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White raven [17]
2 years ago
10

Which of the following is a proportional relationship? y = 8x

Mathematics
1 answer:
Elenna [48]2 years ago
8 0

Comparing to it's standard form, that is, of a monomial, a proportional relationship is given by:

y = 8x.

<h3>What is a proportional relationship?</h3>

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

From the above standard form, it is found that a proportional relationship is a monomial going through (0,0), hence one example is given by:

y = 8x.

More can be learned about proportional relationships at brainly.com/question/10424180

#SPJ1

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Step-by-step explanation:

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3 years ago
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Isabelle has $1520 in her bank account and makes automatic $760 monthly payments on a home loan. If she stops making deposits to
Leto [7]

Answer:

After 2 months

Step-by-step explanation:

Isabelle has $1520 in her bank account and she makes automatic $760 monthly payments on a home loan.

If she stops making deposits to that account, then a monthly $760 will be deducted from her account.  

After 1 month the balance in her account will become $[ 1520 - 760 ] = $760 and then after 2 months the balance will become $[ 760 - 760 ] = $0

Therefore, after 2 months her account will have zero balance. (Answer)

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4 years ago
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$252.5

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6 0
3 years ago
Type the correct answer in each box
Luba_88 [7]

Answer:

We know that the equation of the circle in standard form is equal to <em>(x-h)² + (y-k)² = r²</em> where (h,k) is the center of the circle and r is the radius of the circle.

We have x² + y² + 8x + 22y + 37 = 0, let's get to the standard form :

1 - We first group terms with the same variable :

(x²+8x) + (y²+22y) + 37 = 0

2 - We then move the constant to the opposite side of the equation (don't forget to change the sign !)

(x²+8x) + (y²+22y) = - 37

3 - Do you recall the quadratic identities ? (a+b)² = a² + 2ab + b². Now that's what we are trying to find. We call this process <u><em>"completing the square"</em></u>.

x²+8x = (x²+8x + 4²) - 4² = (x+4)² - 4²

y²+22y = (y²+22y+11²)-11² = (y+11)²-11²

4 - We plug the new values inside our equation :

(x+4)² - 4² + (y+22)² - 11² = -37

(x+4)² + (y+22)² = -37+4²+11²

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5 - We re-write in standard form :

(x-(-4)²)² + (y - (-22))² = 10²

And now it is easy to identify h and k, h = -4 and k = - 22 and the radius r equal 10. You can now complete the sentence :)

5 0
3 years ago
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Answer:

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Step-by-step explanation:

Starting with 547120, move the decimal point one place to the left, obtaining 54712.  (Matches last answer choice)

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