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3 years ago

Find the inverse of y=1/2x+6

Mathematics

1 answer:

Komok [63]3 years ago

3 0

Answer:

$y = 2x - 12$

Step-by-step explanation:

We want to find the inverse of

$y = \frac{1}{2}x + 6$

We interchange x and y.

$x = \frac{1}{2}y + 6$

We need to solve for y, so let us multiply through by 2.

$2x = y + 12$

Subtract 6 from both sides.

$y = 2x - 12$

Therefore the required inverse is

$y = 2x - 12$

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The miles-per-gallon obtained by the 1995 model Z cars is normally distributed with a mean of 22 miles-per-gallon and a standard

AlekseyPX

Answer:

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Step-by-step explanation:

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3 years ago

Is 2/3(3/4x-3/2) equal to 1/2x -1

ziro4ka [17]

Answer:

Step-by-step explanation:

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3 years ago

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Can someone show me how to factor this please?

Alex_Xolod [135]

Answer:

$\displaystyle \theta = \left\{\frac{7\pi}{6}, \, \frac{3\pi}{2}, \frac{11\pi}{6}\right\}$

Step-by-step explanation:

We want to solve the equation:

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In the interval [0, 2π).

Notice that this is in quadratic form. Namely, by letting u = sin(θ), we acquire:

$\displaystyle 2u^2 + 3u + 1 = 0$

Factor:

$\displaystyle (2u+1)(u+1) = 0$

By the Zero Product Property:

$\displaystyle 2u + 1 = 0\text{ or } u + 1 = 0$

Solve for each case:

$\displaystyle u = -\frac{1}{2} \text{ or } u = -1$

Back-substitute:

$\displaystyle \sin \theta = -\frac{1}{2} \text{ or } \sin \theta =-1$

Use the Unit Circle. Hence, our three solutions in the interval [0, 2π) are:

$\displaystyle \theta = \left\{\frac{7\pi}{6}, \, \frac{3\pi}{2}, \frac{11\pi}{6}\right\}$

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3 years ago

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Sunny_sXe [5.5K]

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3 years ago

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Simplify -2(-4x + 5)

Bingel [31]

Answer:

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2 years ago