Answer:
A = 104 ft²
Step-by-step explanation:
We're given that the width of the rectangle is 8 so that's the value of w. All we have to do is just plug in 8 into the equation:
A=w²+5w
A=(8)²+5(8)
A=64+40
A = 104 ft²
Answer: raise 2 to the number of days, and then multiply this value by 3.
Step-by-step explanation:
OK. Since One quart= 2 pints, divide the number of pints (48) by 2.
48/2=24
24 is the answer for the number of quarts.
Answer:
The initial value is 29.5
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
where
m is the slope
b is the y-intercept ( also called initial value)
we have the points
(3,42.25) and (5,50.75)
Find the slope m
The formula to calculate the slope between two points is equal to
substitute the values
substitute in the equation
![y=4.25x+b](https://tex.z-dn.net/?f=y%3D4.25x%2Bb)
<em>Find the value of b</em>
with the point (3,42.25) ( or the other given point)
substitute the value of x and the value of y in the equation and solve for b
![42.25=4.25(3)+b](https://tex.z-dn.net/?f=42.25%3D4.25%283%29%2Bb)
![42.25=12.75+b](https://tex.z-dn.net/?f=42.25%3D12.75%2Bb)
![b=42.25-12.75](https://tex.z-dn.net/?f=b%3D42.25-12.75)
![b=29.5](https://tex.z-dn.net/?f=b%3D29.5)
substitute
The linear equation is
![y=4.25x+29.5](https://tex.z-dn.net/?f=y%3D4.25x%2B29.5)
The initial value is the y-intercept (value of y when the value of x is equal to zero)
For x=0
![y=4.25(0)+29.5](https://tex.z-dn.net/?f=y%3D4.25%280%29%2B29.5)
![y=29.5](https://tex.z-dn.net/?f=y%3D29.5)
Therefore
The initial value is 29.5
The answer to the question is 6.5