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Serggg [28]
3 years ago
12

Write in point-slope form an equation of the line that passes through the point (−2,4) with slope −12.

Mathematics
1 answer:
alexgriva [62]3 years ago
7 0

Answer: y - 4 = -12 ( x + 2)

Step-by-step explanation:

The equation of a line in point - slope form is given as :

y-y_{1} = m(x-x_{1} )

Where m is the slope and (x_{1} , y_{1}) is the given point

substituting the values into the formula , we have:

y - 4 = -12 ( x - {-2})

y - 4 = -12 ( x + 2)

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Ten times a number a added to three times a second number b divided by a third number c.​
pentagon [3]

Answer:

10a+3b÷c/3

Step-by-step explanation:

let the first number be a

second be b

third be c

10×a +3×b ÷c÷3

10a+3b÷c/3

=10a+3b÷c/3

5 0
3 years ago
(F x G)(x)<br> F(G(x))<br> G[F(x)]<br> F[G(x)]<br> G(F(x))
pentagon [3]

The results of the composite functions are:

  • (f \times g)(x) = 6x^2-9x
  • f(g(x)) = 6x - 3
  • g(f(x)) = 6x - 9

<h3>What are composite functions?</h3>

Composite functions are functions that are obtained by combining two or more functions together

Assume that:

  • f(x) = 2x - 3
  • g(x) = 3x

Then the computation of the composite functions are as follows:

<h3>Function (f * g)(x)</h3>

(f \times g)(x) = f(x) \times g(x)

(f \times g)(x) = (2x-3) \times (3x)

(f \times g)(x) = 6x^2-9x

<h3>Function f(g(x))</h3>

We have: f(x) = 2x - 3

This gives

f(g(x)) = 2g(x) - 3

So, we have:

f(g(x)) = 2(3x) - 3

f(g(x)) = 6x - 3

<h3>Function g(f(x))</h3>

We have: g(x) = 3x

This gives

g(f(x)) = 3f(x)

So, we have:

g(f(x)) = 3(2x - 3)

g(f(x)) = 6x - 9

Read more about composite functions at:

brainly.com/question/10687170

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2 years ago
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7 0
3 years ago
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The rule (x, 3/4y) is applied to a polygon. Is the image similar to the original polygon? Explain.
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Yes.  The new polygon is 3/4 the size of the old one.
5 0
3 years ago
It takes 1 cup of sugar to make 12 bran muffins.How many cups of sugar are needed to make 15 muffins? How do you know?
ohaa [14]
Well if we look at it this way, 12 divided by 4 equals 3 and 3 times 5 equals 15, so 1 cup divided in to four is one fourth cup. So your Answer is one fourth a cup.

ANSWER 1/4 Cup
6 0
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