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ElenaW [278]
3 years ago
11

What is the first step to solve the equation x^2-3=15​

Mathematics
2 answers:
Otrada [13]3 years ago
6 0

You will need to add 3 to each side.

x^2-3=15

    +3   +3

x^2=12

and go from there

Vanyuwa [196]3 years ago
5 0

Answer:

<h2>C. Add 3 to both sides of the equation.</h2>

Step-by-step explanation:

x^2-3=15\qquad\text{add 3 to both sides of the equation}\\\\x^2-3+3=15+3\\\\x^2=15\to x=\pm\sqrt{15}

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Is -80 a real rational irrational integer whole natural number?
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Which equation represents a linear function<br>a) y=-x^2<br>b)y=x^2<br>c)y=4×<br>d)y=5x^3​
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3 years ago
A chemist has two alloys, one of which is 15% gold and 20% lead and the other which is 30% gold and 50% lead. How many grams of
vlabodo [156]

Answer: 490 grams of the first alloy should be used.

30 grams of the second alloy should be used.

Step-by-step explanation:

Let x represent the weight of the first alloy in grams that should be used.

Let y represent the weight of the second alloy in grams that should be used.

A chemist has two alloys, one of which is 15% gold and 20% lead. This means that the amount of gold and lead in the first alloy is

0.15x and 0.2x

The second alloy contains 30% gold and 50% lead. This means that the amount of gold and lead in the second alloy is

0.3y and 0.5y

If the alloy to be made contains 82.5 g of gold, it means that

0.15x + 0.3y = 82.5 - - - - - - - - - - - -1

The second alloy would also contain 113 g of lead. This means that

0.2x + 0.5y = 113 - - - - - - - - - - - - -2

Multiplying equation 1 by 0.2 and equation 2 by 0.15, it becomes

0.03x + 0.06y = 16.5

0.03x + 0.075y = 16.95

Subtracting, it becomes

- 0.015y = - 0.45

y = - 0.45/- 0.015

y = 30

Substituting y = 30 into equation 1, it becomes

0.15x + 0.3 × 30 = 82.5

0.15x + 9 = 82.5

0.15x = 82.5 - 9 = 73.5

x = 73.5/0.15

x = 490

6 0
3 years ago
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