Algebra

Problem 27901

$25 x-10 x y=$ $\square$ (Factor completely.)

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Problem 27902

A baseball bat contacts a $0.145-\mathrm{kg}$ baseball for $1.3 \times 10^{-3} \mathrm{~s}$ The average force exerted by the bat on the ball is 8900 N .
Part A
If the ball has an initial velocity of $44 \mathrm{~m} / \mathrm{s}$ toward the bat and the force of the bat causes the ball's motion to reverse direction, what is the ball's speed as it leaves the bat? Express your answer with the appropriate units. $v_{\mathrm{f}}=\text { Valuet }_{\mathrm{s}}^{\mathrm{s}}$ Submit Previous Answers Request Answer Incorrect; Try Again; 9 attempts remaining

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Problem 27903

Question 4 of 10 Complete the square to solve the equation below. $x^2 - 10x - 2 = 17$
A. $x = 6 + \sqrt{30}$ ; $x = 6 - \sqrt{30}$ B. $x = 5 + \sqrt{29}$ ; $x = 5 - \sqrt{29}$ C. $x = 5 + \sqrt{44}$ ; $x = 5 - \sqrt{44}$ D. $x = 5 + \sqrt{55}$ ; $x = 5 - \sqrt{55}$ SUBMIT

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Problem 27904

Question 6 of 10 Which choices are solutions to the following equation? Check all that apply. $x^2 - 5x = -\frac{9}{4}$ A. $x = 2$ B. $x = 4.5$ C. $x = 0.5$ D. $x = -1$

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Problem 27905

Question 7 of 10 What number must be added to the expression below to complete the square? $x^2 + 7x$ A. $\frac{7}{2}$ B. 7 C. 49 D. $\frac{49}{4}$ SUBMIT

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Problem 27906

Question 1 of 10 What is the discriminant of the polynomial below? $2x^2 + 5x - 8$ A. 31 B. -59 C. 89 D. -39 SUBMIT

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Problem 27907

Question 2 of 10 Which two values of $x$ are roots of the polynomial below?
$x^2 - 11x + 17$
A. $x = \frac{11 + \sqrt{-109}}{4}$ B. $x = 3$ C. $x = \frac{11 - \sqrt{-109}}{4}$ D. $x = \frac{11 + \sqrt{53}}{2}$ E. $x = 2.5$ F. $x = \frac{11 - \sqrt{53}}{2}$

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Problem 27908

b) $e^{\ln 3}$

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Problem 27909

Question 7 of 10 A number written in the form $a + bi$ is called a _______ number.
A. complex B. quadratic C. linear D. discriminant SUBMIT

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Problem 27910

Question 5 of 10 Using the graph as your guide, complete the following statement. The discriminant of the function is _______. A. zero B. positive C. negative

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Problem 27911

Question 6 of 10 Which of the following graphs is described by the function given below? $y = 2x^2 + 6x + 3$ A. B. C. D. A. Graph A B. Graph B C. Graph C D. Graph D

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Problem 27912

Practice 8 How much heat is evolved when 266 g of white phosphorus ( $P_4$ ) burns in air?
$P_4(s) + 5O_2(g) \xrightarrow{\Delta} P_4O_{10}(s)$ $\Delta H = -3013$ kJ

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Problem 27913

Question 2 of 10 Which of the following expressions is equal to $2x^2 + 18$ ? A. $(2x - 6)(x + 3)$ B. $(2x - 9)(x + 2)$ C. $(2x - 6)(x - 3)$ D. $(2x - 9)(x - 2)$ SUBMIT

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Problem 27914

Question 5 of 10 How many solutions does the nonlinear system of equations graphed below have? A. One B. Zero C. Two D. Four

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Problem 27915

Homework: Final Exam Review Question 28, Setup \& Solve-5.3.41 Part 1 of 7 HW Score: 41.54\%, 394.62 of 950 points Points: 0 of 20 Save estion list
Question 20
Question 21
Question 22
Question 23
Question 24
Question 25
Question 26
Question 27
For the function $\mathrm{G}(\mathrm{x})=-3+\frac{4}{(x-2)^{2}}$ , (a) graph the rational function using transformations, (b) use the final graph to find the domain and range, and (c) use the final graph to list any vertical, horizontal, or oblique asymptotes. (a) Which of the following transformations is required to graph the given function? A. Vertically stretch the graph of $y=\frac{1}{x^{2}}$ by a factor of 4 , shift it 2 units to the left, and 3 units down. B. Vertically stretch the graph of $y=\frac{1}{x^{2}}$ by a factor of 4 , shift it 2 units to the right, and 3 units down. C. Vertically stretch the graph of $y=\frac{1}{x^{2}}$ by a factor of 4 , shift it 3 units to the right, and 2 units down. D. Vertically stretch the graph of $y=\frac{1}{x^{2}}$ by a factor of 4 , shift it 2 units to the left, and 3 units up.

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Problem 27916

Example Find the characteristic equation of $A = \begin{bmatrix} 5 & -2 & 6 & -1 \\ 0 & 2 & -8 & 0 \\ 0 & 0 & 5 & 1 \\ 0 & 0 & 0 & 1 \end{bmatrix}$ The eigenvalues of a triangular matrix are the entries on its main diagonal.

