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3 years ago

Which is a solution to the equation?

Mathematics

1 answer:

Brrunno [24]3 years ago

4 0

Answer:

-7 or 4

Step-by-step explanation:

use foil to get the quadratic equation:

x^2+5x-2x-10=18

x^2+3x-10=18

bring "18" to the left:

x^2+3x-10-18

x^2+3x-28

so what*what= -28

and

what+what=3

factors of -28: -7,4 -4,7 14,-2 -14,2 -28,1 -1,28

factors whose sum is 3: 7,-4

so substitute "7,-4" in place of 3:

x^2+7x-4x-28

2) split it in two groups

group 1) x^2+7x

group 2) -4x-28

x^2+7x has a GCF of "x"

x(x+7)

group 2) -4x-28 has a gcf of "-4"

-4(x+7)

3) (x-4) (x+7)=0

x-4=0

x=4

x+7=0

x=-7

x=4,-7

Hope this helps!

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Factor 3/4 out of 3/4z + 6

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ANSWER

$\frac{3}{4} z + 6 = \frac{3}{4} (z + 8 )$

EXPLANATION

We want to factor
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out of

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The first term is already having a factor of
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The constant term which is the second term is not having a factor of
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so we need to use a trick of multiplying and dividing by the same factor to obtain,

$\frac{3}{4} z + 6 = \frac{3}{4} z + \frac{3}{4} \times \frac{6}{ \frac{3}{4} }$

We can now factor
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$\frac{3}{4} z + 6 = \frac{3}{4} (z + \frac{6}{ \frac{3}{4} } )$
Let us rewrite the right most fraction using the normal division symbol.

$\frac{3}{4} z + 6 = \frac{3}{4} (z + 6 \div \frac{3}{4} )$

We simplify to obtain,

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This further gives us,

$\frac{3}{4} z + 6 = \frac{3}{4} (z + 2 \times 4 )$

$\frac{3}{4} z + 6 = \frac{3}{4} (z + 8 )$

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Which set of population data is the least dispersed from its mean? 2, 3, 2, 9 4, 0, 4, 0 6, 2, 2, 2 9, 3, 5, 3.

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To know more about mean follow

brainly.com/question/1136789

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