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3 years ago

Simplify 4 to the 7th over 5 squared all raised to the 3rd power.

1 answer:

6 0

First write out your original equation.
${(\frac{ {4}^{7} }{ {5}^{2} } ) }^{3}$
Then use the law of exponents(power of a power) to simplify.
$\frac{ {4}^{21} }{ {5}^{6} }$
(Multiply the numerator and denominator exponents by the outside power.)

The answer is 4 to the 21st over 5 to the 6th.

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3 years ago

Sketch the graph of each equation. y=-2x+1

Allushta [10]

Step-by-step explanation:

y=-2x+1 so we say (-2x+1)

we flip the equation by saying

-2x+1 -1=y+-1

-2x=y-1

Divide both sides by -2

-2÷-1 = y-1÷-2

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2 years ago

David, Egil and Frances share money in the ratio 2:7:9. Frances gets ?80 more than David. Explain how you know Egil gets ?80.

Natalija [7]

Step-by-step explanation:

We have been given that David, Egil and Frances share money in the ratio 2:7:9.

Let 2x, 7x and 9x be the amounts of money that David, Agil and Frances get respectively.

We are told that Frances gets $80 more than David. So we can write this information in an equation as:

$9x=2x+80$

Now let us solve for x.

$9x-2x=80$

$7x=80$

$x=\frac{80}{7}$

Now let us substitute $x=\frac{80}{7}$ in 7x (amount of money that Egil gets).

$\text{ Amount of money that Egil will get}=7\cdot \frac{80}{7}$

Upon cancelling out 7 from numerator and denominator we will get,

$\text{ Amount of money that Egil will get}=80$

Therefore, Egil will get $80.

6 0

4 years ago

Select the equation that contains the points, (−6, 5 2 ) (-6, 52)

Molodets [167]

In any case. if the x values (-6) are the same for both points the equation of line would be x = -6

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3 years ago

Which of these systems of linear equations has no solution?

Alika [10]

Answer:

A is correct

Step-by-step explanation:

A has no solution because since the slopes are the same, setting both equations equal to each other will cancel out the slopes and result in 8=16, meaning no solution will make both sides equal to each other.

B does have a solution because of different slopes

C does have a solution because of different slopes

D does have a solution because of different slopes

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3 years ago