Browse Algebra problems Studdy Solved!

Problem 28801

1. A line passes through points $(8,-2)$ and $(-5,7)$ . Which ratio can be used to determine the slope of the line? a. $\frac{8+5}{-2+7}$ c. $\frac{7-2}{-5-8}$ b. $\frac{7+2}{8+5}$ d. $\frac{7+2}{-5-8}$

See Solution

Problem 28802

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

See Solution

Problem 28803

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

See Solution

Problem 28804

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

See Solution

Problem 28805

Choose the correct translation for the given statement.
It must exceed ten. $x \leq 10$ $x \geq 10$ $x>10$ $x<10$

See Solution

Problem 28806

Graph the given set and write the corresponding interval notation. $\{x \mid 5<x\}$
Part: 0 / 2 $\square$
Part 1 of 2
Graph the set.

See Solution

Problem 28807

Which graph shows $y=2 x-\frac{1}{2}$ ?

See Solution

Problem 28808

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). $\sum_{n=1}^{18}(3 n-28)$ $\sum_{n=1}^{20}(3 n-28)$ $\sum_{n=1}^{20}(-3 n-22)$ $\sum_{n=1}^{18}(-3 n-22)$

See Solution

Problem 28809

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

See Solution

Problem 28810

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). $\log \left(\frac{(x+1)^{4} \sqrt[3]{x+2}}{(x+5)^{2}}\right)$ $\log \left(\frac{(x+1)^{4}(x+5)^{2}}{\sqrt[3]{x+2}}\right)$ $\log \left(\frac{8(x+1)(x+5)}{3 \sqrt{x+2}}\right)$ $\log \left(\frac{8\left(x^{2}+6 x+5\right)}{\sqrt[3]{x+2}}\right)$

See Solution

Problem 28811

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

See Solution

Problem 28812

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

See Solution

Problem 28813

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

See Solution

Problem 28814

Find an equation of the inverse of the relation $y=3 x+4$ . Then complete the second table of the inverse and graph both the original relation and its inverse. \begin{tabular}{|r|r|} \hline $\mathbf{x}$ & $\mathbf{y}$ \\ \hline-1 & 1 \\ \hline 0 & 4 \\ \hline 1 & 7 \\ \hline 2 & 10 \\ \hline 3 & 13 \\ \hline \end{tabular} \begin{tabular}{|c|c|} \hline $\mathbf{x}$ & $\mathbf{y}$ \\ \hline 1 & \\ \hline 4 & \\ \hline 7 & \\ \hline 10 & \\ \hline 13 & \\ \hline \end{tabular}
The equation of the inverse of the relation is $\mathrm{x}=\square$ . (Do not factor. Use integers or fractions for any numbers in the expression.)

See Solution

Problem 28815

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) $y=6 x^{2}+2 x-88$

See Solution

Problem 28816

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

See Solution

Problem 28817

^ 3.11.3 Qulz: Comparing and Analyzing Function Types
Questlon 4 of 10 What can you say about the continuous function that generated the following table of values? \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 0.125 & -3 \\ \hline 0.5 & -1 \\ \hline 2 & 1 \\ \hline 8 & 3 \\ \hline 64 & 6 \\ \hline \end{tabular} A. the function has at least one $x$ -intercept B. not enough information to answer the question C. the function has more than one $x$ -intercept D. the function has no $x$ -intercepts

See Solution

Problem 28818

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

See Solution

Problem 28819

เi. on 5 - Notes C. Q Line Guide Reset Answer
This question has multiple parts. Be sure to answer all the parts of this question.
Each figure is created using green hexagon tiles. PART A
Is the sequence describing the number of green hexagons used in each figure an arithmetic or geometric sequence? Explain.
Figure 1 Figure 2 Figure 3 Enter your response here