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Problem 27917

Consider the following function. $s(x)=-2 \sqrt{x}-4-1$
Step 2 of 2: Determine the domain and range of the original function. Express your answer in interval notation.
Answer 2 Points

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Problem 27918

Question 19 of 42 Step 2 of 2 01:58:46
Consider the following equation: $\frac{-2 x}{x+1}=-2+\frac{1}{x+3}$
Step 2 of 2: Solve the equation, if possible. If there is a solution, express your answer as either an integer or a simplified fraction.
AnswerHow to enter your answer (opens in new window) 2 Points Keypad Keyboard Shortcuts
Separate your answers with commas, if necessary. Selecting a radio button will replace the entered answer value(s) with the radio button value. If the radio button is not selected, the entered answer is used. Next

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Problem 27919

$D = 1 - 2(2-1) + 3(3-1) + 7(7-1) + 9(9-1) + 4(4-1) + 6(6-1) + 1(1-1) + 2(2-1)$

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Problem 27920

Lesson 4.3
10. Select a strategy and determine the interval(s) for which each inequality is true. a) $(x+1)(x-2)(x+3)^{2}<0$ b) $\frac{(x-4)(2 x+3)}{5} \geq \frac{2 x+3}{5}$ c) $-2(x-1)(2 x+5)(x-7)>0$ d) $x^{3}+x^{2}-21 x+21 \leq 3 x^{2}-2 x+1$

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Problem 27921

Solve the system of linear equations using the Gauss-Jordan elimination method. $\begin{array}{r} x-2 y=9 \\ 4 x+3 y=3 \\ (x, y)=(\boxed{ }) \end{array}$

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Problem 27922

1. Determine algebraically where the intervals of the function are positive and negative. $f(x)=2 x^{4}-2 x^{3}-\sqrt{32} x^{2}-40 x$

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Problem 27923

$M(t)=-8 t^{2}+48 t$
Anlgabe 1 Berechne dic Lanne des Produldebernszyklus
2. Berechne den Gesantumsatz der eisten 3 Jahre

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Problem 27924

Ex. 4 Graph $2 x+3 y<9$

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Problem 27925

Practice Another Unclogging Arteries Research done in the 1930s by the French physiologist Jean Poiseuille showed that the resistance $R$ of a blood vessel of length / and radius $r$ is $R=\frac{k l}{r^{4}}$ , where $k$ is a constant. Suppose a dose of the drug TPA increases $r$ by $8 \%$ . How will this affect the resistance $R$ ? Assume that $l$ is constant. $\frac{d R}{R}=$

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Problem 27926

Question three: " 5 points"
1. Solve the following linear congruence $140x \equiv 56 \pmod{252}$
2. How many incongruent solutions this equation have?

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Problem 27927

Assume the following situation can be modeled by a linear function. Write an equation for the linear function and use it to answer the given question. Be sure you clearly and dependent variables. Then briefly discuss whether a linear model is reasonable for the situation described. The price of a particular model car is \$16,000 today and rises with time at a constant rate of \$880 per year. How much will a new car of this model cost in 3.2 years?
Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer.)
A. The independent variable is time ( $t$ ), in years, and the dependent variable is the price ( $p$ ), in dollars. The linear function that models this situation is $p =$ ▢. B. The independent variable is the price ( $p$ ), in dollars, and the dependent variable is time ( $t$ ), in years. The linear function that models this situation is $t =$ ▢.

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Problem 27928

Instruction: The paper consists of THREE questions. Answer question ONE (1) and any one from the rest questions 1 Find the equivalent stiffness for the following structure shown in Fig Q1. Neglect the mass of the bars. (10 marks)
Fig Q1 2 Determine the displacement $x$ velocity $x$ and acceleration $x \ddot{x}$ of a spring-mass system with $\omega_{\mathrm{n}}=10 \mathrm{rad} / \mathrm{s}$ for the initial conditions $\mathrm{x}_{0}=0.05 \mathrm{~m}$ and $\mathrm{x}_{0}=1 \mathrm{~m} / \mathrm{s}$ . ( 10 marks )
3 A circular cylinder of radius $r$ and mass $m$ is connected by spring stiffness $k$ to a rigid support as shown in Fig Q2. Find the natural frequency of free oscillations using energy method (10 marks)
Fig Q3

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Problem 27929

If P16,000 earns P480 in 9 months, what is the annual rate of interest? 3% 2% 1% 4%

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Problem 27930

La relación entre la cantidad total gastada en comida y bebida por los clientes que un camarero atiende en un restaurante durante una semana dete camarero durante esa semana se puede modelar mediante la ecuación $y=0,2 x+300$ , donde $x$ es la cantidad gastada por los clientes en dólares camarero en dỏlares. ¿En cuánto aumenta el ingreso semanal del camarero por cada $\$ 500$ que gastan sus clientes durante esa semana? $\$ 100$ $\$ 300$ $\$ 400$ $\$ 500$

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Problem 27931

4. [-/2 Points] DETAILS MY NOTES TANAPCALCBR10 5.1.014.
Simplify the expressions. (Use only positive exponents in your answers.) (a) $\left(x^{r / s}\right)^{s / r}$ $\square$ (b) $\left(x^{-b / a}\right)^{-a / b}$ $\square$
Need Help? Read It Watch It Submit Answer

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Problem 27932

Solve the equation for $x$ . $4^{x-x^{2}}=\frac{1}{64^{x}}$ smaller value $\quad x=$ $\square$ larger value $\quad x=$ $\square$

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Problem 27933

9. (a) Is the ordered pair $\left(\frac{7}{3}, -\frac{1}{2}\right)$ a solution of $3x - 2y \le 8$ ?

