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2 years ago

Thanks in advance :)

Mathematics

1 answer:

scoundrel [369]2 years ago

3 0

The answer is -4 because -4^7=-16384

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Which of the following is the product of the rational expression shown below

wolverine [178]

Option C: $\frac{x^{2}-9}{x^{2}-4}$ is the product of the rational expression.

Explanation:

The given rational expression is $\frac{x+3}{x+2} \cdot \frac{x-3}{x-2}$

We need to determine the product of the rational expression.

Product of the rational expression:

Let us multiply the rational expression to determine the product of the rational expression.

Thus, we have;

$\frac{(x+3)(x-3)}{(x+2)(x-2)}$

Let us use the identity $(a+b)(a-b)=a^2-b^2$ in the above expression.

Thus, we get;

$\frac{x^{2} -3^2}{x^{2} -2^2}$

Simplifying the terms, we get;

$\frac{x^{2}-9}{x^{2}-4}$

Thus, the product of the rational expression is $\frac{x^{2}-9}{x^{2}-4}$

Hence, Option C is the correct answer.

6 0

2 years ago

Please please help me

Semenov [28]

X=3 because you subtract the three on both sides to get x alone. So you get: 7x=21 then you divide seven by 21 and get x=3

5 0

2 years ago

In a zoo there are 21 Lions. 1/3 of them are male. How many females are in the zoo?

Jet001 [13]

Answer: 14 female
Explanation:
21/3= 7 male
21-7=14 female
hope it helps!

5 0

2 years ago

Read 2 more answers

A toy rocket is launched straight up into the air with an initial velocity of 60 ft/s from a table 3 ft above the ground. If acc

alexdok [17]

The equation is:
h ( t ) = - 16 t² + 60 t + 3
The toy rocket will reach the ground when: h ( t ) = 0
- 16 t² + 60 t + 3 = 0
$t _{12} = \frac{-60+/- \sqrt{3600+192} }{-32}$
t 1 = - 0.05
t 2 = 3.8
Answer:
C ) 3.80 s

3 0

2 years ago

The length of the base of a rectangular prism is 9

Tatiana [17]

Answer:

The volume of the prism is 320 15/16 inches³.

Step-by-step explanation:

Given:

The length of the base of a rectangular prism is 9 7/8.

The width of the prism is 8 1/8.

And the height is 4 inches.

Now, to find the volume of the prism.

(Length) l = 9 7/8 = 79/8 inches.

(Width) w = 8 1/8 = 65/8 inches.

(Height) h = 4 inches.

So, by putting the formula to get the volume:

Volume = w×h×l.

$Volume=\frac{65}{8}\times 4\times \frac{79}{8}$

$Volume=320\frac{15}{16}$

Volume = 320 15/16 inches³.

Therefore, the volume of the prism is 320 15/16 inches³.

7 0

3 years ago