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Archy [21]
3 years ago
15

Kate has an interior decorating business. She charges a base fee of $25 for each visit and $40 per hour for her labor. 1) Write

a function rule to represent this situation for, C, the total cost and h number of hours. 2) Identify the domain and range for the situation. 3) Explain if the situation is discrete or continuous. (if there is no explanation, there will be no credit given) PLEASE I NEED FAST ILL GIVE BRAINLIEST
Mathematics
1 answer:
nataly862011 [7]3 years ago
3 0

Answer:

1) C = $25 + $40 × h

2) The domain for the ≠unction is 0 ≤ h ≤ ∞

The range for the function is 25 ≤ C ≤ ∞

3) Continuous

Step-by-step explanation:

1) The given parameters are;

The base fee charged = $25

The amount charged for labor = $40/hour

The total cost for h number of hours is C = $25 + $40 × h

2) The domain for the ≠unction is 0 ≤ h ≤ ∞

The range for the function is 25 ≤ C ≤ ∞

3) The situation is continuous because the different input values of h can be infinite (from o to infinity)

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Step-by-step explanation:

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3 years ago
What is the length of a diagonal of a cube with a side length of 8 inches?
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Answer:

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Step-by-step explanation:

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8 0
3 years ago
Read 2 more answers
An equilateral triangle has an apothem of 5 cm. Find the perimeter of the triangle to the nearest centimeter.
Dennis_Churaev [7]
The apothem is the distance from which the altitudes of the triangle to one of its sides. It can be calculated through the equation below,
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4 0
3 years ago
System of equations 9x+8y=-19 ; 7x+9y=-12
klasskru [66]

Answer:

(-3,1)

Step-by-step explanation:

9x+8y=-19

7x+9y=-12

I'll assume the question is to find the solution to these equations.  The solution will be the point (x,y) where the two lines intersect.  The intersection is the one point that satisfies both equations (the smae value of (x,y) works in both.

We can either solve matematically of graph to find the intersection.  I'll do both, and hope the answers are identical.

<u>Matematically</u>

Rearrange either equation to isolate one of the variables (either x or y).  I'll take the second and isolate x:

7x+9y=-12

7x = -9y - 12

x = (-9y - 12)/7

Now use this definition of x in the other equation:

9x+8y=-19

9((-9y - 12)/7) + 8y = -19

(-81y - 108)/7 + 8y = -19

-81y - 108 + 56y = - 133

-25y = -25

<u>y = 1</u>

If y = 1, then:

9x+8y=-19

9x+8(1)=-19

9x = -27

<u>x = -3</u>

<u></u>

<u>The solution is (-3,1)</u>

<u>Graphing</u>

<u></u>

Graph both lines and look for the intersection.  The attached graph shows the lines cross at (-3,1).

The solution, bu both approachjes, is (-3,1)

6 0
2 years ago
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