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prohojiy [21]
3 years ago
6

-8 = -8 (5-2x) please explain

Mathematics
1 answer:
Lerok [7]3 years ago
5 0

Answer:

x= 2

Step-by-step explanation:

-8(5)(-2x)

-40 16x

+40

32=16x

x=2

You might be interested in
a rectangle has an area that is represented by 9x²-4. the length of the rectangle is 3x-2. what is the width?
PSYCHO15rus [73]

Step-by-step explanation:

the area is

length × width

(3x - 2) × width = 9x² - 4

to find width we could do a real polynomial division or simply recognize the fact that

(a + b)(a - b) = a² - b²

and we see that in our area calculation we are missing the (a + b) factor.

so, width = (3x + 2)

but if you want the division :

9x² - 4 : 3x - 2 = 3x + 2

- 9x² - 6x

-----------------

0 6x - 4

- 6x - 4

----------------------

0 0

again, width = (3x + 2)

6 0
2 years ago
Omar wants to buy some shoes online for $32 per pair including tax, and the shipping is $4.
Alika [10]

Answer:

If the price of the shoes doesn't change and the shipping doesn't change the answer would be 2

Step-by-step explanation:

100 ÷ 32 is 2.8

3 0
3 years ago
Factor completely. <br> <img src="https://tex.z-dn.net/?f=x%5E%7B8%7D-%5Cfrac%7B1%7D%7B81%7D" id="TexFormula1" title="x^{8}-\fra
Eduardwww [97]

We have 3⁴ = 81, so we can factorize this as a difference of squares twice:

x^8 - \dfrac1{81} = \left(x^2\right)^4 - \left(\dfrac13\right)^4 \\\\ x^8 - \dfrac1{81} = \left(\left(x^2\right)^2 - \left(\dfrac13\right)^2\right) \left(\left(x^2\right)^2 + \left(\dfrac13\right)^2\right) \\\\ x^8 - \dfrac1{81} = \left(x^2 - \dfrac13\right) \left(x^2 + \dfrac13\right) \left(\left(x^2\right)^2 + \left(\dfrac13\right)^2\right) \\\\ x^8 - \dfrac1{81} = \left(x^2 - \dfrac13\right) \left(x^2 + \dfrac13\right) \left(x^4 + \dfrac19\right)

Depending on the precise definition of "completely" in this context, you can go a bit further and factorize x^2-\frac13 as yet another difference of squares:

x^2 - \dfrac13 = x^2 - \left(\dfrac1{\sqrt3}\right)^2 = \left(x-\dfrac1{\sqrt3}\right)\left(x+\dfrac1{\sqrt3}\right)

And if you're working over the field of complex numbers, you can go even further. For instance,

x^4 + \dfrac19 = \left(x^2\right)^2 - \left(i\dfrac13\right)^2 = \left(x^2 - i\dfrac13\right) \left(x^2 + i\dfrac13\right)

But I think you'd be fine stopping at the first result,

x^8 - \dfrac1{81} = \boxed{\left(x^2 - \dfrac13\right) \left(x^2 + \dfrac13\right) \left(x^4 + \dfrac19\right)}

6 0
3 years ago
Nina worked 32 hours this week. She earned a total of 360. How much does she make per hour? Write and solve equation.
NeX [460]

Nina makes 11.25 per hour.

Step-by-step explanation:

Given,

Number of hours worked by Nina = 32 hours

Amount earned by Nina = 360

Let,

x represent the amount earned by Nina per hour.

Amount per hour * Number of hours = Amount earned

32*x=360\\32x=360

Dividing both sides by 32

\frac{32x}{32}=\frac{360}{32}\\x=11.25

Nina makes 11.25 per hour.

Keywords: variable, equation

Learn more about variables at:

  • brainly.com/question/11416224
  • brainly.com/question/11638377

#LearnwithBrainly

5 0
3 years ago
Write in descending powers of “x” 6x^4+15x^3y2+3x^2y^3
Wewaii [24]

(6x^4) + (15x^3)(y^2) + (3x^2)(y^3) is your answer

As we are looking at descending powers of x. Look at the powers of the x. In the first one (6x^4), the power is 4, and 4 is greater than the other numbers given (3 & 2). Therefore, the order given above is correct.

hope this helps

7 0
3 years ago
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