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Problem 27934

Solve the following exponential equation. Express the solution set in terms of natural logarithms or common logarithms. Then, use a calculator to obtain a decimal approximation for the solution. $e^{1-8 x}=551$
The solution set expressed in terms of logarithms is $\square$ $\beta$ . (Use a comma to separate answers as needed. Simplify your answer. Use integers or fractions for any numbers expression. Use In for natural logarithm and log for common logarithm.)

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Problem 27935

A 1-kg mass and a 2-kg mass are placed as shown to the left of the beam's center. How far from the right of center should a 3-kg mass be placed to balance the beam? A. 10 cm B. 20 cm C. 30 cm D. 40 cm E. 50 cm F. 60 cm G. None of the above.

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Problem 27936

Simplify the expression. Assume that the variable is unrestricted and use absolute value symbols when necessary. $\sqrt{b^2 - 4b + 4}$

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Problem 27937

Write in logarithmic form. $\frac{1}{256} = 4^{-4}$ The logarithmic form is $\boxed{}$ . (Use integers or fractions for any numbers in the expression.)

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Problem 27938

Rewrite in simplest terms: $4(6d + 9) - 5(2d - 10)$

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Problem 27939

Which expression is equivalent to $2(t-4)+1$ ? $2 t-9$ $2 t-7$ $2 t-5$ $2 t-3$

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Problem 27940

(c) $11-\sqrt{3 x}=4$

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Problem 27941

Which of the following is a point on the graph of $y=\left(\frac{1}{2}\right)^{z}$ ? $(0,0)$ $\left(2, \frac{1}{4}\right)$ $(2,1)$ $\left(0, \frac{1}{2}\right)$

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Problem 27942

$H_3 / (G_3 * G_4 * (1 + G_3 * G_4 * H_2))$

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Problem 27943

$7^{0} \cdot 7^{x}=7^{11}$

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Problem 27944

Two friends, Zachary and Nachelle, had just bought their first cars. Nachelle uses 13 gallons of gas to drive 196.3 miles in her car. The table below represents the number of miles, $y$ , that Zachary can drive his car for every $x$ gallons of gas.
Zachary's Gas Mileage Gallons ( $x$ ) | Miles ( $y$ ) ---|--- 3 | 87 5 | 145 7 | 203 9 | 261
Use the dropdown menu and answer-blank below to form a true statement.
Answer Attempt 1 out of 2
Nachelle's car gets \_\_\_\_\_\_ miles per gallon \_\_\_\_\_\_ than Zachary's car.

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Problem 27945

8. The 50 cent Bluenose is one of Canada's most famous postage stamps. In 1930 it could be bought at the post office for $\$ 0.50$ . In 2000, a stamp in excellent condition was sold at an auction for $\$ 512$ . Determine the doubling time for the stamp's value.
9. Strontium-90 has a half-life of 25 years. How long would it take for 40 mg of it to decay to: a) 20 mg b) 1.25 mg

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Problem 27946

Given $f(x)=7 x-10$ , what is the value of $f(-5)$ ? What is the value of $f(0)$ ? $\Gamma(-5)=$ $\qquad$ $f(0)=$ $\qquad$

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Problem 27947

Find the domain of the function. $g(x) = \frac{\sqrt{x-2}}{x-10}$ What is the domain of $g$ ? (Type your answer in interval notation.)

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Problem 27948

$x$ | $y$ ---|--- $-4$ | $19$ $-2$ | $16$ $0$ | $13$ $2$ | $10$ $4$ | $7$
Use the values in the table to determine the slope. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).

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Problem 27949

$\left(27a^{\frac{1}{2}}\right)^{\frac{2}{3}} =$

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Problem 27950

Given $A = \begin{pmatrix} 1 & 1 & 2 \\ 0 & 2 & 1 \\ 0 & 0 & 3 \end{pmatrix}$ . Find the eigen values and eigen vector for this matrix.

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Problem 27951

Unit 4 Lesson 12: Piecewise Functions Practice
Complete the rule for $g(x)$ so that the graph represents it. $g(x)$ \{ Pretend this bracket goes all the way down the left side ;) -10, $-15 \leq x<-10$ $\square$ $-10 \leq x<-8$ $-6$ $\square$ $5 x<-1$ $\square$ $-1 \leq x<1$
4. $\square$ $5 x<$ $\square$ 8 $10 \leq x<15$

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Problem 27952

$(4+i)(2-5 i)$

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Problem 27953

Solve the following logarithmic equation: $\log_{10}(3x) = 3$ $x = 30$ $x = 300$ $x = 33.33$ $x = 333.33$

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Problem 27954

32. Write $5(\cos 146^\circ + i\sin 146^\circ)$ in standard $a + bi$ form. Round to two decimal places.
A. $2.80 + 4.15i$ B. $-4.15 - 2.80i$ C. $-4.15 + 2.80i$ D. $-1.35 - 1.35i$

