Quadratics

Problem 701

Question 2 of 10 What are the zeros of this function? A. $x=0$ and $x=-6$ B. $x=0$ and $x=-9$ C. $x=3$ and $x=-9$ D. $x=0$ and $x=6$

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Problem 702

Solve. $16 x^{4}+47 x^{2}=3$

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Problem 703

The speed of a car traveling on a highway is being recorded once per second for two minutes. During this time interval, the car gradually speeds up slightly to pass another vehicle, then the car returns to its original speed. The recorded speed of the car with respect to time can be modeled by linear, quadratic, and exponential functions. For each of the three models, their residuals are small and are without pattern. Which of the following conclusions is best? (A) A linear model is best based on contextual clues. (B) A quadratic model is best based on contextual clues. (C) An exponential model is best based on contextual clues. (D) Contextual clues fail to help in selecting a model for this contextual situation.

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Problem 704

Put the quadratic into vertex form and state the coordinates of the vertex. $y=x^{2}-6 x+21$

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Problem 705

$11 y^{2}-25=$

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Problem 706

The plot of what function appears below? $f(x)=x^{2}$ $f(x)=-(x-1)^{2}$ $f(x)=-x^{2}+1$ $f(x)=-(x+1)^{2}$ $f(x)=(x-1)^{2}$

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Problem 707

Solve the equation using factoring or the quadratic formula, whichever is appropriate. Answer in lowest terms. $-4 y+9=-4 y^{2}$ $\square$ $\pm$ $\square$ $i$ $\square$

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Problem 708

Determine the intervals over which the function $d(x) = -x^2 + 2x - 1$ is decreasing.

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Problem 709

Solve the equation using factoring or the quadratic formula, whichever is appropriate. $\begin{array}{l} 100 a^{2}+1200 a+3600=0 \\ a= \end{array}$

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Problem 710

Find the discriminant and then determine how many of each types of solutions there are. $9 x^{2}+21 x+10=0$
Discriminant: $\square$ How many rational solutions are there? $\square$ How many irrational solutions are there? $\square$ How many imaginary solutions are there? $\square$

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Problem 711

Find the discriminant and then determine how many of each types of solutions there are. $9 y^{2}+24 y+16=0$
Discriminant: $\square$ How many rational solutions are there? $\square$ How many irrational solutions are there? $\square$ How many imaginary solutions are there? $\square$

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Problem 712

Find the discriminant and then determine how many of each types of solutions there are. $6 x^{2}-2 x+6=0$
Discriminant: $\square$ How many rational solutions are there? $\square$ How many irrational solutions are there? $\square$ How mamy imaginary solutions are there? $\square$

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Problem 713

$(x+3)^{2}=7$

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Problem 714

Factor. $9 y^{2}+48 y+64$

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Problem 715

Exemple 1 La fonction de coût total d'une firme est donnée par l'équation suivante: $C T=10+2 Q 2$
Si la firme évolue dans un contexte de CPP et que toutes les autres firmes sur le marché affichent un prix de 20\$
Quel prix la firme devrait-elle exiger? Quelle quantité devrait-elle produire afin de maximiser ses profits?

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Problem 716

Factor. $y^{2}-9$

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Problem 717

Question 8 0/3 pts 3 19 Details
Find the domain of function $r(x)=\sqrt{x^{2}+5 x-24}$ . Write your answer using interval notation in the box below. Enter your values as integers or reduced fractions.
Domain of $r(x)=\sqrt{x^{2}+5 x-24}$ : $\square$ Question Help: Video Submit Question

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Problem 718

c. $4 b^{2}+14 b+16<10$

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Problem 719

$15=(x+2)(x-2)(x)$

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Problem 720

2. Solve each equation. a. $x^{2}=5 x-4$

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Problem 721

Solve the equation using factoring or the quadratic formula, whichever is appropriate. Answer in lowest terms. $\frac{x^{2}}{2}+1=\frac{3 x}{5}$
Hint: Answer in the form $\frac{a \pm b i \sqrt{c}}{d}$ . Enter 1 for $b$ or $d$ if they are 1. $\square$ $\pm$ $\square$ $i$ $\square$ $\square$

