Algebra

Problem 2601

4. Let's say you invest an amount now and leave it in the bank for 50 years.
WOULD YOU RATHER... - OPTION A - Invest \2000now,interestrateof2000 now, interest rate of 4 \%$ compounded annually

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Problem 2602

Question Watch V
Express as a trinomial. (3x3)(3x5)(3 x-3)(3 x-5)
Answer Attempt i out of 2 \square Submit Answ

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Problem 2603

Question Wat
Express as a trinomial. (x+10)(3x+8)(x+10)(3 x+8)
Answer Attempt 1 out of 2 \square Submit

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Problem 2604

Question
Express as a trinomial. (x+7)(3x+1)(x+7)(3 x+1)
Answer Attempt 1 out of 2

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Problem 2605

(4) [5 points] If an object's speed increases by a factor of 10 , its kinetic energy increases by a factor of 0105k=12mv2 y 1000v=10v0k=12m(10v)2=100(12mv2)K=100k\begin{array}{ll} \begin{array}{ll} 0 & 10 \\ 5 & k=\frac{1}{2} m v^{2} \\ \text { y } 100 & \\ 0 & v^{\prime}=10 v \\ 0 & k^{\prime}=\frac{1}{2} m(10 v)^{2}=100\left(\frac{1}{2} m v^{2}\right) \\ & \\ & K^{\prime}=100 k \end{array} \end{array}

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Problem 2606

Question
Express as a trinomial. (x+10)(2x+6)(x+10)(2 x+6)

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Problem 2607

What is the domain of y=log5xy=\log _{5} x ? all real numbers less than 0 all real numbers greater than 0 all real numbers not equal to 0 all real numbers

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Problem 2608

Use Descartes' Rule to determine the possible number of positive and negative real zeros. Then graph to confirm which of those possibilities is the actual combination.  Use Descartes’ Rule to determine the possible  number of positive and negative real zeros. Then  graph to confirm which of those possibilities is the  actual combination. f(x)=x32x2+x1 The number of possible positive real zeros is  (check all that apply) 0.12 The number of possible negative real zeros is  (check all that apply) 0.1008\begin{array}{l} \text { Use Descartes' Rule to determine the possible } \\ \text { number of positive and negative real zeros. Then } \\ \text { graph to confirm which of those possibilities is the } \\ \text { actual combination. } \\ f(x)=x^{3}-2 x^{2}+x-1 \\ \text { The number of possible positive real zeros is } \\ \text { (check all that apply) } 0.1 \square 2 \text {. } \\ \text { The number of possible negative real zeros is } \\ \text { (check all that apply) } 0.100^{8} \text {. } \end{array}
The number of possible positive real zeros is (check all that apply) \square 0 1 \square 2 \square 3 \square 8.
The number of possible negative real zeros is (check all that apply) \qquad 0 \qquad 1 2 3 o8o^{8} . .  Use Descartes’ Rule to determine the possible  number of positive and negative real zeros. Then  graph to confirm which of those possibilities is the  actual combination. f(x)=x32x2+x1 The number of possible positive real zeros is  (check all that apply) 0123 The number of possible negative real zeros is  (check all that apply) 0.102\begin{array}{l} \begin{array}{l} \text { Use Descartes' Rule to determine the possible } \\ \text { number of positive and negative real zeros. Then } \\ \text { graph to confirm which of those possibilities is the } \\ \text { actual combination. } \\ f(x)=x^{3}-2 x^{2}+x-1 \\ \text { The number of possible positive real zeros is } \\ \text { (check all that apply) } 0 \checkmark 1 \square 2 \square 3 \text {. } \\ \text { The number of possible negative real zeros is } \\ \text { (check all that apply) } 0.102 \text {. } \end{array} \end{array} \qquad \qquad Part 2  Part 2\text { Part } 2 \qquad \qquad \qquad - \square . \qquad

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Problem 2609

Question Factor the expression completely. x2y+y2x^{2} y+y^{2}

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Problem 2610

Grephy and Fynetion Application problem with a inear function: Finding a coordinate given th... Martavius Espaniol
Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel (in gallons) in its tank. When graphed, the function gives a line with a slope of 6.1. See the figure below.
With 54 gallons of fuel in its tank, the airplane has a weight of 2429.4 pounds. What is the weight of the plane with 25 gallons of fuel in its tank? \square Explanation Check Q 2024 MeGraw Hill LLC. All Rights Reserved. Terms of Use I Privacy Center Accessibility

