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ElenaW [278]
3 years ago
7

Solve. 4x – 2(–2x – 3) = 10x A. –8 B. 3 C. no solution D. all real numbers

Mathematics
1 answer:
damaskus [11]3 years ago
6 0

Answer:

A.

Step-by-step explanation:

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Ket [755]

4[sin(x)]^2 - 2 = 0\implies 4[sin(x)]^2=2\implies [sin(x)]^2=\cfrac{2}{4}\implies [sin(x)]^2=\cfrac{1}{2} \\\\\\ sin(x)=\pm\sqrt{\cfrac{1}{2}}\implies sin^{-1}[sin(x)]=sin^{-1}\left( \pm\sqrt{\cfrac{1}{2}} \right)\implies x=sin^{-1}\left( \pm\sqrt{\cfrac{1}{2}} \right)

x=sin^{-1}\left( \pm\cfrac{\sqrt{1}}{\sqrt{2}} \right)\implies x=sin^{-1}\left( \pm\cfrac{1}{\sqrt{2}} \right)\implies x=sin^{-1}\left( \pm\cfrac{\sqrt{2}}{2} \right) \\\\[-0.35em] ~\dotfill\\\\ ~\hfill x=\cfrac{\pi }{4}~~,~~\cfrac{3\pi }{4}~~,~~\cfrac{5\pi }{4}~~,~~\cfrac{7\pi }{4}~\hfill

Check the picture below.

4 0
2 years ago
Does x equal if the problem is negative x -4x - 7 equals 5 negative 2X
Sphinxa [80]

Answer:

X = - 4

Step-by-step explanation:

Given in problem

- x -4x - 7 = 5 -2x

Or, -5x - 7 = 5- 2x

Or, -5x + 2x = 5 + 7

Or, -3x = 12

Or, x = - \frac{12}{3}

∴ X = - 4    Answer

6 0
3 years ago
Which function has the same y-intercept as the function y equals 2/3 x - 3​
aleksley [76]

We have the function y = \frac{2}{3} x -3 and we want to find a function that has the same y-intercept than the previous function.

First, let's find the y-intercept by subtituting 0 for 'x'.

y = \frac{2}{3} (0) -3 = -3

Now that we found that y-intercept =-3, any lineal function of the type: y = ax - 3 will have the same y-intercept. Where 'a' can take all the real values.

Also, any quadratic function of the type: y=ax^{2} + bx - 3 will have the same y-intercept. Where 'a' and 'b' can take all the real values.

6 0
3 years ago
What percent is 88 of 106?Show your work.
77julia77 [94]
88/106 x 100
.830188679 x 100
83.02%

3 0
3 years ago
Read 2 more answers
Question 2 (1 point) Lin knows there are 4 quarts in a gallon. She wants to convert 6 quarts to gallons, but she cannot decide i
elixir [45]

Answer:

multiply

Step-by-step explanation:

7 0
3 years ago
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