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Problem 722

Find the discriminant and then determine how many of each types of solutions there are. $25 b^{2}-40 b+16=0$
Discriminant: $\square$ How many rational solutions are there? $\square$ How many irrational solutions are there? $\square$ How many imaginary solutions are there? $\square$

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Problem 723

Find the discriminant and then determine how many of each types of solutions there are. $2 y^{2}+3 y-7=0$
Discriminant: $\square$ How many rational solutions are there? $\square$ How many irrational solutions are there? $\square$ How many imaginary solutions are there? $\square$

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Problem 724

$\begin{array}{l}x=2, y=4, A=3, b=-2 \\ x^{2}+4^{2}-4==\end{array}$

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Problem 725

Solve the following equation. $\left(x^{2}+2 x+5\right)^{\frac{3}{2}}+1=0$
Select the correct answer below, and if necessary, fill in the answer box to complete your selection. A. The solution(s) is/are $x=$ $\square$ (Use a comma to separate answers as needed.) B. There are no solutions.

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Problem 726

Solve each equation By Completing the Square
4. x² + 14x-51 = 0 (x- p)² = q Perfect Square Trinomial = value *2 identical factors Use Square Roots to solve By the Quadratic Formula -bt√b2-4ac x= 2a Set = 0 Identify a, b and c
5. x2-12x + 23 = 0
6. x²+2x=-20

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Problem 727

Table (Tangent) Table (Cosine) Table (Sine) Practice 1) IXL State Standards Thelast.
Question
Select the inequality which represents the graph shown below.
Answer $y+5 \geq-x^{2}+6 x$ $y+5 \leq-x^{2}+6 x$ $y+5 \leq-x^{2}-6 x$ $y+5 \geq-x^{2}-6 x$

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Problem 728

Question 26 (Mandatory) (1 point) The function $h(t)=-5 t^{2}+7 t+12$ , where $h(t)$ is the height in metres and $t$ is the time in seconds, models the height of a ball thrown from a balcony to the ground below. What is the maximum height reached by the ball?

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Problem 729

Solve the following quadratic equation for all values of $x$ in simplest form. $2(x-3)^{2}+19=37$
Answer Attempt 1 out of 2 Additional Solution No Solution $x=$ $\square$ Submit Answer

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Problem 730

Solve. $\begin{array}{l} 25 x^{2}-81=0 \\ x= \end{array}$

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Problem 731

Factor.
4. $x^{2}+6 x y+5 y^{2}=$
5. $2 m^{2}-5 m-12=$
6. $b^{2}-b-42=$
7. $b^{2}+5 b-36=$
8. $12 a^{2}-8 a-7=$
9. $x^{2}+20 x+36=$
10. $3 x^{2}-14 x-5=$
11. $x^{2}+12 x y+20 y^{2}=$
12. $x^{2}-5 x+6=$
13. $y^{2}+y-56=$
14. $d^{2}-12 d+32=$
15. $y^{2}-11 y+24=$
16. $x^{2}+8 x+15=$
17. $d^{2}-6 d-16=$

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Problem 732

Find the two possible values for $c$ if $(a x+2)(b x+7)=15 x^{2}+c x+14$ and $a+b=8$ .

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Problem 733

Solve the equation $\left(\frac{2}{3}-x\right)^{2}=1: \frac{4}{9}$ .

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Problem 734

Convert the conic equation $x^{2}-6 x+y^{2}-4 y+12=0$ to graphing form.

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Problem 735

Calculate $4 x^{2}+3 x$ when $x=6$ .

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Problem 736

Find the values of $x$ that satisfy the equation $(x+5)(x+7)=0$ .

