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4 years ago

What is the value of the x variable in the solution to the following system of equations?

2 answers:

8 0

Multiply the bottom equation by 2 and you'll get

4x + 2y = 12
2x - 2y = 6

Then combine the two equations and the y's will cancel out and you'll get

6x = 18

Divide by 6.

x = 3

Tems11 [23]4 years ago

5 0

4x+2y = 12
x+ y = 3
Times the bottom one by -2
4x+2y=12
2x-2y=-6
Cancel out the 2y and -2y and add 4x and 2x, 12 and -6 together
6x=6
divide by 6 for x
x=1
your answer is 1

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To determine the inverse of function f,

lisabon 2012 [21]

Answer:

To determine the inverse of function f, change f(x) to y, switch x and y, and solve for y.

$\frac{1}{8} (x-4)^3$

Step-by-step explanation:

f(x) = $\sqrt[3]{8x} +4$

Change f(x) to y: y = $\sqrt[3]{8x} +4$

Switch x and y: x = $\sqrt[3]{8y} +4$

Solving for y: x - 4 = $\sqrt[3]{8y}$

(x-4)^3 = 8y

y = $\frac{1}{8}$ $(x-4)^3$

Therefore: inverse of function f = $\frac{1}{8} (x-4)^3$

3 0

3 years ago

What is the value of x in this triangle? Enter your answer as a decimal in the box. Round only your final answer to the nearest

kow [346]

Answer:

14.04°

Step-by-step explanation:

In this right triangle, we're seeking the measurement of an angle at the base of the triangle and we have the measurements of two of the sides (none are the hypotenuse) : the opposite one of the angle and the adjacent side.

The relationship between the two sides we have the measurement and the angle we are looking for is the tangent:

$tan(\alpha) = \frac{a}{b} = \frac{5}{20} = 0.25$

To find the angle we do an arctan on 0.25 and we get an angle of 14.04 degrees.

4 0

4 years ago

At a special sale, all pens are sold at one price and all pencils at another price.If 3 pens and 2 pencils are sold for 47 cents

mezya [45]

3 pen + 2 pencil = .47
2 pen + 3 pencil = .38

2(3pen + 2 pencil = .47)
-3(2pen + 3 pencil = .38)

6 pen + 4 pencil = .94
-6 pen - 9 pencil = -1.14
- 5 pencil = -.2
pencil = .04

3pen + 2(.04) = .47
3pen + .08 = .47
3 pen + .08 - .08 = .47 -.08
3 pen = .39
pen = .13

Pen = 13 cents and pencil = 4 cents

4 0

3 years ago

Shawn said that in standard notation,

insens350 [35]

Answer:

Shawn is incorrect.

Step-by-step explanation:

The decimal is moving 7 places to the right. The 2 is the third digit, so there will be 4 0s after it.

3 0

3 years ago

Create an equivalent expression without parentheses <br><br> -2(3x+4)

Sindrei [870]

Answer:

-6x - 8

Step-by-step explanation:

-2(3x+4) = -6x - 8

this means the -6x - 8 is equivalent

4 0

3 years ago