{2}-16}=$ $\qquad$ (Type your answer in factored form.)

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Problem 24293

Simplify the complex fraction. $\frac{2 s-\frac{2}{s}}{6+\frac{2}{s}}$
Need Help? Read It Watch It Submit Answer

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Problem 24294

8. Write the number 2 in each bracket and evaluate, a) $5(2)=\underline{5 \times 2}=10$ d) $2(\square)+5$ b) $3(2)=3 \times 2=$ $\qquad$ c) $4(\square)=$ $\qquad$ $=$ $\qquad$ $=$ $\qquad$ $\qquad$ e) $4($ $\qquad$ $-2$ $=$ $\qquad$ $=$ $\qquad$ f) $6(\square)+3$ $=\underline{ }=$ $\qquad$

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Problem 24295

Solve: $\sqrt{3 x+7}=\sqrt{5 x+1}$ (A) $x=3$
B $x=0$ C $x=-1$
D $x=2$

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Problem 24296

For the quadratic function $f(x)=x^{2}+6 x$ parts (a) through (f). (Type your answer in interval notation.) The range of $f$ is $(-9, \infty)$ . (Type your answer in interval notation.) (e) Determine where the quadratic functio increasing and where it is decreasing.
The function is increasing on the interval (Type your answer in interval notation.)

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Problem 24297

Add, and then simplify, if possible. $\frac{7}{4 y}+\frac{12}{4 y}$ $\square$ Need Help? Read II

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Problem 24298

Find a basis for the eigenspace corresponding to the eigenvalue. $A=\left[\begin{array}{rrr} 3 & 3 & -2 \\ 2 & 8 & -4 \\ -2 & -6 & 6 \end{array}\right], \lambda=2$
A basis for the eigenspace corresponding to $\lambda=2$ is $\square$ (Type a vector or list of vectors. Type an integer or simpantied fraction for each matrix element. Use a comma to separate answers as needed)

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Problem 24299

4 3 \longdiv { 9 2 }

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Problem 24300

Evaluate. $\frac{6!4!}{5!2!}$
Simplify your answer as much as possible. $\square$ $\frac{\square}{\square}$
? 囦 $\square$ 回 Aa

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Math Statement

Problem 24201

Find lim⁡x→+∞2x+5x2−7x+3\lim _{x \rightarrow+\infty} \frac{2 x+5}{x^{2}-7 x+3}limx→+∞​x2−7x+32x+5​Add your answer Integer, decimal, or E notation allowed

Problem 24202

Find lim⁡x→4x2−x−12x−4\lim _{x \rightarrow 4} \frac{x^{2}-x-12}{x-4}limx→4​x−4x2−x−12​Add your answer Integer, decimal, or E notation allowed

Problem 24203

Determine where f(x)\mathrm{f}(\mathrm{x})f(x) is continuous. f(x)=sin⁡−12xf(x)=\sin ^{-1} 2 xf(x)=sin−12x (A) −1/2-1 / 2−1/2 and 1/21 / 21/2 (B) 1 and - 1/21 / 21/2 (C) -1 and 0 (D) -1 and -3

Problem 24204

(a) x1+2x2−x3=2x1+x2+2x3=0x1−x2−x3=1\begin{aligned} x_{1}+2 x_{2}-x_{3} & =2 \\ & x_{1}+x_{2}+2 x_{3}=0 \\ & x_{1}-x_{2}-x_{3}=1\end{aligned}x1​+2x2​−x3​​=2x1​+x2​+2x3​=0x1​−x2​−x3​=1​

Problem 24205

Is the function f such that f(x)=1xf(x)=\frac{1}{x}f(x)=x1​ for x>0\mathrm{x}>0x>0 and f(0)=0\mathrm{f}(0)=0f(0)=0 continuous over [0,1][0,1][0,1] ? (A) no (B) yes (C) maybe (D) none of the answer

Problem 24206

Evaluate d4ydx4[x−3]∣x=1\left.\frac{d^{4} y}{d x^{4}}\left[x^{-3}\right]\right|_{x=1}dx4d4y​[x−3]∣∣​x=1​ (A) 360 (B) 112 (C) 0 (D) 24

Problem 24207

S=[−94−7−6]S=\left[\begin{array}{llll} -9 & 4 & -7 & -6 \end{array}\right]S=[−9​4​−7​−6​]The additive inverse is □\square□ (Simplify your answer.)

