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2 years ago

What is the domain and range of f(x)=4^x-8

1 answer:

8 0

If the function is: f(x) = 4^x - 8

D = {XeR}
R = {YeR|Y≥0}

if the function is: <span>f(x)=4^(x-8)

</span>D = {XeR}
R = {YeR|Y≥ -8}

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Write each polynomial in standard form. Then give the leading coefficient. You may need to combine like terms before writing the

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Step-by-step explanation:

To write a polynomial in standard form, put the degree that are the greatest first

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1 year ago

By what percent must we decrease the number A to obtain the number 4A/5?

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$\bf \cfrac{4A}{5}\implies \cfrac{4}{5}\cdot A\impliedby \textit{A is being reduced to four fifths} \\\\\\ \stackrel{\textit{let's convert four fifths to percentage}}{\cfrac{4}{5}\cdot 100\implies \cfrac{400}{5}\implies 80}$

so 4/5 of A is really 80% of A then.

since a whole A is 100% of A, 100% - 80% = 20%, A is being reduced by 20%, namely 1/5.

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2 years ago

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2 years ago

A gas pump fills 2^-2 gallon of gasoline per second. how many gallons does the pump fill in one minute?

astraxan [27]

Answer:

The gas pump filling the gallons in 1 minute will be: 15

Step-by-step explanation:

Given that a gas pump fills 2^-2 gallon of gasoline per second.

As there are 60 seconds in 1 minute.

Thus,

Gas pump filling the gallons in 1 minute will be:

$60\:\times 2^{-2}$

$=60\times \frac{1}{2^2}$ ∵ $a^{-b}=\frac{1}{a^b}$

$\mathrm{Multiply\:fractions}:\quad \:a\times \frac{b}{c}=\frac{a\:\times \:b}{c}$

$=\frac{1\times \:60}{2^2}$

$=\frac{60}{2^2}$

$=\frac{2^2\times \:3\times \:5}{2^2}$

$=3\times \:5$

$=15$ gallons in one minute

Therefore, the gas pump filling the gallons in 1 minute will be: 15

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2 years ago

In the straightedge and compass construction of the parallel line below, which of the following reasons can you use to prove tha

Eva8 [605]

Answer:

Step-by-step explanation:

Lines EG and CD are cut by transversal CF.

By construction, ∠FEG=∠FCD. These two angles are corresponding angles.

Since two corresponding angles are congruent, then lines EG and CD are parallel (by converse of the corresponding angles postulate).

Converse of the Corresponding Angles Postulate: If the corresponding angles formed by two lines and a transversal are congruent, then lines are parallel.

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2 years ago