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3 years ago

Can someone simplify 6(x + 3)

Mathematics

2 answers:

MakcuM [25]3 years ago

6 0

So itll be 6x+18 because you multiply 6 from each one

Rudiy273 years ago

4 0

6x+18
So that is the answer because you multiply 6 by x and 6 by 3.

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What's 75% off of 4.97

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Find the inverse function of h(x) = -2/3x + 6.

nalin [4]

Answer:

$h^{-1}(x)=-\frac{3}{2}x+9$

Step-by-step explanation:

To find inverse of a function, follow the steps below:

1. replace h(x) with y

2. Interchange x and y

3. Solve for the new y

4. Replace y to $h^{-1}(x)$ (this is the inverse function)

Step 1: y = -2/3x+6

Step 2: x = -2/3y+6

Step 3:

$x=-\frac{2}{3}y+6\\\frac{2}{3}y=-x+6\\y=\frac{-x}{\frac{2}{3}}+\frac{6}{\frac{2}{3}}\\y=-\frac{3}{2}x+9$

Step 4:

$y=-\frac{3}{2}x+9\\h^{-1}(x)=-\frac{3}{2}x+9$

This is the inverse function.

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2 years ago

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Is one side of a rectangular fish tank best represented by a point, line, plane, or ray?

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Plane, think of planes as a rectangular shape. Rays and lines are just arrows. And a point is just one single dot

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3 years ago

During a recent drought, a water utility in a certain town sampled 100 residential water bills and found out that 73 of the resi

ankoles [38]

Answer:

(0.6430, 0.8170)

Step-by-step explanation:

Given that during a recent drought a water utility in a certain town sampled 100 residential water bills and found out that 73 of the residences had reduced their water consumption over that of the previous year.

Sample size n = 100

Sample proportion p = $\frac{73}{100} =0.73$

q = 1-p = 0.23

Std error of proportion = $\sqrt{\frac{pq}{n} } \\=\sqrt{\frac{0.73*0.27}{100} } \\=0.04440$

95% Z critical value = 1.96

Margin of error = $1.96*0.0444 = 0.0870$

Confidence interval = sample proportion ±margin of error

0.642983946

0.817016054

(0.6430, 0.8170)

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2 years ago