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gulaghasi [49]
2 years ago
15

Carlie runs two different business. She needs to pay $100 for materials, and pay her associates $12 per hour for her childcare b

usiness. And for her lawn care business, she has to pay $275 for materials, and pays her associates $10 per hour.
Write two functions, C(x) and L(x) to represent the amount of money she will need to run her childcare business and her lawn care business.

C(x)=
L(x)=

PLSSSS HEP
Mathematics
1 answer:
V125BC [204]2 years ago
8 0

Answer:

C(x) = 100 + 12x

L(x) = 275 + 10x

Step-by-step explanation:

Let x = no. of hours

C(x) = 100 + 12x

L(x) = 275 + 10x

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The hypotenuse of a right triangle is 50 and the short leg is 30, find the projection of the leg onto the hypotenuse
gladu [14]
Consider the attached figure. All the triangles shown are similar, so

CB/CA = CD/CB
30/50 = projection/30
projection = 30^2/50
projection = 18

6 0
2 years ago
Ellie completed an algebraic proof to show that V12 + V108 = 8 - 31.
lorasvet [3.4K]

Answer:

The answer to your question is given below.

Step-by-step explanation:

To know the correct answer to the question, do the following:

√12 + √108

= 12^½ + 108^½

= 4^½ • 3^½ + 36^½ • 3^½

Factorise

3^½ (4^½ + 36^½)

Recall:

4^½ = √4 = 2

36^½ = √36 = 6

Therefore,

3^½ (4^½ + 36^½) = 3^½ (2 + 6)

= 3^½ • 8

8 0
2 years ago
Find the equation of the line below if necessary use the slash (/) to indicate a division bar (2,6)(1,3)
777dan777 [17]
Given that the line passes through points:
(2,6), (1,3)
the equation will be given by:
m(x-x1)=y-y1
where
slope, m=(y-y1)/(x-x1)
from the points given:
m=(6-3)/(2-1)=3/1=3
thus the equation will be given by:
using point (1,3)
3(x-1)=y-3
3x-3=y-3
hence
y=3x-3+3
y=3x
Answer: y=3x
7 0
2 years ago
What is the relationship between two lines whose slopes are −8 and 1 8 ?
zavuch27 [327]

Answer:

They are perpendicular lines

Step-by-step explanation:

If one line has slope -8 and the other one has slope 1/8, they must be perpendicular to each other because the condition for perpendicular lines is that the slope of one must be the "opposite of the reciprocal of the slope of the original line."

the opposite of -8 is 8 , and the reciprocal of this is 1/8

5 0
2 years ago
Read 2 more answers
Both copy machines reduce the dimensions of images that are run through the machines. Which
leonid [27]

<u>Answer:</u>

<u>As the number of copies increases The dimension of images continues to decrease until reaching 0. </u>

<u>Step-by-step explanation:</u>

Remember, that the term dimension refers not to an unlimited/unending length but to a specific measurable length.

Therefore, as both copy machines reduces the dimensions of images that are run through the machines over time the dimensions of images would decrease until reaching 0; Implying that the dimension is so small to be invisible, in a sense becoming 0.

3 0
2 years ago
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