Answer:
The width of the rectangle is 75 meters and length is 480 meters.
Step-by-step explanation:
The perimeter of the rectangle = 1110 meters
Let the width of the rectangle = k meters
So,the length of the rectangle = 6k + 30
Now, PERIMETER OF A RECTANGLE = 2(LENGTH + WIDTH)
⇒ 1110 = 2( k + (6k + 30))
or, 1110 = 14 k + 60
or, 14 k = 1110 - 60 = 1050
⇒ k = 1050/14 = 75
Hence, the width of the rectangle is k = 75 meters
and the Length of the rectangle is 6k + 30 = 6(75) +30
= 480 meters
Answer:
(136.60 - 61.60) / 30 = 2.5 hours
Step-by-step explanation:
First, subtract the cost of parts from the total: 136.60 - 61.60 = 75
Now you have the total labor cost. Divide by the hourly rate: 75 / 30 = 2.5
Answer:
-7
Step-by-step explanation:
The numeric value of the composite function at x = 2 is given as follows:
(f ∘ g)(2) = 33.
<h3>Composite function</h3>
The composite function of f(x) and g(x) is given by the rule presented as follows:
(f ∘ g)(x) = f(g(x)).
It means that the output of the inside function serves as the input for the outside function.
In the context of this problem, the functions are given as follows:
The composite function is:
(f ∘ g)(x) = f(-2x) = (-2x)² - 3(-2x) + 5 = 4x² + 6x + 5.
At x = 2, the numeric value is given as follows:
(f ∘ g)(2) = 4(2)² + 6(2) + 5 = 33.
Learn more about composite functions at brainly.com/question/10687170
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