Answer:
y = - 2(x - 1)² + 18
Step-by-step explanation:
- 2x² + 4x + 16 ← factor out - 2 from the first 2 terms
= - 2(x² - 2x) + 16
using the method of completing the square
add/subtract ( half the coefficient of the x- term)² to x² - 2x
= - 2(x² + 2(- 1)x + 1 - 1) + 16
= - 2(x - 1)² + 2 + 16
= - 2(x - 1)² + 18 ← in vertex form
Answer:the percentage decrease is 36.67%
Step-by-step explanation:
Initial amount of sugar in his diet is 15 spoons in a day. Currently, the amount of sugar in his diet is 9 1/2 spoons in a day. Converting to decimal, it becomes 9.5 spoon in a day. The amount by which he reduced his sugar intake is 15 - 9.5 = 5.5 spoons.
Percentage decrease would be expressed as
Amount by which the intake decreased/ initial intake × 100
It becomes
5.5/15 × 100 = 36.67%
Answer:
Length of the garden= 7 feet while the width =28 feet
Step-by-step explanation:
Let the length of the garden be L while the width represented as W
From the question, we deduce the following:
W = 4L
Perimeter = 2(L + W) = 70 feet .... substituting W = 4L into this equation gives
70 = 2(L + 4L)
70 = 2(5L)
70 = 10L ... dividing both sides by 10 gives
L = 7
Recall from the first equation that W = 4L
W = 4 * 7 =28
Answer:
AABC and AXYZ are similar triangles. The lengths of two sides of each triangle are shown. Find the lengths of the third side of each triangle