See Solution

Problem 28820

HS Algebra 2 UO Quick Quiz \#1 - 24-25 / 6 OF 8 on 6 - Notes Line Guide Reset Answer
This question has many parts. Be sure to answer all the parts of the question.
A sandwich shop charges one price for any foot-long sub, with the option of adding premium toppings for $\$ 1.30$ each. A foot-long sub with 2 premium toppings costs \ $9.09. Adrienne and Riley are asked to write an explicit rule for the cost of a footlong sandwich with$ n $premium toppings. Their answers are shown below. Adrienne:$ f(n)=9.09+1.30(n-2) $Riley:$ f(n)=6.49+1.30 n$ Review/ End Test Flag I Options Back Naxt

See Solution

Problem 28821

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

See Solution

Problem 28822

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

See Solution

Problem 28823

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

See Solution

Problem 28824

The graph of $f$ behaves like $y=x^{3}$ for large values of $|x|$ . (b) Find the $x$ -and $y$ -intercepts of the graph of the function
The x -intercept(s) is/are 0,6 (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.)
The $y$ -intercept is 0 (Simplify your answer. Type an integer or a fraction.) (c) Determine the zeros of the function and their multiplicity. Use this information to determine whether the graph crosses or touches the x -axis at each x -intercept.
The zero(s) of $f$ is/are 0,6. (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.) The lesser zero of the function is of multiplicity 2, so the graph of $f$ touches the $x$ -axis at $x=0$ . The greater zero of the function is of multiplicity 1 , so the graph of f crosses the x -axis at $\mathrm{x}=6$ . (d) Determine the maximum number of turning points on the graph of the function. $\square$ (Type a whole number.)

See Solution

Problem 28825

- * \begin{tabular}{|c|c|} \hline & \\ \hline-3 & -9 \\ \hline-1 & -3 \\ \hline 3 & 9 \\ \hline 7 & 21 \\ \hline \end{tabular}
What is the constant of proportionality for the table?
A -3
B 8
C 16
D 3

See Solution

Problem 28826

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

See Solution

Problem 28827

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

See Solution

Problem 28828

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

See Solution

Problem 28829

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

See Solution

Problem 28830

17. Write an equation of the line that passes through $(3,1)$ and is parallel to $y=-3 x+4$
18. Write an equation of the line that passes through $(-2,-3)$ and is perpendicular to $y=\frac{2}{5} x+6$

See Solution

Problem 28831

Is $v=-140$ a solution to the inequality below? $\frac{v}{5}-8>-15$ yes no

See Solution

Problem 28832

This question has two parts.
Angela makes an error when finding the product of 3 and 42 . Her work is shown. Part A Click on the part of the work where Angela's error first appears. \begin{tabular}{|c|c|} \hline Given & $3 \times 42$ \\ \hline Step 1 & $3 \times(4+2)$ \\ \hline Step 2 & $(3 \times 4)+(3 \times 2)$ \\ \hline \end{tabular}
Part B What is the product of 3 and 42 ?

See Solution

Problem 28833

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

See Solution

Problem 28834

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 $g(x)=$ $\square$ .

See Solution

Problem 28835

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

See Solution

Problem 28836

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

See Solution

Problem 28837

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 $x=$ $\square$ .

See Solution

Problem 28838

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) $\left\{ \pm \frac{2}{5}\right\}$

See Solution

Problem 28839

$2 x=0$

See Solution

Problem 28840

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 $(0,0)$

See Solution

Problem 28841

When a number is increased by 35 , the result is 38. What equation fits this statement?
A $x-35=38$ B $x+38=35$ (C) $x-38=35$
D $x+35=38$

See Solution

Problem 28842

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

See Solution

Problem 28843

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: $\square$

See Solution

Problem 28844

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

See Solution

Problem 28845

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

See Solution

Problem 28846

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

See Solution

Problem 28847

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

See Solution

Problem 28848

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 $A B$

See Solution

Problem 28849

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

See Solution

Problem 28850

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

See Solution

Problem 28851

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

See Solution

Problem 28852

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

See Solution

Problem 28853

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

See Solution

Problem 28854

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

See Solution

Problem 28855

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) $A B$

See Solution

Problem 28856

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

See Solution

Problem 28857

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.

