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S_A_V [24]
3 years ago
15

(50 POINTS) Composite Functions MATH please help

Mathematics
1 answer:
alekssr [168]3 years ago
6 0

Answer:

a. C(x(h)) = 600h + 500

b. C(8) = 5,300

c. See below.

Step-by-step explanation:

a. C(x(h)) = C(30h) = 20(30h) + 500 = 600h + 500

b. C(8) = 600(8) + 500 = 5,300

c. 5,300 is the cost of making the number of shovels that can be made in 8 hours.

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The triangular-shaped bases of a prism are 24 cm in length and have a height of 35 cm. Each side is 37 cm. The height of the pri
Savatey [412]

Answer:

The surface area of Triangular base Prism = 3682 cm²

Step-by-step explanation:

Given in question as :

For a Triangular base prism ,

The base of  prism (b) = 24 cm

The height of prism (l) = 29 cm

Each side length (s) = 37 cm

The height of base triangle ( h ) = 35 cm

Hence , we know that The surface area of Triangular base prism is

 = (b×h) + (2×l×s) + (l×b)

 = (24×35) + (2×29×37) + (29×24)

 = (840) + (2146) + (696)

 = 3682  cm²

Hence The surface area of Triangular base Prism is 3682 cm²  Answer

3 0
3 years ago
What would the answer be???
Korolek [52]

Answer:

The solution is obtained by adding the two equations.

The solution is: (x, y) = ($ - \frac{2}{3} $, $ - \frac{7}{3} $)

Step-by-step explanation:

We are given two equations with two variables. The strategy is to eliminate one variable and solve for both the variables.

The two equations are:

$ 7x + y = - 7 \hspace{15mm} \hdots (1) $

$ 2x - y = 1 \hspace{15mm} \hdots (2) $

Adding both the equations, we get:

$ 7x + 2x + y - y = - 7 + 1 $

$ \implies 9x = - 6 $

$ \implies x = - \frac{2}{3} $

Substituting the value of 'x', we get the value of y.

We substitute in (2). [Can be substituted in any equation].

We get: y = 2x - 1

$ \imples y = 2\bigg(\frac{-2}{3}\bigg) - 1 $

$ \implies -\frac{4}{3} - 1 $

$ \implies y = -\frac{7}{3} $

So, we get the corresponding values of x and y which is the solution of the two equations.

4 0
3 years ago
Find value of p in..6p-1/3(p+1)=8(p+1/32​
puteri [66]

The answer is,

p =  -  \frac{1}{4}

6 0
3 years ago
A hose fills a hot tub at a rate of 4.26 gallons per minute. How many hours will it take to fill a 265-gallon hot tub?
Studentka2010 [4]

Answer: Divide the volume of the bath tub by the rate at which the hose folks the bath tub

 

Time = 251/ 4.86

 

= 51.64 hours

Step-by-step explanation:

7 0
2 years ago
Which one is<br> It please help .
denis-greek [22]

Answer:

One

Step-by-step explanation:

A, B, R and C lie on the same plane, while the others do not

5 0
3 years ago
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