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Problem 737

Find the value of $x$ that minimizes the function $f(x)=(x+7)^{2}+4$ .

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Problem 738

Determine the domain of the function $f(x)=x^{2}+2x+3$ .

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Problem 739

Find values of $\mathrm{k}$ for which the equation $3 x^{2}-4 x+5=\mathrm{k}(x^{2}-x-2)$ has two real solutions.

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Problem 740

Find the value of $m$ and the second root for the equation $3 x^{2}+m x-16=0$ given one root is -8.

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Problem 741

Find $m$ and the second root of $3 x^{2}+m x-16=0$ if one root is -8 and the roots are distinct real numbers.

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Problem 742

Solve the inequality $(-5 q-2)^{2}-4(-2)(p q)<0$ .

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Problem 743

Find an expression for $p$ and $q$ so that $\frac{x-p}{x+q}=\frac{3x+p}{x-2q}$ has no real roots.

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Problem 744

Rewrite the equation in standard form: $-3x^{2} - 16 = -3x$ .

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Problem 745

Rewrite the equation in standard form: $2x^{2} - x - 13 = 0$ .

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Problem 746

Solve the quadratic equation $(x+10)^{2}=49$ for all values of $x$ .

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Problem 747

Solve the quadratic equation $(x+2)^{2}+25=50$ for all values of $x$ in simplest form.

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Problem 748

Which quadratic equations can be solved by extracting square roots? A. $x^2-8x+12=0$ B. $w^2-81=0$ C. $4x^2-40=24$ D. $9y^2=-21y-54$

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Problem 749

Solve the inequality $x^2 - 2x - 3 > 0$ .

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Problem 750

Which statements about quadratic equations are true? I. The form is $ax^2 + bx + c = 0$ , $a \neq 0$ . II. All quadratics can be linear. A. I only B. II only C. III only D. I and II

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Problem 751

Find $p$ and $q$ such that $x-3$ is a common factor of $x^{2}+(p-q)x-q$ and $2x^{2}+(p-1)x+(p-2q)$ .

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Problem 752

Rewrite $x^{2}-7 x+11$ as $(x+a)^{2}+b$ .

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Problem 753

Find the coordinates of the minimum point of the graph of $x^{2}-7x+11$ .

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Problem 754

Solve the inequality $x^{2} - 5x - 24 > 0$ .

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Problem 755

Solve the inequality $y^{2}+y-2 \leq 0$ .

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Problem 756

Rewrite the given equations as quadratic equations in the form $a x^{2}+b x+c=0$ .

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Problem 757

Convert each equation to the form $a x^{2}+b x+c=0$ :
1. $(2 x+1)(x-1)=0$
2. $(x-4)(2 x-5)=0$
3. $x(3-5 x)=2$
4. $(x+5)(3 x-1)=x(x+1)$
5. $x(x+1)=x+2$
6. $3 x(x+1)=(x-2)^{2}$
7. $(2 x-5)(x+1)=3 x-2$
8. $(3 x-1)^{2}=x+1$
9. $5 x=2+(x-1)(x+2)$
10. $6 x(3 x+2)=2 x(10 x-1)$

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Problem 758

Find values of $x$ such that: $6 x^{2}+17 x \geq 14$ .

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Problem 759

Solve for $x$ and $y$ : $(4-3 i)^{2}+5(x-i y)=x+i y$ . Find the quadratic equation for the squares of roots of $2 x^{2}-x+3=0$ .

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Problem 760

Convert the quadratic equation $3x^{2}+3y^{2}-9x+15y=21$ to standard form.

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Problem 761

Solve the equation $x^{2}+2x-1=0$ for $x$ .

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Problem 762

Factor the quadratic equation $3x^{2} + 11x - 4$ .

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Problem 763

Solve the equation $x^{2}+2x-1=0$ .

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Problem 764

Factor the quadratic equation $3x^{2}+11x-4=0$ .