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Problem 27955

$\frac{a^{y}b - ab^{y}}{a^{r} - ab}$

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Problem 27956

$(f \circ g)(4) =$ $(g \circ f)(-4) =$ $(f \circ f)(-8) =$ $(g \circ g)(-5) =$

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Problem 27957

Draw
Show your work here slope = $y$ -intercept -

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Problem 27958

$y=\frac{6-x}{-x^{3}-9}$

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Problem 27959

$g(x) = \begin{cases} 2x+3, & x > 4 \\ -2x+3, & x \le 4 \end{cases}$
What is $g(7)$ if:
13 -13 17 -17

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Problem 27960

$f(x) = \frac{2x^2 + 2x}{x^2 - 2x - 3}$ What are the coordinates of the hole, if one exists. (-1, -2) (-1, $\frac{1}{2}$ ) there isn't one (-1, $-\frac{1}{2}$ )

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Problem 27961

If $A = \begin{bmatrix} b & 2 & -1 \\ 3 & 1 & -1 \\ -1 & 0 & 3 \end{bmatrix}$ and $\begin{bmatrix} 1 \\ \alpha \\ 1 \end{bmatrix}$ is an eigenvector of the matrix $A$ , then $b =$
Answer:

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Problem 27962

If $\vec{u}=\hat{i}-\hat{j}+2 \hat{k}$ and $\vec{v}=3 \hat{i}-\hat{j}+3 \hat{k}$ then $(\vec{u} \times \vec{v}) \cdot(\vec{u}-\vec{v})+\vec{u} \cdot \vec{v}$ equals

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Problem 27963

4) $-4(-4+x)>56$

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Problem 27964

What are all the rational zeros of $f(x)=x^{3}-3 x^{2}-40 x+84 ?$

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Problem 27965

If $A=\left[\begin{array}{lll}0 & 3 & 0 \\ 0 & 0 & b \\ 9 & 0 & 0\end{array}\right]$ then one of the following is an eigenvalue of $A$

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Problem 27966

If $A=\left[\begin{array}{lll}0 & 3 & 0 \\ 0 & 0 & b \\ 9 & 0 & 0\end{array}\right]$ then one of the following is an eigenvalue of $A$
Select one: $2 b$ $3 \sqrt[3]{b}$ $2 \sqrt{3 b}$ $3 b$

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Problem 27967

If $A = \begin{bmatrix} 0 & 3 & 0 \\ 0 & 0 & b \\ 9 & 0 & 0 \end{bmatrix}$ then one of the following is an eigenvalue of $A$
Select one: $2\sqrt{3b}$ $3\sqrt[3]{b}$ $3b$ $2b$

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Problem 27968

If $A = \begin{bmatrix} b & 2 & -1 \\ -1 & 3 & 1 \\ 0 & 1 & 2 \\ 3 & -1 & -1 \end{bmatrix}$ and $\begin{bmatrix} p \\ q \\ 1 \end{bmatrix}$ is an eigenvector of the matrix $A$ , then $b =$ Answer:

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Problem 27969

Q: If $\left|\begin{array}{ccc}1 & 1 & 5 \\ 6 & -1 & 2 \\ 3 & a & 3\end{array}\right|=2$ , then $\left|\begin{array}{ccc}1 & 2 b & 3 \\ 1 & -2 & n \\ 5 & 4 & 3\end{array}\right|=$ ?

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Problem 27970

Suppose that $\$7000$ is invested at an interest rate of $5.2\%$ compounded continuously. What is the doubling time?
$A = 7000e^{(0.052t)}$ $2 = e^{0.052t}$ $\ln(2) = 0.052t$ $t = \frac{\ln(2)}{0.052}$
$3 = (1.01)^{1125/4}$
Equation:

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Problem 27971

Question 16 (6 points) Solve the system by substitution. If there is no solution, just type "none".
$x + 5y = 14$ $5x - 4y = -17$

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Problem 27972

69) $3 x-4 y \geq-8$

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Problem 27973

$7-12 x \geqslant 25-3 x$

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Problem 27974

$\log_3(x+2) = 4$
Solve the equation. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution set is $\{\}$ . (Type an integer or a simplified fraction.)
B. There are infinitely many solutions.
C. There is no solution.

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Problem 27975

If $T: \mathbb{R}^{2} \rightarrow \mathbb{R}^{2}$ is a linear transformation such that $T\left(\left[\begin{array}{l} 1 \\ 0 \end{array}\right]\right)=\left[\begin{array}{c} -8 \\ 7 \end{array}\right], \quad T\left(\left[\begin{array}{l} 0 \\ 1 \end{array}\right]\right)=\left[\begin{array}{l} -10 \\ -10 \end{array}\right]$ then the standard matrix of $T$ is $A=\left[\begin{array}{cc} \boxed{-8} & -10 \\ \boxed{7} & \boxed{-10} \end{array}\right]$

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Problem 27976

Given the equation below, determine which type of conic section it represents, then write the equation in standard form. Your options are circle, hyperbola, ellipse, or parabola. $4547=y+644 x-23 x^{2}$

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Problem 27977

Factor $a^3 + v^3$ completely.