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Problem 2611

Question Watch Vided
Express the product (35)(3+5)(\sqrt{3}-5)(\sqrt{3}+5) in simplest form.
Answer Attempt 1 out of 2 \square Submit Answer \sqrt{ }

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Problem 2612

Complete: 56\%
Question Watch Video Show
Express the product (7+2)(72)(\sqrt{7}+\sqrt{2})(\sqrt{7}-\sqrt{2}) in simplest form.
Level 2) (Level 1) ninators \square \sqrt{ } Submit Answer
Log Out

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Problem 2613

Construct a polynomial function of least degree possible using the given information.
Real roots: 5,5-5,5 (with multiplicity 2 and 1 ) and (1,f(1))=(1,2)(1, f(1))=(1,2) f(x)=f(x)= \square

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Problem 2614

Question Watcl
Express as a fraction in simplest form with a rational denominator: 15+6\frac{1}{5+\sqrt{6}}
Answer Attempt 1 out of 2 \square Submit A

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Problem 2615

Question Wate
Factor the expression completely. x2y3+y4x^{2} y^{3}+y^{4}
Answer

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Problem 2616

Question Wexth Vides Srow Elample
Express as a fraction in simplest form with a rational denominator: 71017\frac{7}{-10-\sqrt{17}}
Answer Amametrant ofiz \square Siltritalus

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Problem 2617

Find the domain of the rational function. f(x)=x216x27x+10f(x)=\frac{x^{2}-16}{x^{2}-7 x+10}
The domain of the function is all real numbers except x=x= \square (separate answers with commas, if necessary)

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Problem 2618

Question Watch Video
Express as a fraction in simplest form with a rational denominator: 176\frac{1}{-7-\sqrt{6}}
Answer Attempt 1 out of 2 \square Submit Answer

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Problem 2619

he expression completely. xy+x4y5x y+x^{4} y^{5}

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Problem 2620

62v22+32v\frac{6}{2 v^{2}-2}+\frac{3}{2 v}

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Problem 2621

Find the xx - and yy-intercepts for the function. f(x)=923x24x264f(x)=\frac{92-3 x^{2}}{4 x^{2}-64}
The xx-intercept(s) is (are) \square The yy-intercept is \square (Enter ordered pairs for each, separated by commas if necessary If no such intercept exists, enter DNE.)

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Problem 2622

Few More! Simplify the following radicals. \begin{tabular}{|c|l|l|} \hline Radical & \multicolumn{1}{|c|}{ Answer } & \multirow{2}{*}{ Result } \\ \hline8\sqrt{8} & 圁 \\ \hline18\sqrt{18} & \\ \hline40\sqrt{40} & \\ \hline48\sqrt{48} & & \\ \hline108\sqrt{108} & & \\ \hline125\sqrt{125} & & \\ \hline & & \\ \hline \end{tabular}
Try It

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Problem 2623

A grocery store sells sliced pastrami by weight. The relationship between the amount of pastrami in pounds, xx, and the total cost in dollars of the sliced pastrami, yy, is represented by the graph below.
Two points, C and A , are labeled. Which statement about the graph is true?
Answer Point A means that the unit rate is $6.00\$ 6.00 per pound Point A means that the unit rate is 6 pounds per dollar Point C means that the unit rate is 6 pounds per dollar Point CC means that the unit rate is $36.00\$ 36.00 per pound

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Problem 2624

3a5(4b7)3 a^{5}\left(4 b^{7}\right)

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Problem 2625

Find the product Simplify your answer. 2jj(4j4j+3)2 j^{j}(-4 j-4 j+3)

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Problem 2626

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A small town has two local high schools. High School A currently has 300 students and is projected to grow by 50 students each year. High School B currently has 450 students and is projected to grow by 25 students each year. Let AA represent the number of students in High School AA in tt years, and let BB represent the number of students in High School B after tt years. Graph each function and determine which high school is projected to have more students in 8 years.

