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vlabodo [156]
4 years ago
8

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

Mathematics
1 answer:
Serhud [2]4 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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zvonat [6]

Answer:

Hey there!

The answer is 6/7h=4.

This means that 6/7 of his brother's height is four feet, which is Bryce's height.

Let me know if this helps :)

4 0
3 years ago
If u = 6 feet, v = 7 feet, w = 4 feet, x = 7 feet, y = 13 feet, and z = 4 feet, what is the area of the object?
Anastaziya [24]
It depends what type of shape it is if it were a rectangle it would be l x w x h but what a see is a 6 sided figure so it should be a hexagon but a hexagon has all equal sides so it would depend what type of shape it is
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3 years ago
Which of the following is a secant on the circle below? <br>A. SU <br>B. RT <br>C. SU <br>D. UT​
Romashka-Z-Leto [24]

The secant of circle is SU and RT.

<h3>What is Secant of the Circle?</h3>

A straight line that intersects a circle in two points is called a secant line.

From the given diagram,

The line which intersects the circle at two points or an extended chord is SU and RT.

Hence, secant is SU and RT.

Learn more about secant here:

brainly.com/question/23026602

#SPJ1

7 0
3 years ago
A rope is 66 feet long. It is cut into two pieces such that one piece is half the length of the other. What is the length of the
dedylja [7]
So if one bit of the length, is half the size of the other bit then we can make the following equation, for x being the length of rope:

x + 2x = 66
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That is the length, of the smaller one (half the big one), so 2x = 44. Hence d) is your answer.

Hope I helped!
7 0
4 years ago
Read 2 more answers
The answer choices are 10, 15, 30, 35.​
AleksandrR [38]

Lets us start with finding the inner angles of the triangle. The bottom right angle shall be 70 degrees as it is opposite. The 100 degrees shall add together to make 200. 360-200 = 160. 160 / 2 = 80. So, Now we know bottom left angle (80) and bottom right (70). 80 + 70 = 150. In a triangle, angles add to 180 so 180 - 150 = 30. 30 = 2x which means that x = 15

15

5 0
3 years ago
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