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3 years ago

PLEASE HELP!!!! look at the picture below and explain your answer as well!!!

Mathematics

1 answer:

Inga [223]3 years ago

8 0

I think it is the first and last one

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Which choice is equivalent to the quotient shown here when x is greater than or equal to 0?

Dima020 [189]

Answer: OPTION C

Step-by-step explanation:

Remember that:

$\sqrt[n]{a^n}=a$

And the Product of powers property establishes that:

$a^m*a^n=a^{(mn)}$

Rewrite the expression:

$\frac{\sqrt{18x} }{\sqrt{32} }$

Descompose 18 and 32 into their prime factors:

$18=2*3*3=2*3^2\\32=2*2*2*2*2=2^5=2^4*2$

Substitute into the expression, then:

$\frac{\sqrt{(2*3^2)x} }{\sqrt{2^4*2} }$

Finally,simplifying, you get:

$\frac{3\sqrt{(2)x} }{2^2\sqrt{2} }=\frac{3\sqrt{2x}}{4\sqrt{2}}=\frac{(3)(\sqrt{x})(\sqrt{2})}{(4)(\sqrt{2})}= \frac{3\sqrt{x}}{4}$

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3 years ago

Factor. 2x2−3x−5 (2x+5)(x−1) (x−5)(2x+1) (2x−5)(x−1) (2x−5)(x+1)

Likurg_2 [28]

Answer:

Step-by-step explanation

You do the brackets first
The answer to the brackets is : 0
Because you also times the others by 0 the answer must be 0.

7 0

2 years ago

Read 2 more answers

A blueprint shows an apartment with an area of 15 square inches. If the blueprint's scale is 1 inch : 8 feet, what will the actu

Free_Kalibri [48]

I got 480 square feet. I assume that the apartment was a rectangle so the sides were 3in by 5in. Then I converted inches to feet and then found the area again

3 0

2 years ago

What is the inverse of f(x)=(x+6)2 for x≥–6 where function g is the inverse of function f? g(x)=x√−6, x≥0 g(x)=x−6−−−−√, x≥6 g(x

avanturin [10]

Answer:

$g(x)=\sqrt{x}-6$ , x>=0

Step-by-step explanation:

$f(x)=(x+6)^2$

To find the inverse function , replace f(x) by y

$y=(x+6)^2$

Replace x with y and y with x

$x=(y+6)^2$

Solve the equation for y

take square root on both sides

$+\sqrt{x} =y+6$

Now subtract 6 from both sides

$+\sqrt{x}-6=y$

replace y with g(x)

$g(x)=\sqrt{x}-6$

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3 years ago

Classify the triangle by its angles and sides.

r-ruslan [8.4K]

Answer:

Step-by-step explanation:

This triangle has a right angle so it is right.

It also has three different sides so it is scalene.

C is the answer

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3 years ago