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Problem 2627

385\frac{3}{-8-\sqrt{5}}

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Problem 2628

Find the slant asymptote of the function. f(x)=12x3+4x29x84x23f(x)=\frac{12 x^{3}+4 x^{2}-9 x-8}{4 x^{2}-3}
The slant asymptote is at y=y= \square

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Problem 2629

Find the xx-intercepts, the yy-intercept, the vertical asymptotes, and the horizontal or slant asymptot of the function. Use that information to sketch a graph. Separate answers by commas, if necessary a(x)=x23x+2x21a(x)=\frac{x^{2}-3 x+2}{x^{2}-1}
The function has xx-intercept(s) at \square and yy-intercept at \square (Enter an ordered pair or a list of ordered pairs for each answer.)
The function has vertical asymptote(s) at x=x= \square The function has a Select an answer ^\hat{\approx} asymptote at y=y= \square

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Problem 2630

A company orders boxed lunches from a deli, which all cost the same price. The relationship between the number of boxed lunches ordered, xx, and the total cost in dollars of the lunches, yy, is represented by the graph below.
What does the ordered pair ( 3,36 ) indicate?
Answer 3 lunches that cost a total of $36.00\$ 36.00 3 tunches that cost $36.00\$ 36.00 each 36 lunches that cost $3.00\$ 3.00 each 36 lunches that cost a total of $3.00\$ 3.00

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Problem 2631

Describe the end behavior of a 14th 14^{\text {th }} degree polynomial with a positive leading coefficient.
Describe the end behavior of a 9th 9^{\text {th }} degree polynomial with a negative leading coefficient.

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Problem 2632

arning Goals Long and Synthetic (Polynomial) Division - I can use long division and synthetic division to divide polynomials. long division to divide the following polynomials. (30x365x2+20x+30)÷(10x+5)\left(30 x^{3}-65 x^{2}+20 x+30\right) \div(10 x+5)
2. 90x315x2110x4010x+5\frac{90 x^{3}-15 x^{2}-110 x-40}{10 x+5}

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Problem 2633

List the variable parts in the following expression in the order they appear. 13xy+9y2+5113 x y+9 y^{2}+51 \square

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Problem 2634

2x25x12 2x^{2} - 5x - 12

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Problem 2635

This module will help you understand how and where a polynomial's integer roots are "hiding."
Consider the following cubic in factored form, (x+11)(x+2)(x+3)(x+11)(x+2)(x+3). What are its roots? Use commas to separate.

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Problem 2636

Factor the expression completely. x4y3xy2x^{4} y^{3}-x y^{2}

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Problem 2637

Show Examples
Using the integer root theorem, list out all possible/candidate intege roots of f(x)=48+5x2x329x2f(x)=48+5 x-2 x^{3}-29 x^{2}. Use commas to separate.

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Problem 2638

7. What is the difference (4x212x+6)(10+3x2x2)\left(4 x^{2}-12 x+6\right)-\left(10+3 x-2 x^{2}\right) ?

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Problem 2639

92x=359-2 x=35

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Problem 2640

Find the intercepts of the equation. x+2y=6x+2 y=6
X-intercept (Blank 1, Blank 2) y-intercept (Blank 3, Blank 4)

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Problem 2641

5x10=10-5 x-10=10

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Problem 2642

8=x+112-8=\frac{x+11}{-2}

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Problem 2643

Write the following as a radical expression. v58v^{\frac{5}{8}}

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Problem 2644

What are the leading coefficient and degree of the polynomial? 233w418w+8w6-23-3 w^{4}-18 w+8 w^{6}

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Problem 2645

12x17=89-12 x-17=-89

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Problem 2646

Solve the exponential equation. 4(1.19)x+2=154(1.19)^{x}+2=15
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is x=x= \square (Do not round until the final answer. Then round to four decimal places as needed. Use a comma to separate answers as needed.) B. There is no solution.

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Problem 2647

5x=125-x=12

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Problem 2648

8. A car travels 252 miles in 4 hours. Assuming that the distance the car travels varies directly with the time, how far will the car travel in 6 hours?

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Problem 2649

Give the degree of the polynomial. 7+w7v+5x11+12v2x3w5-7+w^{7} v+5 x^{11}+12 v^{2} x^{3} w^{5}

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Problem 2650

Simplify. (w2+7w4)(5w2+3w+2)\left(-w^{2}+7 w-4\right)-\left(5 w^{2}+3 w+2\right)

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Problem 2651

7+13x+2x+8-7+13 x+2 x+8

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Problem 2652

(2x26x+6)+(7x2+9x4)(5x29x+6)\left(-2 x^{2}-6 x+6\right)+\left(-7 x^{2}+9 x-4\right)-\left(-5 x^{2}-9 x+6\right)

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Problem 2653

29+7y25y2 \quad 9+7 y-2-5 y

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Problem 2654

Use a graphing calculator to find the coordinates of the turning points of the graph of the polynomial function in the given domain interval. Give answers to the nearest hundredth. f(x)=x46x3+17x2+7x22,[1,0]f(x)=x^{4}-6 x^{3}+17 x^{2}+7 x-22,[-1,0]
The turning point(s) is(are) \square (Type an ordered pair. Use a comma to separate answers as needed. Use integers or decimal rounded to the nearest hundredth for any numbers in the expression.)