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Problem 27978

Find the slope of a line parallel and perpendicular to the line.
10. $3y = -4x - 24$ || slope = ⊥ slope =

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Problem 27979

Radicals
Square root multiplication: Advanced
Simplify. $3 \sqrt{24} \times \sqrt{72}$

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Problem 27980

14) $6x^2 - x - 1 = (\qquad)(\qquad)$ 16) $4x^2 - 12x + 9 = (\qquad)(\qquad)$ 18) $9x^2 - 4 = (\qquad)(\qquad)$ 20) $25x^2 - 1 = (\qquad)(\qquad)$

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Problem 27981

A gas has a temp of $14^{\circ} \mathrm{C}$ and a volume of 4.5 liters. If the temp is raised to $29^{\circ} \mathrm{C}$ and pressure is NOT changed, what is the now volume of the gas?

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Problem 27982

Solve for $x$ . $\left(2 x^{2}+22 x+24\right)^{\frac{1}{5}}=-2$
Write one solution in each box. You can add or remove boxes. If there are no solution remove all boxes.
$\square$ Submit

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Problem 27983

Knowledge Check Question 9 For each ordered pair $(x, y)$ , determine whether it is a solution to the inequality $4x - 6y \le -18$ . Is it a solution? $(x, y)$ Yes No $(0, 3)$ $(8, 5)$ $(-9, -2)$ $(-5, 1)$

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Problem 27984

Find an equation for the graph sketched below $f(x)=$ $6\left(\frac{1}{3}\right)^{x}$ $6(3)^{x}$ $2(3)^{x}$ $2\left(\frac{1}{3}\right)^{x}$

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Problem 27985

Solve for domain with an output of x: $(\ln{x})^2 + 5\ln{x} = 6$

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Problem 27986

Find the product: $b(b+6)$

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Problem 27987

$T(t) = 37 + (0.5t + 1)(0.82)^{0.5t + 1}$

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Problem 27988

Find the partial fraction decomposition of $\frac{-53x + 54}{12x^2 - 23x + 10}$ .
To set it up first write in the form $\frac{A}{3x - 2} + \frac{B}{4x - 5}$
$\frac{-53x + 54}{12x^2 - 23x + 10} = \frac{\text{ }}{\text{ }} + \frac{\text{ }}{\text{ }}$
Next Question

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Problem 27989

The price of 4 citrons and 7 fragrant wod apples is 54 unis. The price of 7 citrors and 4 fragant wood acples is 45 units. Find the price of a citun and fhe price of a subd aprie.
The price of a citron is $\square$ units.

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Problem 27990

Question Express in simplest radical form. $8\sqrt{5} + 10\sqrt{20}$

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Problem 27991

Part 2. Solve the following absolute value equations. Show all work and box your final answer. Remember to verify the solution types.
7. $2|\beta+5|=7$
10. $\frac{1}{3}|g+2|-4=g+1$

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Problem 27992

SUBMIT
Lila Koepke's savings account with $\$ 6625$ pays $5.3 \%$ interest compounded quarterly. If she makes no deposits or withdrawals, how much interest will the account earn in 2.5 years? [from Lesson 5.6]
How much money did they make in interest? \\square$ (round your answer to two decimal places and do not include the dollar sign in your answer)

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Problem 27993

10. (10 points) Given $f(x) = x^4 + 5x^3 - 3x^2 - 13x + 10$ , write $f(x)$ in factored form (as a product of linear factors).

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Problem 27994

On the set of axes, draw the graph of the equation $y = -\frac{3}{4}x + 3$ .

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Problem 27995

Question Express the following fraction in simplest form using only positive exponents $\frac{3(b^2)^3}{2b^5}$ Answer Attempt 1 out of 20

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Problem 27996

11. Two hikers begin hiking at the same time from different locations on a trail. The system of equations grouped on the grid represents this situation.
Distance From Start of Trail (mi) Hikers
Time (h)
Which value best represents the number of hours the two hikers have been hiking when they are the same distance from the start of the trail? A. 2.8 h

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Problem 27997

Which of the following have an inverse that is a function as well? $f(x) = 2x^3 + 4$ $f(x) = -x^2 - 5x + 4$ $f(x) = 2x$ $f(x) = 4$ $f(x) = \frac{-2}{x+2} - 5$ $f(x) = 2^x$

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Problem 27998

Given the function $f(x) = \begin{cases} \frac{x^2 - 9}{x - 3} & x \neq 3 \\ 9 & x = 3 \end{cases}$ Calculate the following values: $f(2) =$ $f(0) =$ $f(3) =$

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Problem 27999

$f(x) = -4x$ and $g(x) = \sqrt{x-4}$
1 of 2: Find the formula for $(f + g)(x)$ and simplify your answer. Then find the domain for $(f + g)(x)$ . Round your answer to two decimal places, if necessary.
$(f + g)(x) =$
Domain $=$

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Problem 28000

3. Jeremy's age is the sum of his four sons' ages. If his sons were born three years apart, and if Jeremy was 41 years old last year, how old was he when his oldest son was born?

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1 ...277 278 279 280 281 282 283 ...313

Algebra

Problem 27901

25x−10xy=25 x-10 x y=25x−10xy= □\square□ (Factor completely.)