Problem 24208

Part 2. Solve the following systems of equations using algebra and write your answers as ordered pairs. Show all work and box your final answer.5. 2x−y=12;x+5y=172 x-y=12 ; x+5 y=172x−y=12;x+5y=176. 8x+4z=52;3x−2z=238 x+4 z=52 ; 3 x-2 z=238x+4z=52;3x−2z=23

Problem 24209

sec⁡(x)cot⁡(x)=\sec (x) \cot (x)=sec(x)cot(x)=A sin⁡(x)\sin (x)sin(x)B cos⁡(x)\cos (\mathrm{x})cos(x)C tan⁡(x)\tan (x)tan(x)D sec⁡(x)\sec (x)sec(x) Ecsc⁡(x)E \quad \csc (x)Ecsc(x)

Problem 24210

Solve. 5(3z−8)=−105(3 z-8)=-105(3z−8)=−10Answer Attempt 1 out of 2

Problem 24211

[i]. Type the integer that makes the following addition sentence true: −3+□=−12-3+\square=-12−3+□=−12 Submit

Problem 24212

Seventh grade B. 13 Complete addition and subtraction equations with integers PGA Yol秘. Type the integer that makes the following addition sentence true: □\square□ +10=−4+10=-4+10=−4 Submit

Problem 24213

Give an example of a 2×22 \times 22×2 matrix that is its own inverse.An example of a 2×22 \times 22×2 matrix that is its own inverse is □\square□

Problem 24214

Problem 24215

1. (15.6.8) Evaluate ∫01∫01∫02−x2−y2xyezdzdydx\int_{0}^{1} \int_{0}^{1} \int_{0}^{2-x^{2}-y^{2}} x y e^{z} d z d y d x∫01​∫01​∫02−x2−y2​xyezdzdydx. Cite used theorems or formulas.

Problem 24216

Problem 24217

Problem 24218

Given y=−2x2+4x+1y=-2 x^{2}+4 x+1y=−2x2+4x+1, identify the vertex, axis of symmetry, and maximum value.

Problem 24219

Problem 24220

2. x2+11x+24x^{2}+11 x+24x2+11x+24

Problem 24221

Problem 24222

Problem 24223

Find the area of the triangle defined by the vectors ⟨4,8⟩\langle 4,8\rangle⟨4,8⟩ and ⟨−1,2⟩\langle-1,2\rangle⟨−1,2⟩. □\square□ square units (Type an integer or a fraction.)

Problem 24224

Problem 24225

Find the derivative of the polynomial Pn(x)=xn+xn−1+⋯+x2+x−1P_{n}(x) = x^{n} + x^{n-1} + \cdots + x^{2} + x - 1Pn​(x)=xn+xn−1+⋯+x2+x−1.

Problem 24226

x2+5x+2=0x^{2}+5 x+2=0x2+5x+2=0

Problem 24227

Consider the probability distribution f(x)=(0.1904)(0.8096)x,x=0,1,2,3,4,5,…f(x)=(0.1904)(0.8096)^{x}, x=0,1,2,3,4,5, \ldotsf(x)=(0.1904)(0.8096)x,x=0,1,2,3,4,5,… Find P(X≥16)\mathrm{P}(X \geq 16)P(X≥16). NOTE: give your answer to 6 decimal places. Example: "2.000000" (not simply "2").

Problem 24228

Convert r=4cos⁡(θ)r=4 \cos (\theta)r=4cos(θ) to a rectangular equation.

Problem 24229

Problem 24230

2. Write an equation for the parabola with given vertex (6,4)(6,4)(6,4) and passing through the point (8,6)(8,6)(8,6). [3K]

Problem 24231

10. f′(x)=8sec⁡2xf^{\prime}(x)=8 \sec ^{2} xf′(x)=8sec2x

Problem 24232

Problem 24233

Problem 24234

Find all zeros of the followings use ±pq\pm \frac{p}{q}±qp​ to help determine if any zeros are frac 1.3x4+5x3+10x2+20x−8=01.3 x^{4}+5 x^{3}+10 x^{2}+20 x-8=01.3x4+5x3+10x2+20x−8=0

Problem 24235

Problem 24236

Problem 24237

Which of the following is NOT equivalent to (6x−18)(x+3)?(6 x-18)(x+3) ?(6x−18)(x+3)? 6(x2+6x+18)6\left(x^{2}+6 x+18\right)6(x2+6x+18) A 6x2−546 x^{2}-546x2−54 C 6(x2−9)6\left(x^{2}-9\right)6(x2−9) B 6x(x+3)−18(x+3)6 x(x+3)-18(x+3)6x(x+3)−18(x+3) D