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Problem 765

Rewrite the equation $y^{2}-x^{2}+4 x+2 y-5=0$ in standard form.

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Problem 766

Rewrite $(x+3)^{2}=12(y-1)$ in standard form.

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Problem 767

Tentukan titik minimum dari fungsi kuadratik $f(x)=x^{2}-6x+5$ . Koordinatnya adalah $(1,5)$ .

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Problem 768

Ungkapkan $q$ dalam sebutan $p$ dari persamaan $1-q^{2}=3-p$ .

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Problem 769

Tentukan titik minimum dari fungsi kuadratik $f(x)=x^{2}-6x+5$ .

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Problem 770

Find one solution to the equation $z^{2}+10 z-24=0$ .

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Problem 771

Solve the quadratic equation by factoring: $x^{2}-2 x-15=0$ .

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Problem 772

A car traveling at $x$ ft/s takes 1.5 s to react and $\frac{x}{24}$ s to stop. It travels 165 ft total. Find $x$ .

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Problem 773

Solve the equation $-6 x^{2}=-x-2$ .

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Problem 774

A car travels at $x$ ft/s. It takes 1.5 s to react and $\frac{x}{24}$ s to stop. Total distance is 165 ft. Find $x$ .

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Problem 775

A car moves at $x$ feet/sec. It takes 1.5 sec to react and $\frac{x}{24}$ sec to stop. Total distance is 165 ft. Find $x$ .

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Problem 776

A car traveling at $x$ ft/s stops after 165 ft. Which equation helps find $x$ ? A) $x^{2}+48 x-3,960$ B) $x^{2}+48 x-7,920$ C) $x^{2}+72 x-3,960$ D) $x+72 x-7,920$

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Problem 777

求满足条件的数 $a$ ，使得方程 $x^{2}-2x-6+a=0$ 有两个不同的实数解，且方程 $\frac{a}{y-1}-\frac{3}{1-y}=2$ 的解为非负整数。

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Problem 778

已知 $y=(m^{2}+2 m)x^{2}+m^{-1}$ ，求： (1) $m$ 取何值使 $y$ 为 $x$ 的正比例函数？ (2) $m$ 取何值使 $y$ 为 $x$ 的二次函数？ (3) $m$ 取何值使 $y$ 为 $x$ 的反比例函数？

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Problem 779

Solve these equations: 1) $7x^{2}+14=0$ 2) $4p^{2}+8=0$ 3) $5s^{2}+5s+10=0$

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Problem 780

Solve the inequality $x^{2}+4 x-21<0$ and shade the solution region.

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Problem 781

Subtract the polynomials: $5x^{2} - 5x + 1 - (2x^{2} + 9x - 6)$ . Choose the correct answer from the options.

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Problem 782

Find $x$ such that $g(x)=25$ where $g(x)=x^{2}+9$ . A) 4 B) 5 C) 9 D) 13

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Problem 783

A ball's height is given by $h(t)=9+128 t-16 t^{2}$ .
a. Find $h(1)$ and explain it. b. Find $h(4)$ . c. Determine when the ball stops climbing.

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Problem 784

A fish jumps up with an initial speed of 9 m/s. When will it hit the lake surface? Solve $h=9s-4.9s^{2}=0$ . Options: A) 2.0 B) 2.5 C) 3.0 D) 3.5

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Problem 785

Find the roots of the equation $3x^{2}+18x+15=0$ .

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Problem 786

Simplify the expression $(\frac{1}{2} x y - 1)^{2}$ .

