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4 years ago

HELP

Mathematics

1 answer:

Ira Lisetskai [31]4 years ago

8 0

Answer:

166

Step-by-step explanation:

5/2=2.5

415/2.5

=166

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Find the forth term (x+5)^7

ololo11 [35]

Answer:

c..

Step-by-step explanation:

3 0

3 years ago

Simplify the expression by factoring, showing the steps in your work.

alexdok [17]

Given:

$$\frac{12 x^{2}+31 x+7}{16 x^{2}+8 x+1}$

To find:

The simplified expression by factoring.

Solution:

Let us factor the numerator:

$12 x^{2}+31 x+7$

31x can be written as 3x + 28x.

$=\left(12 x^{2}+3 x\right)+(28 x+7)$

Take 3x common in 1st two terms and 7 common in next two terms.

$=3 x(4 x+1)+7(4 x+1)$

Make sure the remaining terms in the both brackets must be same.

Now, take out common factor (4x + 1).

$=(4 x+1)(3 x+7)$

In the same way, factorize the denominator:

$16 x^{2}+8 x+1$

8x can be written as 4x + 4x.

$=(16 x^{2}+4 x)+(4x+1)$

Take 4x common in 1st two terms and 1 common in next two terms.

$=4x(4 x+1)+1(4x+1)$

Make sure the remaining terms in the both brackets must be same.

Now, take out common factor (4x + 1).

$=(4x+1)(4x+1)$

Substitute the terms we found for numerator and denominator:

$$\frac{12 x^{2}+31 x+7}{16 x^{2}+8 x+1}=\frac{(4 x+1)(3 x+7)}{(4 x+1)(4 x+1)}$

Cancel the common factors.

$$=\frac{3 x+7}{4 x+1}$

The simplified expression is $\frac{3 x+7}{4 x+1}$ .

3 0

4 years ago

What is the number of ways to arrange 8 objects from a set of 12 different<br> objects?

Alenkinab [10]

Answer:

19958400 ways

Step-by-step explanation:

As the question involves arrangement, permutation will be used.

P(n,r) = n! / (n-r)!

Here

n=12

and

r = 8

So,

P(12,8) = 12!/(12-8)!

= 12!/ 4!

=19958400 ways

Therefore, the 8 objects from 12 can be arranged in 19958400 ways ..

6 0

3 years ago

I dont know how to find x

Verdich [7]

Simplify both sides:

x
—- = -9
4

now isolate the variable (x):

x= -9 • 4
x= -36

4 0

3 years ago

1/3 in division form

marusya05 [52]

Answer:

Remember, 3 is the same thing as 3/1. Before we can divide, we need to make one more change. We'll switch the numerator and the denominator of the fraction we're dividing by: 1/3 in this example. So 1/3 becomes 3/1.

Step-by-step explanation:

8 0

3 years ago