QUIZ ALGEBRA
You have two exponential functions. One has the formula h(x) = 2x + 3. The other function, g(x), has the graph shown below.
g(2) = h(2) = 7
A ball is launched into the sky at 19.6 feet per second from a 58.8 meter tall building. The equation for the ball's height, h, at time t seconds is h = -4.9t^2 + 19.6t + 58.8 . When will the ball strike the ground?
h= -4.9t^2 + 169.6t + 58.8 0=-4.9t^2 + 169.6t + 58.8/-4.9 0= t^2 - 4t - 12 0= (t-6)(t+2) t=6 or t= -2
If the quadratic formula is used to find the solution set of 3x^2 + 4x - 2 = 0, what are the solutions?
primera
Two functions are graphed below. The exponential function is g. The linear function is h. Which option below gives the formula of k(x) = g(x) × h(x)?
segunda
What is the solution set of 7x^2 + 3x = 0?
segunda
You have two exponential functions. One function has the formula g(x) = 3^x. The other function has the formula h(x) = 2^-x. Which option below shows the graph of k(x) = g(x) - h(x)?
tercera
Francine has a picture with a length 5/6 its width. She wants to enlarge the picture to have an area of 375 in^2. What will the dimensions of the enlarged picture be? Model the scenario and solve. Then, explain in at least one sentence your solution and include the reasonableness of your solution.
the solution "-15" is ignored The width must be 15 and the height would then be 5/3 of that amount h=(5/3) 15=25
What is the solution set of (3x - 1)^2 = 5?
ultima
What is the solution set of 2x(x - 1) = 3?
ultima
What is the solution set of x^2 + 5x + 1 = 0?
ultima
Graph the functions and approximate an x-value in which the quadratic function exceeds the exponential function.y = 4^x y = 7x^2 + 4x - 2
x = 0.5
Use a table of function values to approximate an x-value in which the exponential function exceeds the polynomial function.f(x) = 5^x + 4 h(x) = x^2 + 8x + 24
x = 3
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Solve this quadratic equation. x^2 + 2x - 22 = 0
x=-1+√23
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Solve this quadratic equation. x^2 + 5x + 3 = 0
x=-5+√13 --------- 2
Given s(x) = 2x - 3 and t(x) = 5x + 4.Find the formula and domain for v(x) = and w(x) = .
you get: 2 x + 3 = 0 which implies 2 x = 3. So, x = 3/2. When you restrict, you find: x ≠ 3/2.
What is the solution set of (x - 2)(x - 3) = 2?
{1, 4}
Which of the following equations is the result of completing the square on x^2 - 6x - 9 = 0?
( x - 3)^2 = 18
Use technology to approximate the solution(s) to the system of equations to the nearest tenth of a unit.Select all that apply.
(2.6, 0.4) (3.6, 0.6)
Use technology to approximate the solution(s) to the system of equations to the nearest tenth of a unit.Select all that apply.
(9.6, 3.5) (0,0)
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Write the quadratic equation in factored form. Be sure to write the entire equation. x^2 + x - 12 = 0
(x+4)(x-3)=0
The square of a certain negative number is equal to five more than one-half of that number. What is the number?
-2
What is the value of b^2 - 4ac for the following equation?2x^2 + 3x = -1
1
Match each interval with the corresponding rate of change for the function h(x) = 2^-x on the interval.
1. -0.3750 2. -1.0000 3. -0.5000 4. -2.0000 5. -1.5000 6. -0.9375
Match the corresponding function formula with each function when h(x) = 3x + 2 and g(x) = 2^x.
1. k(x) = h(x) ÷ g(x)) 2. k(x) = g(x) ∘ h(x) 3. k(x) = g(x) - h(x) 4. k(x) = h(x) ∘ g(x) 5. k(x) = g(x) + h(x) 6. k(x) = g(x) × h(x)
Match each function with corresponding restrictions to its domain when p(x) = 2x and q(x) = 2^x.
1. x ≠ 0 2. All real numbers, no restrictions 3. x ≠ -2 4.x ≠ -1 5. x ≠ 1, 2
Which of the following constants can be added to x^2 - 10x to form a perfect square trinomial?
25
An object is dropped off a building that is 144 feet tall. After how many seconds does the object hit the ground? (s = 16t^2)
3 seconds
The width and the length of a rectangle are consecutive even integers. If the width is decreased by 3 inches, then the area of the resulting rectangle is 24 square inches. What is the area of the original rectangle?
48 square inches
One quadratic function has the formula h(x) = -x^2 + 4x - 2. Another quadratic function, g(x), has the graph shown below.
Functions g and h have the same maximum of 2.
