Answer:
since her score was -12 from being perfect
if she had scored 12 more points her score would have been perfect .
that is difference between her score and the perfect score o each quiz was <u>12</u>
Answer:
x = 2
Step-by-step explanation:
8x + 5 = 3x + 15
8x - 3x + 5 = 3x - 3x + 15
5x + 5 = 15
5x + 5 - 5 = 15 - 5
5x = 10
5x / 5 = 10 / 5
x = 2
Answer:
Step-by-step explanation:
Let the other side of the rectangle be y. The perimeter of the rectangle is expressed as P = 2(x+y)
Given P = 30ft, on substituting P = 30 into the expression;
30 = 2(x+y)
x+y = 15
y = 15-x
Also since the area of the rectangle is xy;
A = xy
Substitute y = 15-x into the area;
A = x(15-x)
A = 15x-x²
The function that models its area A in terms of the length x of one of its sides is A = 15x-x²
The side of length x yields the greatest area when dA/dx = 0
dA/dx = 15-2x
15-2x = 0
-2x = -15
x = -15/-2
x = 7.5 ft
Hence the side length, x that yields the greatest area is 7.5ft.
Since y = 15-x
y = 15-7.5
y = 7.5
Area of the rectangle = 7.5*7.5
Area of the rectangle = 56.25ft²
The correct answer for that is y=4
ANSWER: y=4/3x-7
Reasoning: slope is 4/3 (change in y over change in x)
The y intercept is a -7
Then you just fill in the equation