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Gekata [30.6K]
3 years ago
9

Simplify quantity x squared plus 5 x plus 6 end quantity over quantity x plus 2

Mathematics
2 answers:
Aleksandr-060686 [28]3 years ago
8 0

Answer:

c

Step-by-step explanation:

Given

\frac{x^2+5x+6}{x+2}

Factor the numerator

x² + 5x + 6 = (x + 2)(x + 3) , thus

= \frac{(x+2)(x+3)}{x+2}

Cancel the factor (x + 2) on the numerator and denominator, leaving

= x+ 3 → c

noname [10]3 years ago
5 0

Answer:

C. x+3

Step-by-step explanation:

Simplifying

x²++5x+6/x+2

Firstly we need to factorize the numerator to have;

x²+5x+6

x²+3x+2x+6

(x²+3x)+(2x+6)

x(x+3)+2(x+3)

x+2(x+3)

The equation will now become;

(x+2)(x+3)/x+2

= x+2 will cancel out x+2 to have x+3 left which is the required function

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Luisa and Connor had $360 altogether . After Connor gave Luisa 2/5 of his money, she had the same amount of money has he did. Ho
Liula [17]

Answer:

$300

Step-by-step explanation:

Let's say that L is the amount of money Luisa had in the beginning, and C is the amount of money Connor had in the beginning.

C + L = 360

C - 2/5 C = L + 2/5 C

Simplifying the second equation:

3/5 C = L + 2/5 C

1/5 C = L

Substituting into the first equation:

C + 1/5 C = 360

6/5 C = 360

C = 300

Connor originally had $300, and Luisa $60.  Connor gave Luisa $120, and they both had $180.

8 0
3 years ago
One fourth of a number is 1 more than one fifth of the same number
Arlecino [84]
The most important part of this question is understanding the words of the problem. The trick lies in the words of the problem. Once the web of words is simplified, the problem becomes very easy. The main thing is converting the words into numbers.
Let us assume the unknown number = x
Then from the question we get
(x/4) = (x/5) + 1
(x/4) - (x/5) = 1
(5x - 4x)/20 = 1
x/20 = 1
x = 20
So the unknown number is 20
3 0
3 years ago
3 out of 5 picks are orange. if 12 picks are orange haw many picks are in all
xxTIMURxx [149]

Answer:

There were 20 picks total

Step-by-step explanation:

We can use a proportion to solve this problem.  Put the orange picks on top and the total picks on bottom

3 orange         12 orange

-------------- =   ---------------

5 total                x total

Using cross products

3x = 5*12

3x= 60

Divide each side by 3

3x/3 = 60/3

x = 20

There were 20 picks total

7 0
3 years ago
Read 2 more answers
Fidelity Investments is selling a real estate income mutual fund for $10.94 per share. The fund charges a load of 2.5%. What is
Contact [7]

Answer:

Step-by-step explanation:

The fidelity investment mutual funds is $10.92 per share.

The fund charges 2.5%.

So, if 2.5% is charged,

Then, 2.5% of the share is

2.5% of $10.92 = 2.5 / 100 × $10.92

2.5% of $10.92 = $0.273

Then, total offer price is 0.273 + 10.92

Therefore, total offer is $11.193

4 0
3 years ago
What fraction of a full turn is 120°?​
Gekata [30.6K]

Answer:

1/3

Step-by-step explanation:

360/120=3

7 0
3 years ago
Read 2 more answers
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