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Makovka662 [10]
3 years ago
11

5x-3y=-11 x-2y=2 this is for home work please help

Mathematics
1 answer:
ale4655 [162]3 years ago
8 0
5x - 3y = 11 ⇒ 5x - 3y = 11  ⇒   5x - 3y = 11
  x - 2y = 2   ⇒ -5(x - 3y) = 2 ⇒ <u>-5x + 15y = 2</u>
                                                           <u>12y</u> = <u>13</u>
                                                            12     12
                                                             y = 1 1/12
                                                 5x - 3(1 1/12) = 11
                                                 5x - 3 1/4 = 11
                                                <u>      +3 1/4    +3 1/4</u>
                                                            <u> 5x</u> = <u>14 1/4</u>
                                                              5          5
                                                               x = 2 17/20
                                                 (x, y) = (2 17/20, 1 1/12)
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Give the domain and range of the relation.<br> y=(x+4)^2-4
Westkost [7]

Answer:

The domain is the interval  (-∞,∞)

The range is the interval [-4,∞)

Step-by-step explanation:

we have

y=(x+4)^2-4

This is the equation of a vertical parabola in vertex form

The vertex is the point (-4,-4)

The parabola open upward (because the leading coefficient is positive)

The vertex represent a minimum

The domain is the interval  (-∞,∞)

so

The domain is all real numbers

The range is the interval [-4,∞)

y\geq -4

so

The range is all real numbers greater than or equal to -4

7 0
3 years ago
How can an insurance company make a profit by taking in premiums and making payouts? The value of the premiums the company takes
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7 0
3 years ago
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Calculate the perimeter if the value of x is 5.
IceJOKER [234]
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Perimeter of Isosceles Triangle = 2x + 8
                                                  = 2(5) + 8
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PLEASE HELP WILL GIVE BRAINLIEST!!!
zepelin [54]

Answer: Choice B) Investment decreases by 3% each month

=====================================================

Explanation:

We won't use the value 2500 at all.

The base of the exponential is 0.97

Set this equal to 1+r and solve for r

1+r = 0.97

r = 0.97-1

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The negative r value indicates we have exponential decay, so the value of the investment decreases by 3% each month.

Let's say you had $100 to start off. This would mean the investment would be worth $97 after one month is up.

7 0
3 years ago
Randy, Sandy and Todd are my cousins and their combined age is 87 years. Randy is four times as old as Sandy, but Todd is actual
NISA [10]

Answer:

Randy is 48 years old

Sandy is 12 years old

Todd is 27 years old

<em></em>

Step-by-step explanation:

Given

Represent their ages with the first letters of their names:

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R = 4 * S

T = 15 + S

Required

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We'll solve the above equations using substitution method of simultaneous equations

Substitute 15 + S for T and 4 * S for R in R + S + T = 87

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4 * S + S + 15 + S = 87

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Collect Like Terms

4 S + S + S = 87 - 15

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S = 72/6

S = 12

<em>This implies that Sandy is 12 years old</em>

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R = 4 * 12

R = 48

T = 15 + 12

T = 27

<em>This implies that Randy is 48 years old and Todd is 27</em>

7 0
3 years ago
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