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Black_prince [1.1K]
3 years ago
13

Find the quotient. (6x 2 + 23x + 20) ÷ (5 + 2x)

Mathematics
2 answers:
arsen [322]3 years ago
8 0

Answer:

The quotient is 3x+4

Step-by-step explanation:

Given  the dividend and divisor i.e we have to find the quotient if 6x^2+23x+20 is divided by 5+2x

Given dividend is

6x^2+23x+20

⇒ 6x^2+15x+8x+20

⇒ 3x(2x+5)+4(2x+5)

⇒ (3x+4)(2x+5)

Hence, the given dividend can written in two factors.

Now, \frac{6x^2+23x+20}{5+2x}=\frac{(3x+4)(2x+5)}{2x+5}=3x+4

Hence, the quotient is 3x+4

tekilochka [14]3 years ago
4 0
<span>(3x -4)(2x-5) as this it is divided </span>
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20 subtracted from three times a number is 6 more than the number
kompoz [17]
<h3>20 subtracted from three times a number is 6 more than the number. Then the number is 13</h3>

<em><u>Solution:</u></em>

<em><u>Given statement is:</u></em>

20 subtracted from three times a number is 6 more than the number

We can translate the sentence into algebraic expression

Let "a" be the unknown number

Then,

20 subtracted from three times "a" is 6 more than "a"

Which means,

3a - 20 = 6 + a

3a - a = 6 + 20

2a = 26

Divide both sides by 2

a = 13

Thus the number is 13

3 0
3 years ago
Write one problem using a dollar amount of $420 and a percent of 40%. Provide a solution to your problem. Please help I'm desper
luda_lava [24]
You could do :
Johnny was financing a limited editions Xbox One S. The price was $420 and he put down 40%. How much is left to be financed?
dp=420(40/100)=16800/100=168
then you would subtract 420-168 which would give you 252
;) good luck !!
3 0
3 years ago
Solve for x.<br> 9(x - 2) = 18<br> o x=0<br> X = 16/9<br> x = 20/9
iragen [17]

Answer:

x = 4

Step-by-step explanation:

9(x - 2) = 18

9x - 18 = 18

9x = 18 + 18

9x = 36

x = 36/9

x = 4

5 0
3 years ago
Read 2 more answers
Three populations have proportions 0.1, 0.3, and 0.5. We select random samples of the size n from these populations. Only two of
IRINA_888 [86]

Answer:

(1) A Normal approximation to binomial can be applied for population 1, if <em>n</em> = 100.

(2) A Normal approximation to binomial can be applied for population 2, if <em>n</em> = 100, 50 and 40.

(3) A Normal approximation to binomial can be applied for population 2, if <em>n</em> = 100, 50, 40 and 20.

Step-by-step explanation:

Consider a random variable <em>X</em> following a Binomial distribution with parameters <em>n </em>and <em>p</em>.

If the sample selected is too large and the probability of success is close to 0.50 a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:

  • np ≥ 10
  • n(1 - p) ≥ 10

The three populations has the following proportions:

p₁ = 0.10

p₂ = 0.30

p₃ = 0.50

(1)

Check the Normal approximation conditions for population 1, for all the provided <em>n</em> as follows:

n_{a}p_{1}=10\times 0.10=1

Thus, a Normal approximation to binomial can be applied for population 1, if <em>n</em> = 100.

(2)

Check the Normal approximation conditions for population 2, for all the provided <em>n</em> as follows:

n_{a}p_{1}=10\times 0.30=310\\\\n_{c}p_{1}=50\times 0.30=15>10\\\\n_{d}p_{1}=40\times 0.10=12>10\\\\n_{e}p_{1}=20\times 0.10=6

Thus, a Normal approximation to binomial can be applied for population 2, if <em>n</em> = 100, 50 and 40.

(3)

Check the Normal approximation conditions for population 3, for all the provided <em>n</em> as follows:

n_{a}p_{1}=10\times 0.50=510\\\\n_{c}p_{1}=50\times 0.50=25>10\\\\n_{d}p_{1}=40\times 0.50=20>10\\\\n_{e}p_{1}=20\times 0.10=10=10

Thus, a Normal approximation to binomial can be applied for population 2, if <em>n</em> = 100, 50, 40 and 20.

8 0
3 years ago
Which of the following is a solution to the equation y = 3x - 1 ?
Korvikt [17]
One way of determining the answer is by substituting the values to the equation. It is done as follows:

A. (4,1)
<span>y = 3x - 1
</span>1 = 3(4) - 1 = 11 -------> not equal

B. (2,5)
<span>y = 3x - 1
</span>5 = 3(2) - 1 = 5 --------> equal

C. (4,3)
<span>y = 3x - 1
</span>3 = 3(4) -1 --------------> not equal

D. (0, -3)
<span>y = 3x - 1
-3 = 3(0) -1 = -1 ---------> not equal</span>
8 0
3 years ago
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