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pav-90 [236]
3 years ago
10

Solve for x. (1 point) -ax + 4b > 9

Mathematics
1 answer:
Nataly [62]3 years ago
4 0
It’s going to be x=9, it’s x=9
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3 years ago
If the initial figure is 10 and then it is dilated with a scale factor of 2 what's the perimeter of dilated figure?
Gelneren [198K]

Answer:

20

Step-by-step explanation:

Initial figure times scale factor = result

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I hope this helps!

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2 years ago
Paul purchased 3 video games for $17.25 each. Which expression is the best choice to help him determine the total amount of mone
mr_godi [17]

Answer:

The answer is C or (3) × (17.25) = 51.75; He spent $51.75.

Step-by-step explanation:

i say this because 17.25 time 3 equal 51.75

6 0
3 years ago
How do you simplify <img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%20%2B%5Csqrt%7B6%7D%20%7D%7B%5Csqrt%7B8%7D%20%2B%
blondinia [14]

The trick is to exploit the difference of squares formula,

a^2-b^2=(a-b)(a+b)

Set a = √8 and b = √6, so that a + b is the expression in the denominator. Multiply by its conjugate a - b:

(\sqrt8+\sqrt6)(\sqrt8-\sqrt6)=(\sqrt8)^2-(\sqrt6)^2=8-6=2

Whatever you do to the denominator, you have to do to the numerator too. So

\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=\dfrac{(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)}{(\sqrt8+\sqrt6)(\sqrt8-\sqrt6)}=\dfrac{(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)}2

Expand the numerator:

(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=\sqrt{2\cdot8}+\sqrt{6\cdot8}-\sqrt{2\cdot6}-(\sqrt6)^2

(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=\sqrt{16}+\sqrt{48}-\sqrt{12}-6

(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=4+\sqrt{48}-\sqrt{12}-6

(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=-2+\sqrt{12}(\sqrt4-1)

(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=-2+\sqrt{12}(2-1)

(\sqrt2+\sqrt6)(\sqrt8-\sqrt6}=-2-\sqrt{12}

So we have

\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=-\dfrac{2+\sqrt{12}}2

But √12 = √(3•4) = 2√3, so

\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=-\dfrac{2+2\sqrt3}2=\boxed{-1-\sqrt3}

7 0
3 years ago
Ann is using a recipe that serves 20 people. The recipe requires 1/2 of a cup of sugar. How many cups of sugar does Ann need to
nikitadnepr [17]

Answer:

Step-by-step explanation:

x/70=0.5/20

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8 0
3 years ago
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