Answer:
step 1. The vertex is when x = -b/2a (by definition)
step 2. a = -16, b = 15. x(vertex) = -15/2(-16) = 15/32
step 3. y(vertex) = -16(15/32)^2 + 15(15/32) = 225/64 = 3 33/64
step 4. since the ball started at a height of 5 feet you add 5.
step 5. answer: 3 33/64 + 5 = 8 33/64.
Answer:
a. $17.50
b. $11.25
c. $5
Step-by-step explanation:
First, set up an equation:
20 - 1.25x = m
Now let's substitute in for x (which is how many snacks you buy) to solve for m (the amount of money you have left):
20 - 1.25 ( 2 ) = m
20 - 2.50 = m
17.50 = m
20 - 1.25 ( 7 ) = m
20 - 8.75 = m
11.25 = m
20 - 1.25 ( 12 ) = m
20 - 15 = m
5 = m
Answer:
Answer:
The width is 4 units, and the length is 10 units.
Step-by-step.
Step-by-step explanation:
area of rectangle = length * width
Let L = length; let W = width.
"The length is 6 units greater than the width.": L = W + 6
area = LW = 40
Since L = W + 6, we substitute L with W + 6.
(W + 6)W = 40
W^2 + 6W = 40
W^2 + 6W - 40 = 0
(W - 4)(W + 10) = 0
W - 4 = 0 or W + 10 = 0
W = 4 or W = -10
A width cannot be a negative number, so we discard the solution W = -10.
W = 4
L = W + 6 = 4 + 6 = 10
The width is 4 units, and the length is 10 units.
3x - 3 = x + 5
2x -3 = 5
2x = 8
x = 4
you can plug 4 into each one to determine that they both equal 9 and that entire length is equal to 18