Problem 27902

Problem 27903

Problem 27904

Question 6 of 10 Which choices are solutions to the following equation? Check all that apply. x2−5x=−94x^2 - 5x = -\frac{9}{4}x2−5x=−49​ A. x=2x = 2x=2 B. x=4.5x = 4.5x=4.5 C. x=0.5x = 0.5x=0.5 D. x=−1x = -1x=−1

Problem 27905

Question 7 of 10 What number must be added to the expression below to complete the square? x2+7xx^2 + 7xx2+7x A. 72\frac{7}{2}27​ B. 7 C. 49 D. 494\frac{49}{4}449​ SUBMIT

Problem 27906

Question 1 of 10 What is the discriminant of the polynomial below? 2x2+5x−82x^2 + 5x - 82x2+5x−8 A. 31 B. -59 C. 89 D. -39 SUBMIT

Problem 27907

Problem 27908

b) eln⁡3e^{\ln 3}eln3

Problem 27909

Question 7 of 10 A number written in the form a+bia + bia+bi is called a _______ number.A. complex B. quadratic C. linear D. discriminant SUBMIT

Problem 27910

Question 5 of 10 Using the graph as your guide, complete the following statement. The discriminant of the function is _______. A. zero B. positive C. negative

Problem 27911

Question 6 of 10 Which of the following graphs is described by the function given below? y=2x2+6x+3y = 2x^2 + 6x + 3y=2x2+6x+3 A. B. C. D. A. Graph A B. Graph B C. Graph C D. Graph D

Problem 27912

Practice 8 How much heat is evolved when 266 g of white phosphorus (P4P_4P4​) burns in air?P4(s)+5O2(g)undefinedΔP4O10(s)P_4(s) + 5O_2(g) \xrightarrow{\Delta} P_4O_{10}(s)P4​(s)+5O2​(g)Δ​P4​O10​(s) ΔH=−3013\Delta H = -3013ΔH=−3013 kJ

Problem 27913

Question 2 of 10 Which of the following expressions is equal to 2x2+182x^2 + 182x2+18? A. (2x−6)(x+3)(2x - 6)(x + 3)(2x−6)(x+3) B. (2x−9)(x+2)(2x - 9)(x + 2)(2x−9)(x+2) C. (2x−6)(x−3)(2x - 6)(x - 3)(2x−6)(x−3) D. (2x−9)(x−2)(2x - 9)(x - 2)(2x−9)(x−2) SUBMIT

Problem 27914

Question 5 of 10 How many solutions does the nonlinear system of equations graphed below have? A. One B. Zero C. Two D. Four

Problem 27915

Problem 27916

Problem 27917

Consider the following function. s(x)=−2x−4−1s(x)=-2 \sqrt{x}-4-1s(x)=−2x​−4−1Step 2 of 2: Determine the domain and range of the original function. Express your answer in interval notation.Answer 2 Points

Problem 27918

Problem 27919

D=1−2(2−1)+3(3−1)+7(7−1)+9(9−1)+4(4−1)+6(6−1)+1(1−1)+2(2−1)D = 1 - 2(2-1) + 3(3-1) + 7(7-1) + 9(9-1) + 4(4-1) + 6(6-1) + 1(1-1) + 2(2-1)D=1−2(2−1)+3(3−1)+7(7−1)+9(9−1)+4(4−1)+6(6−1)+1(1−1)+2(2−1)

Problem 27920

Problem 27921

Solve the system of linear equations using the Gauss-Jordan elimination method. x−2y=94x+3y=3(x,y)=()\begin{array}{r} x-2 y=9 \\ 4 x+3 y=3 \\ (x, y)=(\boxed{ }) \end{array}x−2y=94x+3y=3(x,y)=(​)​

Problem 27922

1. Determine algebraically where the intervals of the function are positive and negative. f(x)=2x4−2x3−32x2−40xf(x)=2 x^{4}-2 x^{3}-\sqrt{32} x^{2}-40 xf(x)=2x4−2x3−32​x2−40x

Problem 27923

M(t)=−8t2+48tM(t)=-8 t^{2}+48 tM(t)=−8t2+48tAnlgabe 1 Berechne dic Lanne des Produldebernszyklus2. Berechne den Gesantumsatz der eisten 3 Jahre

Problem 27924

Ex. 4 Graph 2x+3y<92 x+3 y<92x+3y<9

Problem 27925

Problem 27926

Question three: " 5 points"1. Solve the following linear congruence 140x≡56(mod252)140x \equiv 56 \pmod{252}140x≡56(mod252)2. How many incongruent solutions this equation have?

Problem 27927

Problem 27928

Problem 27929

If P16,000 earns P480 in 9 months, what is the annual rate of interest? 3% 2% 1% 4%

Problem 27930

Problem 27931

Problem 27932

Solve the equation for xxx. 4x−x2=164x4^{x-x^{2}}=\frac{1}{64^{x}}4x−x2=64x1​ smaller value x=\quad x=x= □\square□ larger value x=\quad x=x= □\square□

Problem 27933

9. (a) Is the ordered pair (73,−12)\left(\frac{7}{3}, -\frac{1}{2}\right)(37​,−21​) a solution of 3x−2y≤83x - 2y \le 83x−2y≤8?