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Problem 787

School-Semeste...
Given the function below, determine the following. $f(x)=-3 x^{2}+5$ (24) Find $f(-x)$ .
Education iteboard) racker

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Problem 788

Given the function below, determine the following. $f(x)=-5 x^{2}-8 x-2$
Find $f(-x)$ . $f(-x)=$
Select all true statements below. $f(-x)=f(x)$ $f(-x)=-n f(x)$ $f$ is an odd function $f$ is an even function $f$ is neither an odd nor even function

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Problem 789

Holden Warren Question 20 of 24 PREV NEXT
Solve the following equation. Separate multiple answers with a comma. $x^{2}+5=0$ \begin{tabular}{lc} \hline Question 1 & $100 \%$ \\ \hline Question 2 & $100 \%$ \\ \hline Question 3 & $100 \%$ \\ \hline Question 4 & $100 \%$ \\ \hline Question 5 & $100 \%$ \\ Question 6 & $100 \%$ \\ Question 7 & $100 \%$ \end{tabular}

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Problem 790

Given the function below, determine the following. $f(x)=-4 x^{2}+10$
Find $f(-x)$ . $f(-x)=$
Select all true statements below. $f(-x)=f(x)$ $f(-x)=-f(x)$ $f$ is an odd function $f$ is an even function $f$ is neither an odd nor even function

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Problem 791

ollect all like terms. $(x-5)^{2}$

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Problem 792

Solve by completing the square. $r^{2}-4 r-15=0$
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. $r=$ $\square$ or $r=$ $\square$

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Problem 793

Solve by completing the square. $3 w^{2}+18 w-69=0$
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. $w=$ $\square$ or $w=$ $\square$

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Problem 794

Solve by completing the square. $v^{2}-13 v+23=0$
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. $v=$ $\square$ or $v=$ $\square$

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Problem 795

Solve by completing the square. $t^{2}+12 t=35$
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. $t=$ $\square$ or $t=$ $\square$ Submit

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Problem 796

1. $k^{2}=76$

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Problem 797

14/27
Convert $x^{2}+6 x+9$ to factored form and identify the solution.

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Problem 798

Solve. $(x-2)(x+7)=0$

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Problem 799

Use the graph to find (a) the $x$ -intercept(s) and (b) the zero(s) of the function. (a) The $x$ -intercept(s) is/are $\square$ . (Type an ordered pair. Use a comma to separate answers as needed.)

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Problem 800

Student Name: $\qquad$ Date: $\qquad$ 3.3 PTest AllH 8) Use the related graph of the equation to determine its solutions. Simplify solutions. If there are no real solutions, enter 'no real solution'. $x^{2}-3 x-10=0$

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1 ...5 6 7 8 9 10 11 ...27

Quadratics

Problem 701

Question 2 of 10 What are the zeros of this function? A. x=0x=0x=0 and x=−6x=-6x=−6 B. x=0x=0x=0 and x=−9x=-9x=−9 C. x=3x=3x=3 and x=−9x=-9x=−9 D. x=0x=0x=0 and x=6x=6x=6

Problem 702

Solve. 16x4+47x2=316 x^{4}+47 x^{2}=316x4+47x2=3

Problem 703

Problem 704

Put the quadratic into vertex form and state the coordinates of the vertex. y=x2−6x+21y=x^{2}-6 x+21y=x2−6x+21

Problem 705

11y2−25=11 y^{2}-25=11y2−25=

Problem 706

The plot of what function appears below? f(x)=x2f(x)=x^{2}f(x)=x2 f(x)=−(x−1)2f(x)=-(x-1)^{2}f(x)=−(x−1)2 f(x)=−x2+1f(x)=-x^{2}+1f(x)=−x2+1 f(x)=−(x+1)2f(x)=-(x+1)^{2}f(x)=−(x+1)2 f(x)=(x−1)2f(x)=(x-1)^{2}f(x)=(x−1)2

Problem 707

Solve the equation using factoring or the quadratic formula, whichever is appropriate. Answer in lowest terms. −4y+9=−4y2-4 y+9=-4 y^{2}−4y+9=−4y2 □\square□ ±\pm± □\square□ iii □\square□

Problem 708

Determine the intervals over which the function d(x)=−x2+2x−1 d(x) = -x^2 + 2x - 1 d(x)=−x2+2x−1 is decreasing.

