Answer: The vertical stretch of 5 in the equation y = x is defined by 
.
Explanation:
The given equation is,
It can be written as,
The function is defined as 
.
If 
, then the function has a vertical stretch by a factor of S units.
If 
, then the function has a vertical shrink by a factor of S units.
Since we have to find the vertical stretch of 5 in the equation y = x.
The below figure shows the graph of y = x and .
Answer:
the number of miles is 14,722
Step-by-step explanation:
The computation of the number of miles drive last year is shown below:
= Total cost ÷ cost per mile
= $1,560 + $3,740 ÷ $0.36 per mile
= $5,300 ÷ $0.36 per mile
= 14,722 miles
Hence, the number of miles is 14,722
Answer:
y = 14x
Step-by-step explanation:
Use the direct variation equation, y = kx
Plug in 7 as y and 0.5 as x, and solve for k:
y = kx
7 = k(0.5)
14 = k
Plug this into the equation:
y = kx
y = 14x
So, the equation of variation is y = 14x
Answer:
x= 3/5 or x= 0.6
Step-by-step explanation:
<span>Let the extension of the length and width be x.
The new dimensions are: Length = 8+x
Width =3+x
Area = 104 ft squared
Area of a rectangle = Length x Width
Therefore,
(8+x)(3+x) = 104
x^2 +11x +24=104
x^2 +11x +24-104=0
x^2 +11x-80=0
Factorize using splitting the middle term method.
X^2 +16x-5x-80=0
x(x+16)-5(x+16)=0
(x-5)(x+16)=0
either x-5 = 0 or x+16=0
x=5 or x=-16
length and width measure cannot be negative.
Therefore, the extension of the length and width is 5 feet each.</span>