See Solution

Problem 28858

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

See Solution

Problem 28859

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/

See Solution

Problem 28860

Select all polynomials that have $(x+2)$ as a factor. Choose all answers that apply: (A) $A(x)=x^{3}-3 x^{2}-10 x$ (B) $B(x)=x^{3}+5 x^{2}+4 x$ (c) $C(x)=x^{3}-2 x^{2}-13 x-10$ (D) $D(x)=x^{3}-6 x^{2}+11 x-6$

See Solution

Problem 28861

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. $x \approx \square$

See Solution

Problem 28862

1. $G\left(m_{2}\right)$
An object with a mass of 25 Kg and another with a mass of 1500 Kg are separated by a distance to their centers of 1000 m . What is the gravitational force $(\mathrm{Fg})$ between them?
2. What would be the Fg in the above problem if both of the objects had a mass of 25 Kg ?
3. An unknown object is $1.6 \times 10^{15} \mathrm{~m}$ away from an object with a mass of $2.7 \times 10^{13} \mathrm{Kg}$ . If the force between them is 25 N , what is the mass of the unknown object?
4. Two objects, each with a mass of $7.78 \times 10^{-3} \mathrm{Kg}$ have a force of $1.5 \times 10^{-25} \mathrm{~N}$ . What is their radius in m ? Remember you have to take the square root.
5. Yalculate the force between an object of mass $9 \times 10^{2} \mathrm{Kg}$ and another of mass 1 Kg that are $5.5 \times 104 \mathrm{~m}$ art.

See Solution

Problem 28863

Enter the correct answer that completes the sentence below. Any line perpendicular to the graph of $4 x+7 y=7$ must have slope $\qquad$ . $\qquad$
Any line perpendicular to the graph of $4 x+7 y=7$ must have slope $\square$ $\square$ . (Type an integer or a simplified fraction.)

See Solution

Problem 28864

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

See Solution

Problem 28865

e polynomial function $f(x)$ is graphed below. Fill in the form below regarding the features of this graph.
Answer Attempt 3 out of 3
The degree of $f(x)$ is $\square$ minimums. and the leading coefficient is . There are $\square$ distinct real zeros and $\square$ rela Submit Answer

See Solution

Problem 28866

Suppose $z$ varies directly with $x$ and inversely with the square of $y$ . If $z=8$ when $x=4$ and $y=3$ , what is $z$ when $x=8$ and $y=6$ ? $z=$ $\square$ Next Question

See Solution

Problem 28867

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

See Solution

Problem 28868

If a certain number is added to the denominator of the fraction $\frac{3}{5}$ and 7 is added to the numerator, the result is a fraction that will reduce to $\frac{1}{2}$ . What number is added to the denominator?
Let $x=$ the number added to the denominator. $\frac{3+7}{5+x}=\frac{1}{2}$

See Solution

Problem 28869

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

See Solution

Problem 28870

Match the expression in Column I with its equivalent expression in Column II.
0 $-1$ 1 6 $-6$ Drag the correct choice given above into the appropriate area below to match each of the four given expressions. Choices may be used once, more than once, or not at all. I II (a) $6^{\circ}$ (b) $-6^{0}$ (c) $(-6)^{0}$ (d) $-(-6)^{0}$

See Solution

Problem 28871

2. The line through $(2, y)$ and $(1,-6)$ is perpendicular to a line with slope $1 / 2$ . Find $y$ .

See Solution

Problem 28872

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

See Solution

Problem 28873

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.)

See Solution

Problem 28874

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

See Solution

Problem 28875

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

See Solution

Problem 28876

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.)