Problem 709

Solve the equation using factoring or the quadratic formula, whichever is appropriate. 100a2+1200a+3600=0a=\begin{array}{l} 100 a^{2}+1200 a+3600=0 \\ a= \end{array}100a2+1200a+3600=0a=​

Problem 710

Problem 711

Problem 712

Problem 713

(x+3)2=7(x+3)^{2}=7(x+3)2=7

Problem 714

Factor. 9y2+48y+649 y^{2}+48 y+649y2+48y+64

Problem 715

Problem 716

Factor. y2−9y^{2}-9y2−9

Problem 717

Problem 718

c. 4b2+14b+16<104 b^{2}+14 b+16<104b2+14b+16<10

Problem 719

15=(x+2)(x−2)(x)15=(x+2)(x-2)(x)15=(x+2)(x−2)(x)

Problem 720

2. Solve each equation. a. x2=5x−4x^{2}=5 x-4x2=5x−4

Problem 721

Problem 722

Problem 723

Problem 724

x=2,y=4,A=3,b=−2x2+42−4==\begin{array}{l}x=2, y=4, A=3, b=-2 \\ x^{2}+4^{2}-4==\end{array}x=2,y=4,A=3,b=−2x2+42−4==​

Problem 725

Problem 726

Solve each equation By Completing the Square4. x² + 14x-51 = 0 (x- p)² = q Perfect Square Trinomial = value *2 identical factors Use Square Roots to solve By the Quadratic Formula -bt√b2-4ac x= 2a Set = 0 Identify a, b and c5. x2-12x + 23 = 06. x²+2x=-20

Problem 727

Problem 728

Question 26 (Mandatory) (1 point) The function h(t)=−5t2+7t+12h(t)=-5 t^{2}+7 t+12h(t)=−5t2+7t+12, where h(t)h(t)h(t) is the height in metres and ttt is the time in seconds, models the height of a ball thrown from a balcony to the ground below. What is the maximum height reached by the ball?

Problem 729

Solve the following quadratic equation for all values of xxx in simplest form. 2(x−3)2+19=372(x-3)^{2}+19=372(x−3)2+19=37Answer Attempt 1 out of 2 Additional Solution No Solution x=x=x= □\square□ Submit Answer

Problem 730

Solve. 25x2−81=0x=\begin{array}{l} 25 x^{2}-81=0 \\ x= \end{array}25x2−81=0x=​

Problem 731

Problem 732

Find the two possible values for ccc if (ax+2)(bx+7)=15x2+cx+14(a x+2)(b x+7)=15 x^{2}+c x+14(ax+2)(bx+7)=15x2+cx+14 and a+b=8a+b=8a+b=8.

Problem 733

Solve the equation (23−x)2=1:49\left(\frac{2}{3}-x\right)^{2}=1: \frac{4}{9}(32​−x)2=1:94​.

Problem 734

Convert the conic equation x2−6x+y2−4y+12=0x^{2}-6 x+y^{2}-4 y+12=0x2−6x+y2−4y+12=0 to graphing form.

Problem 735

Calculate 4x2+3x4 x^{2}+3 x4x2+3x when x=6x=6x=6.

Problem 736

Find the values of xxx that satisfy the equation (x+5)(x+7)=0(x+5)(x+7)=0(x+5)(x+7)=0.

Problem 737

Find the value of xxx that minimizes the function f(x)=(x+7)2+4f(x)=(x+7)^{2}+4f(x)=(x+7)2+4.

Problem 738

Determine the domain of the function f(x)=x2+2x+3f(x)=x^{2}+2x+3f(x)=x2+2x+3.

Problem 739

Find values of k\mathrm{k}k for which the equation 3x2−4x+5=k(x2−x−2)3 x^{2}-4 x+5=\mathrm{k}(x^{2}-x-2)3x2−4x+5=k(x2−x−2) has two real solutions.