Problem 24238

Problem 24239

Problem 24240

Which relation has the same graph as y=6(x+1)2−94y=6(x+1)^{2}-94y=6(x+1)2−94 ? a) y=6x2+12x−88y=6 x^{2}+12 x-88y=6x2+12x−88 b) y=6x2+12x−94y=6 x^{2}+12 x-94y=6x2+12x−94 C) y=6(x+12)2−88y=6(x+12)^{2}-88y=6(x+12)2−88 d) y=6x2+2x−88y=6 x^{2}+2 x-88y=6x2+2x−88

Problem 24241

(8x2+3x)−(x2−7x−3)\left(8 x^{2}+3 x\right)-\left(x^{2}-7 x-3\right)(8x2+3x)−(x2−7x−3)

Problem 24242

log⁡5(22⋅20)=\log _{5}(22 \cdot 20)=log5​(22⋅20)=

Problem 24243

Problem 24244

Problem 24245

Question 10 (Mandatory) (1 point) Determine the xxx-intercepts of the graph of y=4(x−4)2−144y=4(x-4)^{2}-144y=4(x−4)2−144. a) 40 and -8 b) 10 and 2 c) 10 and -2 d) 40 and 8

Problem 24246

4. Find (f+g)(2)(f+g)(2)(f+g)(2) if f(x)=2x2−3xf(x)=2 x^{2}-3 xf(x)=2x2−3x and g(x)=5x2−12xg(x)=5 x^{2}-12 xg(x)=5x2−12x.

Problem 24247

(u3)3⋅2v4\left(u^{3}\right)^{3} \cdot 2 v^{4}(u3)3⋅2v4

Problem 24248

Find $\lim _{x \rightarrow+\infty} \frac{2 x+5}{x^{2}-7 x+3}$
Add your answer Integer, decimal, or E notation allowed

Find $\lim _{x \rightarrow 4} \frac{x^{2}-x-12}{x-4}$
Add your answer Integer, decimal, or E notation allowed

Determine where $\mathrm{f}(\mathrm{x})$ is continuous. $f(x)=\sin ^{-1} 2 x$ (A) $-1 / 2$ and $1 / 2$ (B) 1 and - $1 / 2$ (C) -1 and 0 (D) -1 and -3

(a) $\begin{aligned} x_{1}+2 x_{2}-x_{3} & =2 \\ & x_{1}+x_{2}+2 x_{3}=0 \\ & x_{1}-x_{2}-x_{3}=1\end{aligned}$

Is the function f such that $f(x)=\frac{1}{x}$ for $\mathrm{x}>0$ and $\mathrm{f}(0)=0$ continuous over $[0,1]$ ? (A) no (B) yes (C) maybe (D) none of the answer

Evaluate $\left.\frac{d^{4} y}{d x^{4}}\left[x^{-3}\right]\right|_{x=1}$ (A) 360 (B) 112 (C) 0 (D) 24

$S=\left[\begin{array}{llll} -9 & 4 & -7 & -6 \end{array}\right]$
The additive inverse is $\square$ (Simplify your answer.)

Part 2. Solve the following systems of equations using algebra and write your answers as ordered pairs. Show all work and box your final answer.
5. $2 x-y=12 ; x+5 y=17$
6. $8 x+4 z=52 ; 3 x-2 z=23$

$\sec (x) \cot (x)=$
A $\sin (x)$
B $\cos (\mathrm{x})$
C $\tan (x)$
D $\sec (x)$ $E \quad \csc (x)$

Solve. $5(3 z-8)=-10$
Answer Attempt 1 out of 2

[i]. Type the integer that makes the following addition sentence true: $-3+\square=-12$ Submit

Seventh grade B. 13 Complete addition and subtraction equations with integers PGA Yol
秘. Type the integer that makes the following addition sentence true: $\square$ $+10=-4$ Submit

Give an example of a $2 \times 2$ matrix that is its own inverse.
An example of a $2 \times 2$ matrix that is its own inverse is $\square$

1. (15.6.8) Evaluate $\int_{0}^{1} \int_{0}^{1} \int_{0}^{2-x^{2}-y^{2}} x y e^{z} d z d y d x$ . Cite used theorems or formulas.

Given $y=-2 x^{2}+4 x+1$ , identify the vertex, axis of symmetry, and maximum value.

2. $x^{2}+11 x+24$

Find the area of the triangle defined by the vectors $\langle 4,8\rangle$ and $\langle-1,2\rangle$ . $\square$ square units (Type an integer or a fraction.)

Find the derivative of the polynomial $P_{n}(x) = x^{n} + x^{n-1} + \cdots + x^{2} + x - 1$ .

