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svet-max [94.6K]
3 years ago
7

Given the equation 4x + 7 = 3(2x − 5), solve for the variable. Explain each step and justify your process.

Mathematics
1 answer:
Llana [10]3 years ago
6 0

Sam's solution is incorrect. the correct answer is x=3


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The function f(x) = 2x + 510 represents the number of calories burned when exercising, where x is the number of hours spent exer
riadik2000 [5.3K]

Answer: 789 calories burned while combining diet with 2 hours of exercise

Step-by-step explanation:

we have that

f(x)=2x+510

g(x)=200x-125

we know that

(f+g)(x)=f(x)+g(x)

substitute

(f+g)(x)=2x+510+200x-125

(f+g)(x)=202x+385

Find (f+g)(2)

For x=2 hours

substitute

(f+g)(2)=202(2)+385

(f+g)(2)=789\ calories

therefore

The answer is

789 calories burned while combining diet with 2 hours of exercise

8 0
3 years ago
8n+?=0<br> plz solve i will mark brainliest
Ksivusya [100]

Answer:

negative 8

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20-%20%284x%20-%2015%29%20%5Cgeqslant%20-%209%283%20%2B%20x%29" id="TexFormula1" title=" - (4
Kay [80]

- (4x - 15) \geqslant  - 9(3 + x) \\  - 4x + 15 \geqslant  - 27 - 9x \\  - 4x + 9x \geqslant  - 27 - 15 \\ 5x \geqslant  - 42 \\ x \geqslant  - 8 \dfrac{2}{5}


21 + x > 2( - 2 - 5x) + 6x \\ 21 + x >  - 4 - 10x + 6x \\ x + 10x - 6x >  - 4 - 21 \\ 5x >  - 25 \\ x >  - 5

Hope this helps. - M
5 0
2 years ago
Graph f(x)=2x+1 and g(x)=−x+7 on the same coordinate plane.
Tamiku [17]

Answer:

x = 2

Step-by-step explanation:

To solve the equation, you need to set both functions equal to each other and simplify to find the value of "x".

f(x) = 2x + 1

g(x) = -x + 7

f(x) = g(x)                                              <----- Given equation

2x + 1 = -x + 7                                      <----- Insert functions

3x + 1 = 7                                             <----- Add "x" to both sides

3x = 6                                                  <----- Subtract 1 from both sides

x = 2                                                    <----- Divide both sides by 3

8 0
1 year ago
American Airlines flights from Dallas to Chicago are on-time 80% of the time. Suppose 15 flights are randomly selected, and the
Blababa [14]

Answer:

about 8 flights

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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