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vlabodo [156]
3 years ago
8

For what values of x will make the following statement true?

Mathematics
1 answer:
Serhud [2]3 years ago
5 0

The value of x that will make the statement true is 1

Step-by-step explanation:

The given is:

  • f(x) = x - 4
  • g(x) = 2x + 3

We need to find the value of x which makes [f(x) + 2g(x)] = 7

∵ f(x) = x - 4

∵ g(x) = 2x + 3

∵ f(x) + 2g(x) = 7

- Multiply g(x) by 2

∵ 2g(x) = 2(2x + 3) = 2(2x) + 2(3) = 4x + 6

∴ 2g(x) = 4x + 6

∵ f(x) + 2g(x) = 7

∴ (x - 4) + (4x + 6) = 7

- Add the like terms in the left hand side

∴ (x + 4x) + (-4 + 6) = 7

∴ 5x + 2 = 7

- Subtract 2 from both sides

∴ 5x = 5

- Divide both sides by 5

∴ x = 1

The value of x that will make the statement true is 1

Learn more:

You can learn more about the equations in brainly.com/question/1284310

#LearnwithBrainly

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Identify the terms and like terms in the expression 14 – 8x– 6 - 10x.
grin007 [14]

Answer:

Like terms are similar and terms are different.

Like terms :-

  • -10
  • 14
  • -6

They are similar.

Terms :-

  • -8x²
  • -10x

One has an exponent and other does not which means they are not like terms and are only terms.

Hope this helps, thank you :) !!

4 0
3 years ago
In a village the number of houses and the number of flats are in the ratio 7 : 4 the number of flats and the number of bungalows
LenaWriter [7]

Answer:

  140

Step-by-step explanation:

We can find the number of houses from ...

  # houses = (houses/flats)(flats/bungalows)(# bungalows)

  = (7/4)(8/5)(50)

  # houses = 140

4 0
3 years ago
9x2 - 6xy<br> Factorise Fully
tamaranim1 [39]
Remember distributive property, but reverse it
ab-ac=a(b-c)
a is a common factor


find common factors
factor each
9x^2=3*3*x*x
6xy=2*3*x*y
common factor is 3*x or 3x

9x^2-6xy=3x(3x)-3x(2y)=3x(3x-2y)

factored form is 3x(3x-2y)
4 0
3 years ago
3a−15=4a−3a I NEED HELP WITH THIS ASAP PLZ!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
GaryK [48]

Answer:

a = 15/2

Step-by-step explanation:

3a−15=4a−3a

Combine like terms

3a - 15 = a

Subtract 3a from each side

3a-3a−15=a−3a

-15 = -2a

Divide each side by -2

-15/-2 = -2a/-2

15/2 =a

8 0
4 years ago
Read 2 more answers
Use inductive reasoning to predict the next line in this sequence of computations. Then
AysviL [449]

The computation show that the next number based on the information will be 588886.

<h3>How to compute the value?</h3>

From the information given, the numbers are illustrated as:

2x9-2=16

32x9-2=286

432x9-2=3886

5432x9-2=4888

It should be noted that the next number will be:

(65432 × 9) - 2

= 588888 - 2

= 588886

Therefore, it can be seen that the next number based on the information is 588886.

Learn more about computations on:

brainly.com/question/4658834

#SPJ1

7 0
2 years ago
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