See Solution

Problem 28877

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

See Solution

Problem 28878

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)

See Solution

Problem 28879

What are the features of the function $f(x)=2^{x}-6$ graphed below?
Answer Attempt 1 out of 2

See Solution

Problem 28880

Perform the operations and simplify. $\frac{x^{2}-4 x+4}{81-x^{2}} \div \frac{x^{2}-4}{x^{2}-11 x+18}$

See Solution

Problem 28881

James borrows $\$ 4,200$ to pay his college tuition. He signs a 5 -year simple interest loan. If the monthly payments are $\$ 78.40$ , what is the interest rate on the loan? 0.12\% 0.11\% 10.7\% 12\%

See Solution

Problem 28882

ber of years since 2018. Postcards: $p(x)=150+64 x$ Stickers: $s(x)=3(x+4)^{2}+200$ exponential function $t(x)$ shown on the coordinate grid $w$ represents the number of t -shirt sales Brayton has made $x$ s after 2018.
Which/function represents the number of $t$ -shift sales Brastion has made $x$ years after 2018?
A $t_{0}(x)=140(0.71)^{x}$
B $\quad t(x)=100(1.4)^{x}$
C $t(x)=100(0.4)^{x}$
D $\quad t(x)=140(2)^{x}$

See Solution

Problem 28883

4-6 Additional Practice In 1-14, write an inequality for each situation.
5. The least amount of water, $w$ , that hiker must bring is 30 ounces.

See Solution

Problem 28884

Find the value of the expression $(66 \div p) \cdot 332$ for $p=33$ .

See Solution

Problem 28885

Convert the expression from exponential form to radical form. $\begin{array}{c} x^{2 / 7} \\ x^{2 / 7}= \end{array}$

See Solution

Problem 28886

Find the partial fraction decomposition of the following rational expression. $\begin{array}{l} \frac{12}{x\left(x^{2}+4\right)} \\ \frac{12}{x\left(x^{2}+4\right)}= \end{array}$ $\square$ (Use integers or fractions for any numbers in the expression.)

See Solution

Problem 28887

$y$ varles inversely as $x$ . If $x=2$ then $y=7$ . Find $y$ when $x=4$ . $\square$ $y=$ Submit Question

See Solution

Problem 28888

Graph the hyperbola using the transverse axis, vertices, and co-vertices: $\frac{x^{2}}{4}-\frac{y^{2}}{25}=1$
Use the green key point to change the orientation of the transverse axis, and the red key points to adjust the locations of the vertices and co-vertices.
Provide your answer below:

See Solution

Problem 28889

For a starting dollar amount of $\$ 19,365$ and an annual interest rate of $4.7 \%$ compounded quarterly, use the Compound Interest Formula to find the final dollar AMOUNT after 14 YEARS.
Compound Interest Formula: $A=P *\left(1+\frac{r}{n}\right)^{(n \star t)}$
Section 4B \$36,981.44 \$37,126.34 \$37,316.29 \$37,249.24 \$37,258.42

See Solution

Problem 28890

Graph the hyperbola using the transverse axis, vertices, and co-vertices: $4 y^{2}-x^{2}-4=0$
Use the green key point to change the orientation of the transverse axis, and the red key points to adjust the locations of the vertices and co-vertices.
Provide your answer below:

See Solution

Problem 28891

A person earns $\$ 17,300$ one year and gets a $5 \%$ raise in salary. What is the new salary?
The new salary is $\$$ $\square$

See Solution

Problem 28892

Corinne's goal is to have $\$ 27,500$ to start a new cake decorating business when she retires in 15 years. How much should she invest now in a CD that pays $4.35 \%$ interest compounded quarterly to reach her goal?
Corinne needs to invest \\square$ now. (Round to the nearest cent as needed.)

See Solution

Problem 28893

A department store sells a pair of shoes with an $87 \%$ markup. If the store sells the shoes for $\$ 192.61$ then what is their non-markup pri \$87 \$103 \$142 \$187

See Solution

Problem 28894

Find the simple interest. Assume the rate is an annual rate. Assume 360 days in a year. \begin{tabular}{cccc} Principal & Rate & Time in Months & Interest \\ $p=\$ 1400$ & $r=5 \frac{1}{2} \%$ & $t=9$ & \end{tabular}
The interest is \\square$ (Round to the nearest cent.)