Problem 740

Find the value of mmm and the second root for the equation 3x2+mx−16=03 x^{2}+m x-16=03x2+mx−16=0 given one root is -8.

Problem 741

Find mmm and the second root of 3x2+mx−16=03 x^{2}+m x-16=03x2+mx−16=0 if one root is -8 and the roots are distinct real numbers.

Problem 742

Solve the inequality (−5q−2)2−4(−2)(pq)<0(-5 q-2)^{2}-4(-2)(p q)<0(−5q−2)2−4(−2)(pq)<0.

Problem 743

Find an expression for ppp and qqq so that x−px+q=3x+px−2q\frac{x-p}{x+q}=\frac{3x+p}{x-2q}x+qx−p​=x−2q3x+p​ has no real roots.

Problem 744

Rewrite the equation in standard form: −3x2−16=−3x-3x^{2} - 16 = -3x−3x2−16=−3x.

Problem 745

Rewrite the equation in standard form: 2x2−x−13=02x^{2} - x - 13 = 02x2−x−13=0.

Problem 746

Question 2 of 10 What are the zeros of this function? A. $x=0$ and $x=-6$ B. $x=0$ and $x=-9$ C. $x=3$ and $x=-9$ D. $x=0$ and $x=6$

Solve. $16 x^{4}+47 x^{2}=3$

Put the quadratic into vertex form and state the coordinates of the vertex. $y=x^{2}-6 x+21$

$11 y^{2}-25=$

The plot of what function appears below? $f(x)=x^{2}$ $f(x)=-(x-1)^{2}$ $f(x)=-x^{2}+1$ $f(x)=-(x+1)^{2}$ $f(x)=(x-1)^{2}$

Solve the equation using factoring or the quadratic formula, whichever is appropriate. Answer in lowest terms. $-4 y+9=-4 y^{2}$ $\square$ $\pm$ $\square$ $i$ $\square$

Determine the intervals over which the function $d(x) = -x^2 + 2x - 1$ is decreasing.

Solve the equation using factoring or the quadratic formula, whichever is appropriate. $\begin{array}{l} 100 a^{2}+1200 a+3600=0 \\ a= \end{array}$

$(x+3)^{2}=7$

Factor. $9 y^{2}+48 y+64$

Factor. $y^{2}-9$

c. $4 b^{2}+14 b+16<10$

$15=(x+2)(x-2)(x)$

2. Solve each equation. a. $x^{2}=5 x-4$

$\begin{array}{l}x=2, y=4, A=3, b=-2 \\ x^{2}+4^{2}-4==\end{array}$

Solve each equation By Completing the Square
4. x² + 14x-51 = 0 (x- p)² = q Perfect Square Trinomial = value *2 identical factors Use Square Roots to solve By the Quadratic Formula -bt√b2-4ac x= 2a Set = 0 Identify a, b and c
5. x2-12x + 23 = 0
6. x²+2x=-20

Question 26 (Mandatory) (1 point) The function $h(t)=-5 t^{2}+7 t+12$ , where $h(t)$ is the height in metres and $t$ is the time in seconds, models the height of a ball thrown from a balcony to the ground below. What is the maximum height reached by the ball?

Solve the following quadratic equation for all values of $x$ in simplest form. $2(x-3)^{2}+19=37$
Answer Attempt 1 out of 2 Additional Solution No Solution $x=$ $\square$ Submit Answer

Solve. $\begin{array}{l} 25 x^{2}-81=0 \\ x= \end{array}$

Find the two possible values for $c$ if $(a x+2)(b x+7)=15 x^{2}+c x+14$ and $a+b=8$ .

Solve the equation $\left(\frac{2}{3}-x\right)^{2}=1: \frac{4}{9}$ .

Convert the conic equation $x^{2}-6 x+y^{2}-4 y+12=0$ to graphing form.

Calculate $4 x^{2}+3 x$ when $x=6$ .

Find the values of $x$ that satisfy the equation $(x+5)(x+7)=0$ .