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Problem 2655

(7x26x3y2+x3)(5x3y2+2x3)\left(7 x^{2}-6 x^{3} y^{2}+x^{3}\right)-\left(-5 x^{3} y^{2}+2 x^{3}\right)

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Problem 2656

Solve the logarithmic equation. lnx+lnx2=4\ln x+\ln x^{2}=4
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is x=x= \square . (Round to the nearest thousandth as needed. Use a comma to separate answers as needed.) B. There is no solution.

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Problem 2657

Use a graphing calculator to find the coordinates of the turning points of the graph of the polynomial function in the given domain interval. Give answers to the nearest hundredth. f(x)=x43x3+16x2+5x21,[1,0]f(x)=x^{4}-3 x^{3}+16 x^{2}+5 x-21,[-1,0]
The turning point(s) is(are) \square (Type an ordered pair. Use a comma to separate answers as needed. Use integers or decimal rounded to the nearest hundredth for any numbers in the expression.)

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Problem 2658

Exercice 5: Soit f:RRf: \mathbb{R} \rightarrow \mathbb{R} définie par: f(x)=xx2+1f(x)=\frac{x}{x^{2}+1}.
1. Calculer f(2),f(12)f(2), f\left(\frac{1}{2}\right). f est-elle injective?
2. Résoudre dans R\mathbb{R} l'équation f(x)2=0f(x)-2=0. f est-elle surjective?
3. Déterminer f(R)f(\mathbb{R}). (Indication : utiliser (x+1)20(x+1)^{2} \geq 0 et (x1)20)\left.(x-1)^{2} \geq 0\right).

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Problem 2659

Translate to a system of equations and solve the system.
Three times a number plus three times a second number is fifteen. Four times the first plus twice the second number is fourteen. Find the numbers.

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Problem 2660

4x66x204 x-6 \geq 6 x-20

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Problem 2661

3b39=783 b-39=-78

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Problem 2662

6x+2(x+4)6 x+2(x+4)

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Problem 2663

12=56+14a-\frac{1}{2}=-\frac{5}{6}+\frac{1}{4} a

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Problem 2664

Oliver earns $12\$ 12 per hour doing extra lawn chores for his neighbor. They also pay him $40\$ 40 each month for cutting the grass. Which equation could be used to graph Oliver's earnings for the month? y=2x+12y=2 x+12 y=56xy=56 x y=40x+12y=40 x+12 y=12x+40y=12 x+40

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Problem 2665

Rewrite without parenthes 3u5(8u29u+6)-3 u^{5}\left(8 u^{2}-9 u+6\right)

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Problem 2666

The function gg is given by g(x)=42(3+x)g(x)=4 \cdot 2^{(3+x)}. The function gg can also be expressed as which of the following? (A) 32+2x32+2^{x} (B) 322x32 \cdot 2^{x} (C) 32+8x32+8^{x} (D) 5128x512 \cdot 8^{x}

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Problem 2667

13=16x+34\frac{1}{3}=\frac{1}{6} x+\frac{3}{4}

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Problem 2668

2 C A تصريف تعتبر الدالة لا المعرفة عين اُن + 3 + 2 fax على المجال [4] لا تقبل دالة عكسية معرفق على المجال 8 يتم تحديده 2- حدد صدفة الحالة العكسية A لا على 8

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Problem 2669

Make yy the subject of the formula c=w4ay3c=w-4 a y^{3}

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Problem 2670

Multiply. (x+2)(x3)(x+2)(x-3)

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Problem 2671

14x9=10x+314 x-9=10 x+3

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Problem 2672

Question Show Examples
A group of friends wants to go to the amusement park. They have no more than $425\$ 425 to spend on parking and admission. Parking is $14.75\$ 14.75, and tickets cost $18.75\$ 18.75 per person, including tax. Which inequality can be used to determine xx, the maximum number of people who can go to the amusement park?
Answer 42518.75(x+14.75)425 \leq 18.75(x+14.75) Submit Answer 42514.75+18.75x425 \geq 14.75+18.75 x 42514.75+18.75x425 \leq 14.75+18.75 x 42518.75(x+14.75)425 \geq 18.75(x+14.75)

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Problem 2673

In this pyramid, the value of the top brick is found by adding the values of the two bottom bricks.
What expression should replace the question mark? Simplify your answer fully.

