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ale4655 [162]
2 years ago
6

Find the difference: (20x + 3) - (7x - 5) *

Mathematics
1 answer:
OlgaM077 [116]2 years ago
3 0

Answer:

27x - 2

Step-by-step explanation:

First off, we use commutative property to get the like terms together.

(20x + 7x) - (3-5)

Now we can solve the equations inside the parenthesis.

27x - (-2)

Because these aren't like terms, this is as far as we can go. Meaning 27x - 2

is out answer.

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Y= 15x + 100

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3 years ago
A positive real number is 2 less than another. When 4 times the larger is added to the square of the smaller, the result is 49.
Kobotan [32]

Answer:

The numbers are

-2+3\sqrt{5}   and 3\sqrt{5}

Step-by-step explanation:

Let

x -----> the smaller positive real number

y -----> the larger positive real number

we know that

A positive real number is 2 less than another

so

x=y-2

y=x+2 ----> equation A

When 4 times the larger is added to the square of the smaller, the result is 49

so

4y+x^2=49 ----> equation B

substitute equation A in equation B

4(x+2)+x^2=49

solve for x

x^2+4x-41=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^2+4x-41=0

so

a=1\\b=4\\c=-41

substitute in the formula

x=\frac{-4\pm\sqrt{4^{2}-4(1)(-41)}} {2(1)}

x=\frac{-4\pm\sqrt{180}} {2}

x=\frac{-4\pm6\sqrt{5}} {2}

x=-2\pm3\sqrt{5}

so

The positive real number is

x=-2+3\sqrt{5}

Find the value of y

y=x+2

y=-2+3\sqrt{5}+2

y=3\sqrt{5}

6 0
3 years ago
What is the solution to the system of equations?
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Does it tell you what process to use
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3 years ago
What is 959.4 divided by 6​
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at a conference of 250 people, 30% of the participants are french, 35% are americans, 20% are germans, and the rest are of the o
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Ok...we got 250 people
30% are French, 35% are Americans, 20% are Germans....thats 85%.
This means 15% are from other countries

3 not from other countries...
0.85 * 0.85 * 0.85 = 0.6

0.6(250) = 150 students <===
5 0
3 years ago
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