Find the value of $x$ that minimizes the function $f(x)=(x+7)^{2}+4$ .

Determine the domain of the function $f(x)=x^{2}+2x+3$ .

Find values of $\mathrm{k}$ for which the equation $3 x^{2}-4 x+5=\mathrm{k}(x^{2}-x-2)$ has two real solutions.

Find the value of $m$ and the second root for the equation $3 x^{2}+m x-16=0$ given one root is -8.

Find $m$ and the second root of $3 x^{2}+m x-16=0$ if one root is -8 and the roots are distinct real numbers.

Solve the inequality $(-5 q-2)^{2}-4(-2)(p q)<0$ .

Find an expression for $p$ and $q$ so that $\frac{x-p}{x+q}=\frac{3x+p}{x-2q}$ has no real roots.

Rewrite the equation in standard form: $-3x^{2} - 16 = -3x$ .

Rewrite the equation in standard form: $2x^{2} - x - 13 = 0$ .

Solve the quadratic equation $(x+10)^{2}=49$ for all values of $x$ .

Solve the quadratic equation $(x+2)^{2}+25=50$ for all values of $x$ in simplest form.

Which quadratic equations can be solved by extracting square roots? A. $x^2-8x+12=0$ B. $w^2-81=0$ C. $4x^2-40=24$ D. $9y^2=-21y-54$

Solve the inequality $x^2 - 2x - 3 > 0$ .

Which statements about quadratic equations are true? I. The form is $ax^2 + bx + c = 0$ , $a \neq 0$ . II. All quadratics can be linear. A. I only B. II only C. III only D. I and II

Find $p$ and $q$ such that $x-3$ is a common factor of $x^{2}+(p-q)x-q$ and $2x^{2}+(p-1)x+(p-2q)$ .

Rewrite $x^{2}-7 x+11$ as $(x+a)^{2}+b$ .

Find the coordinates of the minimum point of the graph of $x^{2}-7x+11$ .

Solve the inequality $x^{2} - 5x - 24 > 0$ .

Solve the inequality $y^{2}+y-2 \leq 0$ .

Rewrite the given equations as quadratic equations in the form $a x^{2}+b x+c=0$ .

Find values of $x$ such that: $6 x^{2}+17 x \geq 14$ .

Solve for $x$ and $y$ : $(4-3 i)^{2}+5(x-i y)=x+i y$ . Find the quadratic equation for the squares of roots of $2 x^{2}-x+3=0$ .

Convert the quadratic equation $3x^{2}+3y^{2}-9x+15y=21$ to standard form.

Solve the equation $x^{2}+2x-1=0$ for $x$ .

Factor the quadratic equation $3x^{2} + 11x - 4$ .

Solve the equation $x^{2}+2x-1=0$ .

Factor the quadratic equation $3x^{2}+11x-4=0$ .

Rewrite the equation $y^{2}-x^{2}+4 x+2 y-5=0$ in standard form.

Rewrite $(x+3)^{2}=12(y-1)$ in standard form.

Tentukan titik minimum dari fungsi kuadratik $f(x)=x^{2}-6x+5$ . Koordinatnya adalah $(1,5)$ .

Ungkapkan $q$ dalam sebutan $p$ dari persamaan $1-q^{2}=3-p$ .

Tentukan titik minimum dari fungsi kuadratik $f(x)=x^{2}-6x+5$ .

Find one solution to the equation $z^{2}+10 z-24=0$ .

Solve the quadratic equation by factoring: $x^{2}-2 x-15=0$ .

A car traveling at $x$ ft/s takes 1.5 s to react and $\frac{x}{24}$ s to stop. It travels 165 ft total. Find $x$ .

Solve the equation $-6 x^{2}=-x-2$ .

A car travels at $x$ ft/s. It takes 1.5 s to react and $\frac{x}{24}$ s to stop. Total distance is 165 ft. Find $x$ .