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AleksandrR [38]
3 years ago
15

Of two consecutive integers, twice the smaller is four less than the greater. Find the integers. Provide and equation if you don

't have a direct answer.
Mathematics
1 answer:
iren [92.7K]3 years ago
3 0

Answer:

<em>The smaller integer is -3 and the greater integer is -2</em>

Step-by-step explanation:

<u>Equations</u>

Let's call

x = the smaller integer

x + 1 = greater consecutive integer

The relationship between them is that twice the smaller is four less than the greater:

2x = x + 1 - 4

Subtracting x:

x = 1 - 4

Operating:

x = -3

x + 1 = -2

The smaller integer is -3 and the greater integer is -2

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Triangle ABC and triangle CFG are similar right triangles. Which proportion can be used to show that the slope of AC is equal to
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Answer:

C

Step-by-step explanation:

proportion can be used to show that the slope of AC is equal to the slope of CG

Slope of AC = (2-0)/(3-0) = 2/3

Slope of CG = (6-2)/(9 -3) = 2/3

So answer is :

C)

      2 − 0        6 − 2

   ------------ =  -----------

      3 − 0         9 − 3

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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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