They would have to pay the hourly cost if they played around 7 games because 7 games would equal to the cost of one hour.
Answer:
f(g(x)) = 4x² - 12x + 9
Step-by-step explanation:
Substitute x = g(x) into f(x) , that is
f(g(x))
= f(2x - 3)
= (2x - 3)² ← expand using FOIL
= 4x² - 12x + 9
It means that the two line segments, EF and GH, are A, parallel.
The symbol between the segments (ll) is of two parallel lines, so it's stating that the segments are parallel.
Answer:
circle area = 1963.495 ft²
Step-by-step explanation:
<u>Given</u>
A rectangle 550 ft by 350 ft packed with circles on a rectangular grid
<u>Find</u>
the area of the largest circle that can be packed this way
<u>Solution</u>
The diameter of the circle must be a factor of both 350 and 550. We want the diameter to be the largest such factor. We can write the factors of 350 and 550 as ...
- 350 = 50 × 7
- 550 = 50 × 11
The largest factor common to both numbers is 50, so that will be the diameter of the largest circle that will fit on a square grid.
The area of a circle is commonly given by the formula ...
A = πr² . . . . . where r represents the radius of the circle.
The radius is half the diameter, so will be (50 ft)/2 = 25 ft. And the area of the circle is ...
A = π(25 ft)² = 625π ft² ≈ 1963.495 ft²
The area of one circle is about 1963.495 square feet.
_____
The total number of circles is 11×7 = 77. Their total area is 77×1963.495 ft² ≈ 151,189 ft². This is 151,189/192,400 ≈ 78.54% of the total area of the rectangle.
Answer:
D. It would be less steep.
Step-by-step explanation:
→When the absolute value of the number in front of x is greater than 1, the function on the graph narrows. When the absolute value of the number in front of x is less than 1, the function on the graph widens.
<u>In this case, the number is less than 1, making it grow wider. And as a result of it growing wider, it also becomes less steep.</u>