$x^{2}+5 x+2=0$

Consider the probability distribution $f(x)=(0.1904)(0.8096)^{x}, x=0,1,2,3,4,5, \ldots$ Find $\mathrm{P}(X \geq 16)$ . NOTE: give your answer to 6 decimal places. Example: "2.000000" (not simply "2").

Convert $r=4 \cos (\theta)$ to a rectangular equation.

2. Write an equation for the parabola with given vertex $(6,4)$ and passing through the point $(8,6)$ . [3K]

10. $f^{\prime}(x)=8 \sec ^{2} x$

Find all zeros of the followings use $\pm \frac{p}{q}$ to help determine if any zeros are frac $1.3 x^{4}+5 x^{3}+10 x^{2}+20 x-8=0$

Which of the following is NOT equivalent to $(6 x-18)(x+3) ?$ $6\left(x^{2}+6 x+18\right)$ A $6 x^{2}-54$ C $6\left(x^{2}-9\right)$ B $6 x(x+3)-18(x+3)$ D

Which relation has the same graph as $y=6(x+1)^{2}-94$ ? a) $y=6 x^{2}+12 x-88$ b) $y=6 x^{2}+12 x-94$ C) $y=6(x+12)^{2}-88$ d) $y=6 x^{2}+2 x-88$

$\left(8 x^{2}+3 x\right)-\left(x^{2}-7 x-3\right)$

$\log _{5}(22 \cdot 20)=$

Question 10 (Mandatory) (1 point) Determine the $x$ -intercepts of the graph of $y=4(x-4)^{2}-144$ . a) 40 and -8 b) 10 and 2 c) 10 and -2 d) 40 and 8

4. Find $(f+g)(2)$ if $f(x)=2 x^{2}-3 x$ and $g(x)=5 x^{2}-12 x$ .

$\left(u^{3}\right)^{3} \cdot 2 v^{4}$

find the quotient and Remainder using long divistron $\frac{25 x^{3}+20 x^{2}-1}{5 x-1}$
9 is Ris $\text { If } e^{5 x}=13 \text {, Ther } x=$

If $e^{5 x}=13$ , Then $x=$

Evaluate the limit: $\lim _{x \rightarrow 0} \frac{\sqrt{4 x+49}-7}{x}=$ $\square$

10. What is the radicand in the radical expression $\sqrt[4]{625}$ ? 4 25 625 2500

Solve by factoring: $4 x^{2}+15 x-25=0$ (A) $\left\{-\frac{5}{4}, 5\right\}$ (B) $\left\{-5, \frac{5}{4}\right\}$ (C) $\left\{ \pm \frac{5}{2}\right\}$ (D) $\left\{ \pm \frac{2}{5}\right\}$

Page 17 of 35 Previous Next
Halla las raíces cúbicas del siguiente número - 729.

$2 x=0$

Identify one solution to the system of polynomial equations below. $\begin{array}{l} y=x^{3}-1 \\ y=x^{2} \end{array}$
A $(1.466,2.148)$
B $(1.502,2.643)$
C $(-0.755,0.570)$
D $(0,0)$

Basic Momentum
1. Calculate the momentum of a $1.60 \times 103 \mathrm{~kg}$ car traveling at $20.0 \mathrm{~m} / \mathrm{s}$ .

$\frac{\sin B}{b}=\frac{\sin A}{a} \rightarrow \frac{\sin B}{11}=\frac{\sin 412}{7.7}$

Multiply: $\frac{9}{11} * 4$

swer using only positive ex
12. $\left(8^{-3 / 4}\right)^{-2 / 3}$

11. $\left(4^{-1}\right)^{1 / 3}$

Solve for $w$ . $-w+19>-18+12 w-15$
Write your answer with w first, followed by an inequality symbol.

b) solve for $x:-\frac{9}{5} x=-45$

Question3: Given matrices: $A=\left(\begin{array}{ll}2 & 5 \\ 1 & 3\end{array}\right), B=\left(\begin{array}{rr}3 & -5 \\ -1 & 2\end{array}\right)$ , Find the determinant of $A, A+B$ and $A B$

Question4. Find the solution set of $\left\{\begin{array}{c}y=x^{2} \\ y=x+2\end{array}\right.$

Question5 : Solve graphically: $\left\{\begin{array}{c}2 x+y \geq 5 \\ x-3 y \leq-8\end{array}\right.$

Question 6: Solve in the set of real numbers the equations using factorization a) $x^{2}+6 x+8=0$ b) $x^{2}+8 x=0$ ,