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2 years ago

11

Zoe is solving the equation 3x – 4 = –10 for x. She used the addition property of equality to isolate the variable term as shown

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1 answer:

uranmaximum [27]2 years ago

5 0

3x -4 =-10

Answer: x = -2

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Write an equivalent expression for 7¹² × 7⁴

ira [324]

Answer:

$\huge\boxed{7^{16}}$

Step-by-step explanation:

We can use exponent rules to try and simplify this expression down.

Exponent rules tell us that $x^a + x^b = x^{a+b}$ .

This means that since we have the same base on both terms (7 and 7), we can add the exponents to get a simplified expression.

$12 + 4 = 16$

So our simplified expression is $7^{16}$ .

Hope this helped!

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2 years ago

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77julia77 [94]

Answer:

This is quite simple when you consider it. go to -4 on the x axis and find where it goes on the y which in this case is 1. so the output for y is 1

Step-by-step explanation:

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2 years ago

if three force are acting on a body and they are in equilibrium if force 1 is 1200N at 51.3 degree and force 2 is 1400N at 42 de

Vedmedyk [2.9K]

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2 years ago

A company that manufactures hair ribbons knows that the number of ribbons it can sell each week, x, is related to the price p pe

mel-nik [20]

Given:

The number of ribbons it can sell each week, x, is related to the price p per ribbon by the equation:

$x=1000-100p$

To find:

The selling price if the company wants the weekly revenue to be $1,600.

Solution:

We know that the revenue is the product of quantity and price.

$R=xp$

$R=(1000-100p)p$

$R=1000p-100p^2$

We need to find the value of p when the value of R is $1600.

$1600=1000p-100p^2$

$1600-1000p+100p^2=0$

$100(16-10p+p^2)=0$

Divide both sides by 100.

$p^2-10p+16=0$

Splitting the middle term, we get

$p^2-8p-2p+16=0$

$p(p-8)-2(p-8)=0$

$(p-8)(p-2)=0$

Using zero product property, we get

$p-8=0$ or $p-2=0$

$p=8$ or $p=2$

Therefore, the smaller value of p is $2 and the larger value of p is $8.

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3 years ago

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2 years ago