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Aleonysh [2.5K]
3 years ago
7

Click and drag like terms onto each other to simplify fully. 1+x^2-3+2y+7x^2+3+3y

Mathematics
2 answers:
Rashid [163]3 years ago
6 0

Answer:

8x^2 + 5y + 1

Step-by-step explanation:

1 + x^2 - 3 + 2y + 7x^2 + 3 + 3y

group like terms

= x^2 + 7x^2 + 2y + 3y + 1 - 3 + 3

add similar items

= 8x^2 + 2y + 3y + 1 - 3 + 3

add similar items

= 8x^2 + 5y + 1 - 3 + 3

= 8x^2 + 5y + 1

Sidana [21]3 years ago
6 0

Answer:

\Huge \boxed{8x^2 +5y+1}

\rule[225]{225}{2}

Step-by-step explanation:

1+x^2-3+2y+7x^2+3+3y

Grouping like terms.

7x^2 +x^2+2y +3y +3+1 -3

(7x^2 +x^2)+(2y +3y) +(3+1 -3)

Combining like terms.

8x^2 +5y+1

\rule[225]{225}{2}

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An employer interviews 12 people for four openings at a company. Five of the 12 people are women. All 12 applicants are qualifie
MA_775_DIABLO [31]

Answer:

a) The employer can fill the four positions in 495 ways.

b) The employer can fill the four positions in 210 ways.

Step-by-step explanation:

The order is not important.

For example:

Selecting John, Laura, Mary and Tre'Davious is the same as selecting Laura, John, Mary and Tre'Davious.

So we use the combinations formula to solve this problem.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

(a) the selection is random

There are 12 people, and 4 are selected. So

C_{12,4} = \frac{12!}{4!8!} = 495

(b) exactly two selections are women?

There are 7 men and 5 women. We want to select 2 men and 2 women. So

C_{7,2}*C_{5,2} = \frac{7!}{2!5!}*\frac{5!}{2!3!} = 210

3 0
4 years ago
Given f(x) = x^3 + kx + 2, and x + 1 is a factor of f(x), then what is the value of <br> k?
Aleks [24]

Answer:

k = 1

Step-by-step explanation:

Given that,

f(x) = x^3 +kx + 2

If (x+1) is a factor of (x), we need to find the value of k.

Using remainder theorem to find it.

Put (x+1) = 0

x = -1

Put x = -1 in equation below.

x^3 + kx + 2=0\\\\(-1)^3+k(-1)+2=0\\\\-1-k+2=0\\\\1-k=0\\\\k=1

So, the value of k is 1.

4 0
3 years ago
Jim has three times as many comic books as Charles Charles has two thirds as many as Bob Bob has 27 books how many comic books d
Lorico [155]

Charles has 2/3 of bob

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Charles has 18

Jim has 3 times as many as Charles so he has 3 x 18 = 54

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6 0
3 years ago
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Answer:

3 to the power of 6 is 729

Step-by-step explanation:

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