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zalisa [80]
3 years ago
13

What is the gcf of 24a^3c and 3a?

Mathematics
1 answer:
Archy [21]3 years ago
6 0
24a^3c = 3a(8a^2c)

3a = 3a(1)

\text {GCF = }3a
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Rewrite without absolute value sign for different values of x: y=− 2x+5 + 2x−5 if x<−2.5; if x>2.5; if −2.5≤x≤2.5
valentina_108 [34]

Answer:

x<-2.5 =(2x+5)-(2x-5) 2. 5-5

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Step-by-step explanation:

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3 years ago
A cafeteria serves lemonade that is made from a powdered drink mix. There is a proportional relationship between the number of s
Vitek1552 [10]

All the answers to the given parts are mentioned below -

<h3>What is the general equation of a Straight line? How it represents a proportional relationship?</h3>

The general equation of a straight line is -

[y] = [m]x + [c]

where -

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[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

y = mx also represents direct proportionality. We can write [m] as -

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We have a cafeteria serves lemonade that is made from a powdered drink mix. There is a proportional relationship between the number of scoops of powdered drink mix and the amount of water needed to make it. For every 2 scoops of mix, one-half gallon of water is needed, and for every 6 scoops of mix, one and one-half gallons of water are needed.

We can write the proportional relationship as -

y = kx

Now, from the given information, we can write -

2 scoops need 0.5 gallon of water

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So -

k = 2/0.5

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Equations that represents the relationship can be written as -

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Now, 2 scoops need 0.5 gallon of water.

2 = 4 x 1/2 + c

2 = 2 + c

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Graph of y = 4x is attached at the end.

For 10 scoops of water -

10 = 4x

x = 2.5 gallons of water is needed.

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To solve more questions on proportional relationship, visit the link below-

brainly.com/question/12917806

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5 0
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3 years ago
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