Natalie spent half of her weekly allowance at the movies.To earn more money her parents let her weed the garden for 9 dollars .
1 answer:
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Answer:
Step-by-step explanation:
6). Equation of the line has been given as,
4x + 9y = -9
By converting this equation into y-intercept form,
9y = -4x - 9
By comparing this equation with y = mx + b
Here, m = Slope of the line
b = y-intercept
Slope of the equation (m) =
y-intercept (b) = -1
8). Equation of the line is,
5x + 3y = 12
3y = -5x + 12
Slope of the line =
y-intercept = 4
Answer:
The height of the roof in his house is 72.43 ft.
Step-by-step explanation:
The volume of square pyramid is :
B= area of the base.
h= the height.
Given that,
The roof is a square pyramid in shape. The volume of the roof is 18929.333 cubic feet.
The side length of the base of the roof is 28 feet.
Since the base of the roof is square in shape.
The area of the square is = side²
The area of the base is =(28×28) square feet
=784 square feet
Assume the height of the roof be h ft.
Then, the volume of the roof is =
square feet.
According to the problem,
ft.
The height of the roof in his roof is 72.43 ft.
Answer:
$15.63 ≤ x ≤ $54.365
Step-by-step explanation:
Profit of the phone company is modeled by the equation,
p(x) = -50x² + 3500x - 2500
For the profit of at least $40000,
-50x² + 3500x - 2500 ≥ 40000
-50x² + 3500x ≥ 40000 + 2500
-50x² + 3500x ≥ 42500
-x² + 70x ≥ 850
x² - 70x + 850 ≤ 0
By quadratic formula,
x - intercept of the inequality will be,
x =
x =
x = 15.635, 54.365
Therefore, $15.635 ≤ x ≤ $54.365 will be the range of cost for which profit will be at least $40000.