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2 years ago

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Mathematics

1 answer:

butalik [34]2 years ago

6 0

Answer:

Step-by-step explanation:

Put x = -8 to the formula of <em>h(x)</em>

$h(x)=\dfrac{x^2+3x}{4x+27}\\\\h(-8)=\dfrac{(-8)^2+3(-8)}{4(-8)+27}=\dfrac{64-24}{-32+27}=\dfrac{40}{-5}=-8$

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Write in equation of the line containing the points (-8,-8) and (-9,-10

myrzilka [38]

Answer:

y = 2x + 8

Step-by-step explanation:

Find the slope of a line between (-8,-8) and (-9,-10) using m = $\frac{y_2-y_1}{x_2-x_1}$ , which is the change in y over the change in x.

Substitute in the values of x and y into the equation to find slope.

$m= \frac{-10-(-8)}{-9(-8)}$

Simplify.

Simplify the numerator.

Multiply -1 by -8

$m=\frac{-10+8}{-9-(-8)}$

Add -10 and 8

$m=\frac{-2}{-9-(-8)}$

Simplify the denominator.

Multiply -1 by -8

$m=\frac{-2}{-9+8}$

Add -9 and 8.

$m=\frac{-2}{-1}$

Divide -2 by -1.

$m=2$

Using the point slope form $y-y_1=m(x-x_1)$ plug in m = 2, $x_1 = -8, y_1 = -8$

$y-(-8)=(2)(x-(-8))$

Solve for y.

Multiply -1 by -8

y + 8 = ( 2 ) ( x − ( − 8 ) )

Simplify ( 2 ) ( x − ( − 8 ) ) .

Multiply − 1 by − 8

y+8 = 2 ( x + 8 )

Apply the distributive property.

y + 8 = 2 x + 2 ⋅ 8

Multiply 2 by 8 .

y + 8 = 2x + 16

Move all terms not containing y to the right side of the equation.

Subtract 8 from both sides of the equation.

y = 2 x + 16 − 8

Subtract 8 from 16 .

y = 2 x + 8

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2 years ago

What is the total weight for each group of weight of clay lumps

Verizon [17]

Hey, me again! So, I'll be giving you the totals for EACH group.

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Do the same for this group (and all of the others) so that the answers are:
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Group 4 - 5/8lb
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3 years ago

The ratio of 600m to 3km in simplest form

never [62]

3 km = 3000m
600m:3000m divide by 10
60:300 divide by 10
6:30 divide by 3
2:10 divide 2
*1:5* (simplest form)

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3 years ago

Help??( dont forget to explain)

Setler [38]

Answer:

You can decide where to put the first digit because you know 153 doesn't fit into 6 or 61. But you know it can fit into 613. You put it there.

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