For quadratic function h, h\left(-\frac{3}{2}\right) = 0 and h(5) = 0. What is a possible equation for h in factored form?
Choose two correct answers.
h(x) = __________ ___________
Other Answer Choices:
(x+5)
(3x-2)
(3x+2)
(2x-3)
(2x+3)
(x-5)
Question 23
23.
Question 24
24.
Question 25
25.
Question 26
26.
Question 27
27.
Question 28
28.
What is the positive solution to x^2 + 9x - 22 = 0?
Question 29
29.
Question 30
30.
Question 31
31.
Question 32
32.
Question 33
33.
What is the positive solution to the equation 0 = \frac{1}{3}x^2 - 3?
Question 34
34.
Question 35
35.
Which expression is equivalent to 7 times the square root of 45?
12 times square root of 3
35 times square root of 3
10 times square root of 5
21 times square root of 5
The graph of quadratic function h is shown on the grid.
Which function is best represented by the graph of h?
h(x) = -x^2 + 8x - 15
h(x) = x^2 - 8x + 15
h(x) = -x^2 - 8x - 15
h(x) = x^2 + 8x + 15
The graph shows the height in feet of an object above the ground t seconds after it was launched from the ground.
Which function is best represented by the graph of this situation?
h(t) = -16t^2 - 64t
h(t) = -16t^2 - 128t - 256
h(t) = -16t^2 + 64t
h(t) = -16t^2 + 128t - 256
Which statement about f(x) = 4x^2 - 36x + 81 is true?
The zeros are +/-\frac{9}{2} because f(x) = (2x - 9)(2x + 9).
The zeros are -\frac{3}{2} and \frac{27}{2} because f(x) = (2x + 3)(2x + 27).
The zeros are \frac{3}{4} and -27 because f(x) = (4x - 3)(x - 27).
The only zero is \frac{9}{2} because f(x) = (2x - 9)^2.
Given f(x) = x^2 - 36, which statement is true?
The zeros, -6 and 6, can be found when 0 = (x + 6)(x - 6).
The only zero, 6, can be found when 0 = (x - 6)(x - 6).
The zeros, -18 and 18, can be found when 0 = (x + 18)(x - 18).
The only zero, 18, can be found when 0 = (x - 18)(x - 18).
Which statement about f(x) = 2x^2 - 3x - 5 is true?
The zeros are -5/2 and 1, because f(x) = (x - 1)(2x + 5).
The zeros are -5/2 and -1, because f(x) = (x + 1)(2x + 5).
The zeros are -1 and 5/2, because f(x) = (x + 1)(2x - 5).
The zeros are 1 and 5/2, because f(x) = (x - 1)(2x - 5).
What are the solutions to the equation 5(x + 3)² = 75?
-3 \pm \sqrt{15}
- \frac{3}{5} \pm \sqrt{3}
- \frac{3}{5} \pm \sqrt{15}
-3 \pm \sqrt{3}
Which value of x is the solution to this equation?
5x^2 = 30x - 45
x=-3
x=3
x=5
x=-5
What are the solutions to (x + 7)^2 = 81?
-74 and 88
-88 and 74
-16 and 2
-2 and 16
The area of a rectangular trampoline is 112 ft2. The length of the trampoline is 6 ft greater than the width of the trampoline. This situation can be represented by the equation w^2 + 6w - 112 = 0.
What is the width of the trampoline in feet?
14 ft
7 ft
16 ft
8 ft
The graph of a quadratic function is shown on the grid.
Which function is best represented by this graph?
f(x) = x^2 + 3x - 4
f(x) = -x^2 - 3x + 4
f(x) = x^2 - 3x - 4
f(x) = -x^2 + 3x + 4
Which expression is equivalent to √147?
21√7
3√7
49√3
7√3
Which expression is equivalent to 4\sqrt{147}?
3\sqrt{7}
28\sqrt{3}
12\sqrt{7}
196\sqrt{3}
The graph of a quadratic function is shown on the grid.
Which function is best represented by this graph?
f(x) = -\frac{1}{2}x^2 + 16
f(x) = -x^2 + 16
f(x) = -\frac{1}{2}x^2 + 8
f(x) = -x^2 + 8
Which expression is equivalent to
Which expression is equivalent to
92
Which expression is equivalent to \sqrt{96}?
4\sqrt{6}
8\sqrt{6}
24
48
The graph of quadratic function h is shown.
Which function best represents h?
h(x) = x^2 + 4x + 3
h(x) = x^2 - 2x - 3
h(x) = x^2 - 4x + 3
h(x) = x^2 + 2x - 3
The solutions to p(x) = 0 are x = -7 and x = 7. Which quadratic function could represent p?
p(x) = x^2 - 49
p(x) = x^2 + 49
p(x) = x^2 + 14
p(x) = x^2 - 14
The graph of a quadratic function is shown on the grid.
Which function is best represented by this graph?
h(x) = x2 - 3x - 9
h(x) = x2 + 3x - 9
h(x) = x2 - 6x
h(x) = x2 + 6x
Given g(x) = x^2 - 6x - 16, which statement is true?
The zeros are -8 and -2, because the factors of g are (x + 8) and (x + 2).
The zeros are -2 and 8, because the factors of g are (x + 2) and (x - 8).
The zeros are 2 and 8, because the factors of g are (x - 2) and (x - 8).
The zeros are -8 and 2, because the factors of g are (x + 8) and (x - 2).
Which statement about g(x) = x^2 - 576 is true?
The only zero, 288, can be found when 0 = (x - 288)^2.
The zeros, -24 and 24, can be found when 0 = (x + 24)(x - 24).
The only zero, 24, can be found when 0 = (x - 24)^2.
The zeros, -288 and 288, can be found when 0 = (x + 288)(x - 288).
Which statement about k(x) = -x^2 - 2x + 15 is true?
The zeros are -3 and 5, because k(x) = -(x + 3)(x - 5).
The zeros are -5 and -3, because k(x) = -(x + 5)(x + 3).
The zeros are 3 and 5, because k(x) = -(x - 3)(x - 5).
The zeros are -5 and 3, because k(x) = -(x + 5)(x - 3).
Function g is defined by g(x) = 3x^2 - 2x - 5. What are the solutions to g(x) = 0?
x = -1 and x = 5/3
x = 1 and x = -5/3
x = 1 and x = -3/5
x = -1 and x = 3/5
Function k is defined as k(x) = x^2 + 32x + 248. What are the solutions to k(x) = 0?
Which value of x is a solution to this equation?
3x^2 - 30x - 72 = 0
x = -6
x = -2
x = -4
x = -12
What is the solution set for 2x^2 + 15 = -11x?
{-5, -1.5}
{-3, -2.5}
{1.5, 5}
{-2.5, 3}
Which value of x is a solution to this equation?
5x^2 - 36x + 36 = 0
x = -1.8
x = 1.2
x = 4
x = -6
The total number of seats in an auditorium is modeled by f(x) = 2x^2 - 6x, where x represents the number of rows of seats. How many rows are there in the auditorium if it has a total of 416 seats?
32
20
16
13
The sum of the first n consecutive even numbers can be found using S = n^2 + n, where n \geq 2. What is the value of n when the sum is 156?