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3 years ago

7

Use the formula A=bh. Britney is painting a mural on one of the walls in the room the mural is in a parallelogram shaped frame t

he area of the mural is 10056 in square and the base is 32in what is the height of the mural

1 answer:

Black_prince [1.1K]3 years ago

4 0

If a = b • h the A divided by b = h

Answer is 314.25

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Show algebraically that f and g are inverse functions:<br> g = sqrt(x+8)-4<br> f=x^2+8x+8

Tema [17]

Answer:

See Below.

Step-by-step explanation:

By definition, if two functions, <em>f</em> and <em>g</em>, are inverses, then:

$\displaystyle f(g(x)) = g(f(x)) = x$

We are given the two functions:

$\displaystyle g(x) = \sqrt{x + 8} -4 \text{ and } f(x) = x^2 + 8x + 8$

Find f(g(x)) and g(f(x)):

$\displaystyle \begin{aligned} f(g(x)) &= (\sqrt{x + 8} -4)^2 + 8(\sqrt{ x+ 8}-4) + 8 \\ \\ &= ((x+8) -8\sqrt{x + 8} +16) + 8\sqrt{x + 8} - 32 + 8 \\ \\ &= x + (-8\sqrt{x+8} + 8\sqrt{x + 8}) +(16 - 32 + 8 + 8) \\ \\ &= x \stackrel{\checkmark}{=} x\end{aligned}$

And:

$\displaystyle \begin{aligned}g(f(x)) &= \sqrt{(x^2 + 8x + 8) + 8} - 4 \\ \\ &= \sqrt{x^2 + 8x+16 } - 4 \\ \\ &=\sqrt{(x+ 4)^2} - 4 \\ \\ &= (x +4) - 4 \\ \\ &= x \stackrel{\checkmark}{=} x \end{aligned}$

Hence, <em>f</em> and <em>g</em> are indeed inverses of each other.

8 0

2 years ago

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Your city has a sales tax rate of 6%. If you just spent $30 on sales tax, how much were your purchases?

sattari [20]

Answer:

30.00×.06=1.8+30.00=31.8

7 0

3 years ago

A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling a

Vesnalui [34]

Answer:

1/12

Step-by-step explanation:

There are 12 equally likely outcomes. 1 of the outcomes is a 2. So the probability is 1/12.

4 0

3 years ago

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Use a calculator to find the r-value of these data. Round the value to three decimal places.

Sindrei [870]

Answer:

-0.985

Step-by-step explanation:

Refer to the image below for explanation:

4 0

2 years ago

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How to find the multiplicity of a zero of a polynomial function?

Monica [59]

<span>The multiplicity of a zero of a polynomial function is how many times a particular number is a zero for a given polynomial.

For example, in the polynomial function $f(x)=x(x+4)^2(x-2)^3$ , the zeros are 0 with a multiplicity of 1, -4 with a multiplicity of 2, and 2 with a multiplicity of 3.

Although this polynomial has only three zeros, we say that it has six zeros (or degree of 6) counting the <span>multiplicities.</span></span>

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3 years ago