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Problem 2674

4x8=4x+4x - 8 = 4x +

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Problem 2675

Assignment Constrict quadratic equation whose roots are 2,3-2,-3 Sum and product of roots are 1.5 and -1.2

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Problem 2676

Find the xx - and yy-intercepts of the rational function. (If an answer does not exist, enter DNE.) r(x)=x5x+6x-intercept (x,y)=()y-intercept (x,y)=()\begin{array}{c} r(x)=\frac{x-5}{x+6} \\ x \text {-intercept } \quad(x, y)=(\square) \\ y \text {-intercept } \quad(x, y)=(\square) \end{array} Need Help? Read It Watch It Master It Submit Answer
5. [-/3 Points]

DETAILS MY NOTES
SPRECALC7 3.6.023.MI.
Find the xx - and yy-intercepts of the rational function. (If an answer does not exist, enter DNE.) t(x)=x22x24x9x-intercept (x,y)=() (smaller x-value) x-intercept (x,y)=()y-intercept (x,y)=()\begin{array}{ll} \qquad t(x)= & \frac{x^{2}-2 x-24}{x-9} \\ x \text {-intercept } & (x, y)=(\square) \quad \text { (smaller } x \text {-value) } \\ x \text {-intercept } & (x, y)=(\square) \\ y \text {-intercept } & (x, y)=(\square) \end{array}

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Problem 2677

Determine whether the solution of each equation below is the same as the solution of 2b+5b=282 b+5 b=28. Select Yes or No for each equation. 14b=1-\frac{1}{4} b=-1 Yes No 12b+33b+5=4412 b+3-3 b+5=44 Yes No 5b+4=3b45 b+4=3 b-4 Yes No 2(3b+4.8)=14.4-2(-3 b+4.8)=14.4 Yes No

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Problem 2678

JAYDEN
Bode and Grace solve the equation 1.2=6(40.4g)4.81.2=6(4-0.4 g)-4.8 for gg in different ways. Bode begins solving by dividing both sides of the equation by 6 and then adding 4.8 to both sides. Grace begins solving by adding 4.8 to both sides of the equation and then dividing both sides by 6 . Whose strategy is best? Why? Grace's strategy is best because adding 4.8 to both sides of the equation means that the left side will simplify to the whole number 5 . Grace's strategy is best because first adding 4.8 then dividing by 6 will solve the equation in the fewest number of steps. Bode's strategy is best because adding 4.8 after dividing by 6 will eliminate a term on the right side of the equation. Bode's strategy is best because first dividing by 6 then adding 4.8 will solve the equation in the fewest number of steps.

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Problem 2679

Given g(x)=5x+1g(x)=-5 x+1, find g(3)g(3).
Answer Attempt 1 out of 2

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Problem 2680

Graph the equation. y=6x3y=6|x-3|

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Problem 2681

The function below has at least one rational root. Find the yy-intercept and use the rational roots theorem to find all rational roots. Fill in the sign table and sketch a graph below. Your graph must accurately cross all known intercepts. f(x)=2x44x38x2+4x+6f(x)=2 x^{4}-4 x^{3}-8 x^{2}+4 x+6
Identify the yy-intercept of the function. 66
Identify all real roots. Use commas to separate. \square Next

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Problem 2682

Describe how the graphs of f(x)f(x) and g(x)g(x) are related.
13. f(x)=xf(x)=x and g(x)=x+6g(x)=x+6
14. f(x)=x2f(x)=x^{2} and g(x)=34x2g(x)=\frac{3}{4} x^{2}

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Problem 2683

Given g(x)=4x5g(x)=4 x-5, find g(3)g(3).
Answer Attempt 1 out of 2

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Problem 2684

Find all horizontal and vertical asymptotes (if any). (If an answer does not exist, enter DNE.) s(x)=4x2+12x2+9x5s(x)=\frac{4 x^{2}+1}{2 x^{2}+9 x-5} vertical asymptote x=x= \square (smaller value) vertical asymptote x=x= \square (larger value) horizontal asymptote \square