See Solution

Problem 28895

Determine the simple interest. The rate is an annual rate. Assume 360 days in a year. $p=\$ 460, r=1.25 \%, t=5.75 \text { years }$
The simple interest is $\$$ $\square$ (Round to the nearest cent as needed.)

See Solution

Problem 28896

A youth sports league held various fundraisers. They received $\$ 340$ from a car wash, $\$ 579$ from a bake sale, and $\$ 195$ from a used equipment sale. The league decides to invest this money in a 3 year CD that pays $4.3 \%$ interest compounded daily. How much will the league receive from the CD in 3 years?
The league will have $\$$ $\square$ in this account after 3 years. (Round to the nearest cent as needed.)

See Solution

Problem 28897

Use the compound interest formula to compute the total amount accumulated and the interest earned. $\$ 2500$ for 5 years at $3.2 \%$ compounded monthly
The total amount accumulated after 5 years is $\$$ $\square$ (Round to the nearest cent as needed.) The amount of interest earned is $\$$ $\square$ (Round to the nearest cent as needed.)

See Solution

Problem 28898

26 Write the equation of the line graphed below in slope-intercept form. (A) $y^{-2 x}$ $(\mathrm{B}) y=2 x+2$ $(b) y=2$

See Solution

Problem 28899

In 9-14, evaluate each expression for the value glven.
9. $z+4\} z=824$

See Solution

Problem 28900

The maximum distance $d$ in kilometers that you can see from a height of $h$ meters is given by $d=3.5 \sqrt{h}$ . Find the distance you can see from the top of a tower that is 272.5 meters high.

See Solution

Algebra

Problem 28801

Problem 28802

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

Problem 28803

Problem 28804

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 28805

Choose the correct translation for the given statement.It must exceed ten. x≤10x \leq 10x≤10 x≥10x \geq 10x≥10 x>10x>10x>10 x<10x<10x<10

Problem 28806

Graph the given set and write the corresponding interval notation. {x∣5<x}\{x \mid 5<x\}{x∣5<x}Part: 0 / 2 □\square□Part 1 of 2Graph the set.

Problem 28807

Which graph shows y=2x−12y=2 x-\frac{1}{2}y=2x−21​ ?

Problem 28808

Problem 28809

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 28810

Problem 28811

Problem 28812

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 28813

Problem 28814

Problem 28815

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 28816

(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 28817

Problem 28818

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

Problem 28819

Problem 28820

Problem 28821

Problem 28822

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 28823

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 28824

Problem 28825

- * \begin{tabular}{|c|c|} \hline & \\ \hline-3 & -9 \\ \hline-1 & -3 \\ \hline 3 & 9 \\ \hline 7 & 21 \\ \hline \end{tabular}What is the constant of proportionality for the table?A -3B 8C 16D 3

Problem 28826

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

Problem 28827

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

Problem 28828

find the quotient and Remainder using long divistron 25x3+20x2−15x−1\frac{25 x^{3}+20 x^{2}-1}{5 x-1}5x−125x3+20x2−1​9 is Ris If e5x=13, Ther x=\text { If } e^{5 x}=13 \text {, Ther } x= If e5x=13, Ther x=

Problem 28829

If e5x=13e^{5 x}=13e5x=13, Then x=x=x=

Problem 28830

17. Write an equation of the line that passes through (3,1)(3,1)(3,1) and is parallel to y=−3x+4y=-3 x+4y=−3x+418. Write an equation of the line that passes through (−2,−3)(-2,-3)(−2,−3) and is perpendicular to y=25x+6y=\frac{2}{5} x+6y=52​x+6

Problem 28831

Is v=−140v=-140v=−140 a solution to the inequality below? v5−8>−15\frac{v}{5}-8>-155v​−8>−15 yes no

