Answer:
y - 8 = -2(x + 1)^2
Step-by-step explanation:
The vertex of this parabola is (-1, 8). It opens downward, so the x^2 term has a negative coefficient. The zeros are (-3, 0) and (1, 0), and the y-intercept is (0, 7).
Through the vertex form of the equation of a parabola we get:
y - (8) = a(x - (-1)) + 7, or
y - 8 = a(x + 1)^2. Find coefficient a by substituting the coordinates (-3, 0) in this equation:
0 - 8 = a(-3 + 1)^2, or
-8 = a(-2)^2, or a = -2
The desired equation is
y - 8 = -2(x + 1)^2
This is a correlation as it describes the relationship of Marcus's running speed with the time of day. The cause of the increase in speed is not elaborated.
Given:
To find:
Select the true statements from the given options about the given value.
Solution:
We have,
It can be written as
![[\because \log(ab)=\log a+\log b]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Clog%28ab%29%3D%5Clog%20a%2B%5Clog%20b%5D)
Clearly, the value of x lies between 4 and 5. So, 
and 
.
Therefore, the correct options are C and D.
Answer:
VY = 28 units
Step-by-step explanation:
the perimeter (P) of a rectangle is calculated as
P = 2 ( length + breadth )
given P = 130 , then
2(5y + 2 + 4y) = 130 ( divide both sides by 2 )
9y + 2 = 65 ( subtract 2 from both sides )
9y = 63 ( divide both sides by 9 )
y = 7
Then
VY = 4y = 4 × 7 = 28
