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loris [4]
3 years ago
5

8/5 ( 2x + 13 ) - 3 = 22

Mathematics
1 answer:
Alona [7]3 years ago
5 0

Answer:

x =  \frac{21}{16} = 1 5/16

[/tex] 1 \frac{5}{16}[/tex]

Step-by-step explanation:

\frac{8}{5} (2x + 13) - 3 = 22

Expand

\frac{16}{5} x +  \frac{104}{5}  - 3 = 22 \\  \frac{16}{5} x +  \frac{89}{5}  = 2

Collect like terms and simplify

\frac{16}{5} x = 22 -  \frac{89}{5}  \\  \frac{16}{5} x =  \frac{21}{5}

Cross Multiply

80x = 105

Divide both sides of the equation by 80

\frac{80x}{80}  =  \frac{105}{80}  \\ x =  \frac{21}{16}

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In January, Music Marathon priced all the compact discs (CD’s) at $20. In February, these same CD’s were discounted 50% and in M
skad [1K]

Answer:I think it would be $9

Step-by-step explanation:

50% of 20 is $10

10% of $10 is $1

Subtract 1 from 10, which gives you $9

3 0
3 years ago
Please help need it asap
Marina86 [1]

Answer:

what

Step-by-step explanation:

what

8 0
2 years ago
If f(x) =-2+8 and g(x) = square root of x+9 which statement is true
lidiya [134]

The statement that -6 is in the domain of f(g(x)) is true

<h3>Complete question</h3>

If f(x) = -2x + 8 and g(x) = \sqrt{x + 9, which statement is true?

  • -6 is in the domain of f(g(x))
  • -6 is not in the domain of f(g(x))

<h3>How to determine the true statement?</h3>

We have:

f(x) = -2x + 8

g(x) = \sqrt{x + 9

Start by calculating the function f(g(x)) using:

f(g(x)) = -2g(x) + 8

Substitute g(x) = \sqrt{x + 9

f(g(x)) = -2\sqrt{x + 9} + 8

Set the radicand to at least 0

x + 9 \ge 0

Subtract 9 from both sides

x \ge -9

This means that the domain of f(g(x)) are real numbers greater than or equal to -9. i.e. -9, -8, -7, -6, ...........

Hence, the statement that -6 is in the domain of f(g(x)) is true

Read more about domain at:

brainly.com/question/24539784

#SPJ1

3 0
1 year ago
A car went 64 miles on 2 gallons of gas in the morning, 16 miles on 1/2 gallon of gas at noon, and 32 miles on 1 gallon of gas a
Marina86 [1]

Answer:

Yes,

Step-by-step explanation:

You take 64 miles for 2 gallons and divide it by 2. And it leads up to 32 miles and 1 gallon. Now you divide that by 2 again and get 16 miles and 1/2 gallon. So, to check that you can take 16+16 and you get 32 and take 32+32 and you get 64.

7 0
2 years ago
What is the slope of the line created by this equation?<br> y-6 = -3(x--8)<br> Help!
aliya0001 [1]

Rewrite the equation in slope intercept form:

Y -6 = -3(x - -8)

Use the distributive property on the right side first:

Y -6 = -3x -24

Add 6 to both sides

Y = -3x -18

The slope is the number in front of the x variable.

Slope = -3

4 0
2 years ago
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