Problem 28832

Problem 28833

Problem 28834

Problem 28835

Problem 28836

10. What is the radicand in the radical expression 6254\sqrt[4]{625}4625​ ? 4 25 625 2500

Problem 28837

Problem 28838

Solve by factoring: 4x2+15x−25=04 x^{2}+15 x-25=04x2+15x−25=0 (A) {−54,5}\left\{-\frac{5}{4}, 5\right\}{−45​,5} (B) {−5,54}\left\{-5, \frac{5}{4}\right\}{−5,45​} (C) {±52}\left\{ \pm \frac{5}{2}\right\}{±25​} (D) {±25}\left\{ \pm \frac{2}{5}\right\}{±52​}

Problem 28839

2x=02 x=02x=0

Problem 28840

Identify one solution to the system of polynomial equations below. y=x3−1y=x2\begin{array}{l} y=x^{3}-1 \\ y=x^{2} \end{array}y=x3−1y=x2​A (1.466,2.148)(1.466,2.148)(1.466,2.148)B (1.502,2.643)(1.502,2.643)(1.502,2.643)C (−0.755,0.570)(-0.755,0.570)(−0.755,0.570)D (0,0)(0,0)(0,0)

Problem 28841

When a number is increased by 35 , the result is 38. What equation fits this statement?A x−35=38x-35=38x−35=38 B x+38=35x+38=35x+38=35 (C) x−38=35x-38=35x−38=35D x+35=38x+35=38x+35=38

Problem 28842

Basic Momentum1. Calculate the momentum of a 1.60×103 kg1.60 \times 103 \mathrm{~kg}1.60×103 kg car traveling at 20.0 m/s20.0 \mathrm{~m} / \mathrm{s}20.0 m/s.

Problem 28843

Problem 28844

swer using only positive ex12. (8−3/4)−2/3\left(8^{-3 / 4}\right)^{-2 / 3}(8−3/4)−2/3

Problem 28845

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

Problem 28846

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

Problem 28847

b) solve for x:−95x=−45x:-\frac{9}{5} x=-45x:−59​x=−45

Problem 28848

Question3: Given matrices: A=(2513),B=(3−5−12)A=\left(\begin{array}{ll}2 & 5 \\ 1 & 3\end{array}\right), B=\left(\begin{array}{rr}3 & -5 \\ -1 & 2\end{array}\right)A=(21​53​),B=(3−1​−52​), Find the determinant of A,A+BA, A+BA,A+B and ABA BAB

Problem 28849

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

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

Choose the correct translation for the given statement.
It must exceed ten. $x \leq 10$ $x \geq 10$ $x>10$ $x<10$

Graph the given set and write the corresponding interval notation. $\{x \mid 5<x\}$
Part: 0 / 2 $\square$
Part 1 of 2
Graph the set.

Which graph shows $y=2 x-\frac{1}{2}$ ?

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 $g(x)=5 x^{2}-12 x$ .

- * \begin{tabular}{|c|c|} \hline & \\ \hline-3 & -9 \\ \hline-1 & -3 \\ \hline 3 & 9 \\ \hline 7 & 21 \\ \hline \end{tabular}
What is the constant of proportionality for the table?
A -3
B 8
C 16
D 3

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

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 $x=$

17. Write an equation of the line that passes through $(3,1)$ and is parallel to $y=-3 x+4$
18. Write an equation of the line that passes through $(-2,-3)$ and is perpendicular to $y=\frac{2}{5} x+6$

Is $v=-140$ a solution to the inequality below? $\frac{v}{5}-8>-15$ yes no

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) $\left\{ \pm \frac{2}{5}\right\}$

$2 x=0$

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 $(0,0)$

When a number is increased by 35 , the result is 38. What equation fits this statement?
A $x-35=38$ B $x+38=35$ (C) $x-38=35$
D $x+35=38$

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

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) $x^{2}+8 x=0$ ,

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

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

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

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

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.

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

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. $x \approx \square$

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

Suppose $z$ varies directly with $x$ and inversely with the square of $y$ . If $z=8$ when $x=4$ and $y=3$ , what is $z$ when $x=8$ and $y=6$ ? $z=$ $\square$ Next Question

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

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

2. The line through $(2, y)$ and $(1,-6)$ is perpendicular to a line with slope $1 / 2$ . Find $y$ .

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

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