Answer:
There is 1/2 of 4/5 cup servings in a cup of ice cream.
The standard equation of the circle may be determined through the expression,
(x - h)² + (y - k)² = r²
where h and k are the abscissa and ordinate of the center of the circle, respectively. r, on the other hand is the measure of the radius. Thus, it is important to know the radius and coordinates of the center. The answer is letter D.
Answer:
y = 5x + 25
Explaination:
To get the equation of a line, first get the slope of the line.
Slope = (change in y)/(change in x)
= (60-30)/(7-1)
= 30/6
= 5
Now use one point in the line (4,45) and a general point (x,y).
Slope = (change in y)/(change in x)
5 = (y - 45)/(x - 4)
5(x - 4) = (y - 45)
5x - 20 = y - 45
y = 5x -20 + 45
The function after the transformation has an equation of y = ∛(x - 7) + 5
<h3>How to determine the equation of the transformation?</h3>
The transformation statement is given as
"The cubic function shifts 7 units right and 5 units up."
A cubic function is represented as
y = ∛x
So, the transformations are:
- Shifts 7 units right
- Shift 5 units up
Mathematically, this can be represented as
(x, y) = (x - 7, y + 5)
So, we have the following equation
y = ∛(x - 7) + 5
Hence, the equation of the transformation is y = ∛(x - 7) + 5
Read more about transformation at
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Answer:
160 miles
Step-by-step explanation:
Company A form $130 a day plus $0.30 per mile
Company A = 130 + 0.30x
Company B charges $50 a day plus $0.80 per mile
Company B = 50 + 0.80x
Where,
x = number of miles
Equate the cost of company A and company B
130 + 0.30x = 50 + 0.80x
Collect like terms
130 - 50 = 0.80x - 0.30x
80 = 0.50x
Divide both sides by 0.50x
x = 80 / 0.50
= 160
x = 160 miles
The number of miles in a day at which the rental costs for Company A and Company B are the same is 160 miles