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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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4 years ago
Use formula A=P(1+RT) to calculate the maturity value of the simple interest loan round to two decimal places.
kirill [66]

Answer:

$20,160

Step-by-step explanation:

They don't have a <em>year </em>to pay it back. They have <em>four </em>months so you just use that as time.

Write the equation

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( ) first.

0.086 x 4 = 0.344

rewrite.

A = 15,000 x (1 + 0.344)

( ) again.

1 + 0.344 = 1.344

rewrite

15,000 x 1.344 = 20,160

Hope this helped! Please mark as brainliest! thanks!

7 0
3 years ago
Which expression shows the result of applying the distributive property to 7(x + 1 Which expression shows the result of applying
Lunna [17]

Answer:7 + 11x

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3 0
2 years ago
Geraldo has 3 fewer marbles than Yan. Together, they have 21 marbles. Which equation
EleoNora [17]

Answer:

geraldo has 9 marbles and yan has 12

Step-by-step explanation:

x + (x-3) = 21

x + x - 3 = 21

2 x - 3 = 21

Explanation:

In this problem, let us first analyze the situation. It says here that Geraldo and Yan both had marbles of their own. The problem states that together, they have a total of 21 marbles. However, we know here from the problem that they have different number of marbles each. Geraldo seems to have lesser number of marbles than Yan. Yan have three marbles more than Geraldo.

We can write the equation starting from assigning the unknown.

We'll use x.

x is the number of marbles that Yan have.

if x is Yan's, then, we can say that x-3 is Geraldo's.

Put them together into the equation.

Yan's plus Geraldo's is equal to 21.

Substitute using the represented unknowns.

x + (x-3) = 21.

In solving, we can also rule out that:

x + x - 3 = 21

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2 x = 21 + 3

2 x = 24

x = 12

x - 3 = 9

Yan has 12 marbles

and Geraldo has 9 marbles.

3 0
3 years ago
Jenna earns $8.75 per hour working at the mall. If Jenna worked hours 20 1/5 last week, how much did she earn before taxes were
Elena-2011 [213]
To find out the amount Jenna earns, you need to multiply how much she earns per hour by the amount of hours she works for.

If she earns $8.75 for 1 hour, and works for 20 1/5 hours, she'll earn:
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Jenna earns $176.75 before tax.
7 0
3 years ago
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