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2 years ago

Solve for x in the literal equation -20=xy +z.

Mathematics

1 answer:

erastovalidia [21]2 years ago

5 0

Answer:

-(20+z)/y = x

Step-by-step explanation:

-20=xy +z

Subtract z from each side

-20 -z = xy+z-z

-20 -z = xy

Divide each side by y

(-20 -z)/y = xy/y

Factor out a negative

-(20+z)/y = x

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The functions f(x) and g(x) are described below:

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Suppose that the function f(x) is the parrent function and the graph of the function g(x)=f(x)-a can be obtained from the graph of the parrent function f(x) by shifting down a units.

Rewrite the expression for the function $g(x)$ in the following way:

$g(x)=32x-9=32x+8-8-9=32x+8-17=f(x)-17.$

This shows that the shift down is made by 17 units.

Answer: 17 units

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2 years ago

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Answer:

1/6

Step-by-step explanation:

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2 years ago

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<img src="https://tex.z-dn.net/?f=%20%7B2%7D%5E%7Bm%7D%20%20%3D%20n%20" id="TexFormula1" title=" {2}^{m} = n " alt=" {2}^{m} =

sveta [45]

Answer:

$\displaystyle n^3-\frac{1}{n^{2}}$

Step-by-step explanation:

Exponents Properties

We need to recall the following properties of exponents:

$(a^x)^y=(a^y)^x=a^{xy}$

$\displaystyle a^{-x}=\frac{1}{a^x}$

We are given the expression:

$2^m=n$

We need to express the following expression in terms of n.

$8^m-4^{-m}$

It's necessary to modify the expression to use the given equivalence.

Recall $8=2^3 \text{ and }4 = 2^2$ . Thus:

$(2^3)^m-(2^2)^{-m}$

Applying the property:

$(2^m)^3-(2^m)^{-2}$

Substituting the given expression:

$n^3-n^{-2}$

Or, equivalently:

$\mathbf{\displaystyle 8^m-4^{-m}= n^3-\frac{1}{n^{2}}}$

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2 years ago

The Rumpart family is building a new room onto their house. The width of the new room will be 16 feet. The length of the room wi

QveST [7]

Answer:

$\text{The length of new room}=16.64\text{ feet}$

$\text{Area of the new room}=266.24\text{ feet}^2$

Step-by-step explanation:

We have been given that the Rumpart family is building a new room onto their house. The width of the new room will be 16 feet.

The length of the room will be 4% greater than the width. This means that length of new room will be 16 feet plus 4% of 16.

$\text{The length of new room}=16+(\frac{4}{100}*16)$

$\text{The length of new room}=16+(0.04*16)$

$\text{The length of new room}=16+0.64$

$\text{The length of new room}=16.64$

Therefore, the expression $16+(0.04*16)$ represents the length of new room and the length of new room is 16.64 feet.

Since we know that area of a rectangular shape is width times length.

$\text{Area of rectangle}=\text{Length*Width}$

$\text{Area of the new room}=16\text{ feet}\times 16.64\text{ feet}$

$\text{Area of the new room}=266.24\text{ feet}^2$

Therefore, the area of the new room will be 266.24 square feet.

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3 years ago

dsp73

<h2> The answer is B. 600 </h2>

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2 years ago

Solve for x in the literal equation -20=xy +z.​

Solve for x in the literal equation -20=xy +z.