Problem 27934

Problem 27935

A 1-kg mass and a 2-kg mass are placed as shown to the left of the beam's center. How far from the right of center should a 3-kg mass be placed to balance the beam? A. 10 cm B. 20 cm C. 30 cm D. 40 cm E. 50 cm F. 60 cm G. None of the above.

Problem 27936

Simplify the expression. Assume that the variable is unrestricted and use absolute value symbols when necessary. b2−4b+4\sqrt{b^2 - 4b + 4}b2−4b+4​

Problem 27937

Write in logarithmic form. 1256=4−4\frac{1}{256} = 4^{-4}2561​=4−4 The logarithmic form is \boxed{}​. (Use integers or fractions for any numbers in the expression.)

Problem 27938

Rewrite in simplest terms: 4(6d+9)−5(2d−10)4(6d + 9) - 5(2d - 10)4(6d+9)−5(2d−10)

Problem 27939

Which expression is equivalent to 2(t−4)+12(t-4)+12(t−4)+1 ? 2t−92 t-92t−9 2t−72 t-72t−7 2t−52 t-52t−5 2t−32 t-32t−3

Problem 27940

(c) 11−3x=411-\sqrt{3 x}=411−3x​=4

Problem 27941

Which of the following is a point on the graph of y=(12)zy=\left(\frac{1}{2}\right)^{z}y=(21​)z ? (0,0)(0,0)(0,0) (2,14)\left(2, \frac{1}{4}\right)(2,41​) (2,1)(2,1)(2,1) (0,12)\left(0, \frac{1}{2}\right)(0,21​)

Problem 27942

H3/(G3∗G4∗(1+G3∗G4∗H2))H_3 / (G_3 * G_4 * (1 + G_3 * G_4 * H_2))H3​/(G3​∗G4​∗(1+G3​∗G4​∗H2​))

Problem 27943

70⋅7x=7117^{0} \cdot 7^{x}=7^{11}70⋅7x=711

Problem 27944

Problem 27945

Problem 27946

Given f(x)=7x−10f(x)=7 x-10f(x)=7x−10, what is the value of f(−5)f(-5)f(−5) ? What is the value of f(0)f(0)f(0) ? Γ(−5)=\Gamma(-5)=Γ(−5)= \qquad f(0)=f(0)=f(0)= \qquad

Problem 27947

Find the domain of the function. g(x)=x−2x−10g(x) = \frac{\sqrt{x-2}}{x-10}g(x)=x−10x−2​​ What is the domain of ggg? (Type your answer in interval notation.)

$25 x-10 x y=$ $\square$ (Factor completely.)

Question 6 of 10 Which choices are solutions to the following equation? Check all that apply. $x^2 - 5x = -\frac{9}{4}$ A. $x = 2$ B. $x = 4.5$ C. $x = 0.5$ D. $x = -1$

Question 7 of 10 What number must be added to the expression below to complete the square? $x^2 + 7x$ A. $\frac{7}{2}$ B. 7 C. 49 D. $\frac{49}{4}$ SUBMIT

Question 1 of 10 What is the discriminant of the polynomial below? $2x^2 + 5x - 8$ A. 31 B. -59 C. 89 D. -39 SUBMIT

b) $e^{\ln 3}$

Question 7 of 10 A number written in the form $a + bi$ is called a _______ number.
A. complex B. quadratic C. linear D. discriminant SUBMIT

Question 6 of 10 Which of the following graphs is described by the function given below? $y = 2x^2 + 6x + 3$ A. B. C. D. A. Graph A B. Graph B C. Graph C D. Graph D

Practice 8 How much heat is evolved when 266 g of white phosphorus ( $P_4$ ) burns in air?
$P_4(s) + 5O_2(g) \xrightarrow{\Delta} P_4O_{10}(s)$ $\Delta H = -3013$ kJ

Question 2 of 10 Which of the following expressions is equal to $2x^2 + 18$ ? A. $(2x - 6)(x + 3)$ B. $(2x - 9)(x + 2)$ C. $(2x - 6)(x - 3)$ D. $(2x - 9)(x - 2)$ SUBMIT

Consider the following function. $s(x)=-2 \sqrt{x}-4-1$
Step 2 of 2: Determine the domain and range of the original function. Express your answer in interval notation.
Answer 2 Points

$D = 1 - 2(2-1) + 3(3-1) + 7(7-1) + 9(9-1) + 4(4-1) + 6(6-1) + 1(1-1) + 2(2-1)$

Solve the system of linear equations using the Gauss-Jordan elimination method. $\begin{array}{r} x-2 y=9 \\ 4 x+3 y=3 \\ (x, y)=(\boxed{ }) \end{array}$

1. Determine algebraically where the intervals of the function are positive and negative. $f(x)=2 x^{4}-2 x^{3}-\sqrt{32} x^{2}-40 x$

$M(t)=-8 t^{2}+48 t$
Anlgabe 1 Berechne dic Lanne des Produldebernszyklus
2. Berechne den Gesantumsatz der eisten 3 Jahre

Ex. 4 Graph $2 x+3 y<9$

Question three: " 5 points"
1. Solve the following linear congruence $140x \equiv 56 \pmod{252}$
2. How many incongruent solutions this equation have?

