Step-by-step explanation:
we have :
between 
and 
so between 2 and 3
Answer:
The last equation matches the graph
Step-by-step explanation:
The reason why this graphing correspond to y=-2^x is because we know the parent function of f(x)=2^x is going to be the reflection over the x-axis with respect to this graphing giving , in another word if we were to multiply -1 to 2^x then the function is going to go from monotonically increasing at interval x=(-infinite, infinite), to monotonically decreasing at x=(-infinite, infinite), which is going to look exactly the same as the giving graph
Find the vertex using vertex formula
-b ÷ 2a -8 ÷ -2 x = 4 for y plug in
F(x) = -(4)² + 8(4) + 9
= -16 + 28 +9
= 12 + 9
= 21
(4,21)
vertex form
y = -(x - 4)² + 21
so that means it will flip down - means flip down
so vertex represents a maximum point
Answer:
in triangle BCD
relationship between base and hypotenuse is given by cos angle
cos 71=b/h
cos71=BD/BC
cos71=67/x
x=67/cos71=205.8ft.
the length of BC to the nearest tenth of a foot is 206ft.
<h3>
Answer: True</h3>
Explanation:
All direct proportion equations are <u>straight lines</u> that go through the <u>origin</u>.
In this case, the constant of proportionality is 5 because of the following
- y/x = 5/1 = 5
- y/x = 10/2 = 5
- y/x = 15/3 = 5
- y/x = 35/7 = 5
- y/x = 50/10 = 5
Each x,y set of values are selected from the points in the graph. The equation of the green line is y = 5x with slope 5 and y intercept 0.
Furthermore, that slope 5 indicates that the unit rate is 5 gallons per minute.