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Problem 2685

Glven that the domain of a one-to-one function ff is [1,)[1, \infty) and the range of ff is [0,6][0,6], state the domain and range of ff

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Problem 2686

math/algebra-1/write-a-linear-inequality-from-a-graph
This is the graph of a linear inequality. Write the inequality in slope-intercept form.
Write your answer with y first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form. \square

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Problem 2687

Learn with an example Watch a video
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. A company that teaches self-improvement seminars is holding one of its seminars in Greenwood. The company pays a flat fee of $95\$ 95 to rent a facility in which to hold each session. Additionally, for every attendee who registers, the company must spend $11\$ 11 to purchase books and supplies. Each attendee will pay $12\$ 12 for the seminar. Once a certain number of attendee register, the company will be breaking even. How many attendees will that take? What will be the company's total expenses and revenues?
Once \square attendees have registered, the company's expenses and receipts will both total \ \square$ Submit

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Problem 2688

i-Ready JAYDEN
Which statement describes the solution to the equation a+5(2a1)+3=11a2a+5(2 a-1)+3=11 a-2 ? The equation has no solution. The equation has exactly one solution, a=211a=\frac{2}{11}. The equation has exactly one solution, a=4a=-4. The equation has infinitely many solutions.

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Problem 2689

2 C A تصريف تعتبر الدالة لا المعرفة عين اُن + 3 + 2 fax على المجال [4] لا تقبل دالة عكسية معرفق على المجال 8 يتم تحديده 2- حدد صدفة الحالة العكسية A لا على 8

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Problem 2690

x24x45=6x^{2}-4 x-45=6

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Problem 2691

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Oscar and Roger started out at their houses and are biking towards each other. Oscar started out first, and has already gone 4 kilometers. He bikes at a constant speed of 4 kilometers per hour. Roger just left, and rides at 6 kilometers per hour. When the boys meet halfway between their houses, they will continue to the park together. How far will each boy have ridden? How long will that take?
Oscar and Roger will have each biked \square kilometers in \square hours.

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Problem 2692

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
A daycare center in Princeton currently has 9 assistant caregivers and 7 senior caregivers. Since demand is high, the owner is going to be hiring 2 assistant caregivers per month and 3 senior caregivers per month. Her goal is to have a larger staff, including an equal number of assistant caregivers and senior caregivers. How long will that take? How many of each type will there be?
After \square months, there will be \square of each type of caregiver.
Submit

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Problem 2693

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
When Dave does 8 push-ups and 5 sit-ups, it takes a total of 23 seconds. In comparison, he needs 68 seconds to do 20 push-ups and 16 sit-ups. How long does it take Dave to do each kind of exercise?
It takes Dave \square seconds to do a push-up and \square seconds to do a sit-up. Submit

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Problem 2694

Use the One-to-One Property to solve the equation for xx. (14)x=16\left(\frac{1}{4}\right)^{x}=16 x=x= \square 2-2 Amazing job!

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Problem 2695

5+9(1+2)25+9(1+2)^{2}

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Problem 2696

Sketch the transformation from y=1xy=\frac{1}{x}. State the general transformation, asymptotes and new points (include original graph). a) y=3x+2y=\frac{3}{x+2} b) y=1x3y=\frac{1}{x}-3 c) y=2x+1y=\frac{2}{x}+1 d) y=1x3y=\frac{1}{x-3}

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Problem 2697

3. At the end of yesterday's soccer game between Team Why and Team Zed, Team Why had scored 3 goals and Team Zed had scored 2 goals. At half-time of the game, Team Why had scored yy goals and Team Zed had scored zz goals. If y0y \geq 0 and z0z \geq 0, how many possibilities are there for the ordered pair of integers (y,z)(y, z) ? (In soccer, each team's score is always a non-negative integer that never decreases as the game proceeds.)

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Problem 2698

What system of equations does the graph show?
Write the equations in slope-intercept form. Simplify any fractions. y=y= \square

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Problem 2699

5) /9(4v9)+2v/ 9(4 v-9)+2 v

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Problem 2700

Simplify. Express your answer as a single fraction in simplest form. 4t4+85+5\frac{4}{t^{4}}+85+5

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