Solve the equation for $x$ . $4^{x-x^{2}}=\frac{1}{64^{x}}$ smaller value $\quad x=$ $\square$ larger value $\quad x=$ $\square$

9. (a) Is the ordered pair $\left(\frac{7}{3}, -\frac{1}{2}\right)$ a solution of $3x - 2y \le 8$ ?

Simplify the expression. Assume that the variable is unrestricted and use absolute value symbols when necessary. $\sqrt{b^2 - 4b + 4}$

Write in logarithmic form. $\frac{1}{256} = 4^{-4}$ The logarithmic form is $\boxed{}$ . (Use integers or fractions for any numbers in the expression.)

Rewrite in simplest terms: $4(6d + 9) - 5(2d - 10)$

Which expression is equivalent to $2(t-4)+1$ ? $2 t-9$ $2 t-7$ $2 t-5$ $2 t-3$

(c) $11-\sqrt{3 x}=4$

Which of the following is a point on the graph of $y=\left(\frac{1}{2}\right)^{z}$ ? $(0,0)$ $\left(2, \frac{1}{4}\right)$ $(2,1)$ $\left(0, \frac{1}{2}\right)$

$H_3 / (G_3 * G_4 * (1 + G_3 * G_4 * H_2))$

$7^{0} \cdot 7^{x}=7^{11}$

Given $f(x)=7 x-10$ , what is the value of $f(-5)$ ? What is the value of $f(0)$ ? $\Gamma(-5)=$ $\qquad$ $f(0)=$ $\qquad$

Find the domain of the function. $g(x) = \frac{\sqrt{x-2}}{x-10}$ What is the domain of $g$ ? (Type your answer in interval notation.)

$x$ | $y$ ---|--- $-4$ | $19$ $-2$ | $16$ $0$ | $13$ $2$ | $10$ $4$ | $7$
Use the values in the table to determine the slope. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).

$\left(27a^{\frac{1}{2}}\right)^{\frac{2}{3}} =$

Given $A = \begin{pmatrix} 1 & 1 & 2 \\ 0 & 2 & 1 \\ 0 & 0 & 3 \end{pmatrix}$ . Find the eigen values and eigen vector for this matrix.

$(4+i)(2-5 i)$

Solve the following logarithmic equation: $\log_{10}(3x) = 3$ $x = 30$ $x = 300$ $x = 33.33$ $x = 333.33$

$\frac{a^{y}b - ab^{y}}{a^{r} - ab}$

$(f \circ g)(4) =$ $(g \circ f)(-4) =$ $(f \circ f)(-8) =$ $(g \circ g)(-5) =$

Draw
Show your work here slope = $y$ -intercept -

$y=\frac{6-x}{-x^{3}-9}$

$g(x) = \begin{cases} 2x+3, & x > 4 \\ -2x+3, & x \le 4 \end{cases}$
What is $g(7)$ if:
13 -13 17 -17

$f(x) = \frac{2x^2 + 2x}{x^2 - 2x - 3}$ What are the coordinates of the hole, if one exists. (-1, -2) (-1, $\frac{1}{2}$ ) there isn't one (-1, $-\frac{1}{2}$ )

If $A = \begin{bmatrix} b & 2 & -1 \\ 3 & 1 & -1 \\ -1 & 0 & 3 \end{bmatrix}$ and $\begin{bmatrix} 1 \\ \alpha \\ 1 \end{bmatrix}$ is an eigenvector of the matrix $A$ , then $b =$
Answer:

If $\vec{u}=\hat{i}-\hat{j}+2 \hat{k}$ and $\vec{v}=3 \hat{i}-\hat{j}+3 \hat{k}$ then $(\vec{u} \times \vec{v}) \cdot(\vec{u}-\vec{v})+\vec{u} \cdot \vec{v}$ equals

4) $-4(-4+x)>56$

What are all the rational zeros of $f(x)=x^{3}-3 x^{2}-40 x+84 ?$

If $A=\left[\begin{array}{lll}0 & 3 & 0 \\ 0 & 0 & b \\ 9 & 0 & 0\end{array}\right]$ then one of the following is an eigenvalue of $A$

If $A=\left[\begin{array}{lll}0 & 3 & 0 \\ 0 & 0 & b \\ 9 & 0 & 0\end{array}\right]$ then one of the following is an eigenvalue of $A$
Select one: $2 b$ $3 \sqrt[3]{b}$ $2 \sqrt{3 b}$ $3 b$

If $A = \begin{bmatrix} 0 & 3 & 0 \\ 0 & 0 & b \\ 9 & 0 & 0 \end{bmatrix}$ then one of the following is an eigenvalue of $A$
Select one: $2\sqrt{3b}$ $3\sqrt[3]{b}$ $3b$ $2b$

Q: If $\left|\begin{array}{ccc}1 & 1 & 5 \\ 6 & -1 & 2 \\ 3 & a & 3\end{array}\right|=2$ , then $\left|\begin{array}{ccc}1 & 2 b & 3 \\ 1 & -2 & n \\ 5 & 4 & 3\end{array}\right|=$ ?

Question 16 (6 points) Solve the system by substitution. If there is no solution, just type "none".
$x + 5y = 14$ $5x - 4y = -17$

69) $3 x-4 y \geq-8$

$7-12 x \geqslant 25-3 x$