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stiv31 [10]
3 years ago
13

Please help me folks.

Mathematics
1 answer:
vivado [14]3 years ago
7 0

Answer:

3x^{5} (x + 2)(3x + 5)

Step-by-step explanation:

Given

9x^{7} + 33x^{6} + 30x^{5} ← factor out 3x^{5} from each term

= 3x^{5} (3x² + 11x + 10) ← factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 3 × 10 = 30 and sum = + 11

The factors are 6 and 5

Use these factors to split the x- term

3x² + 6x + 5x + 10 ( factor the first/second and third/fourth terms )

= 3x(x + 2) + 5(x + 2) ← factor out (x + 2) from each term

= (x + 2)(3x + 5), thus

3x² + 11x + 10 = (x + 2)(3x + 5)

and

9x^{7} + 33x^{6} + 30x^{5} = 3x^{5} (x + 2)(3x + 5)

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i believe the answer is c

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3 years ago
For a school fundraiser, Gerardo buys 4 raffle tickets and Maria buys 10 raffle tickets. Altogether, the school sells 100 ticket
valina [46]

Answer:

Step-by-step explanation:

8 0
3 years ago
Rearrange the equation so m is the independent variable. -2m-5n=7m-3n<br> Please answer FAST
IgorLugansk [536]

Answer:

n=-4.5m

Step-by-step explanation:

solve for n so that m becomes the independent variable

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4 0
4 years ago
1) Ten samples of a process measuring the number of returns per 100 receipts were taken for a local retail store.
densk [106]

Answer:

E) .0863

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

For this case we can find the sample proportion for each observation with the following formula:

\hat p = \frac{X}{n}

Where X represent the number of returns and n =100 for each case since the standard value used. Using the last formula we got:

p_1 = \frac{10}{100}=0.1

p_2 = \frac{9}{100}=0.09

p_3 = \frac{11}{100}=0.11

p_4 = \frac{7}{100}=0.07

p_5 = \frac{3}{100}=0.03

p_6 = \frac{12}{100}=0.12

p_7 = \frac{8}{100}=0.08

p_8 = \frac{4}{100}=0.04

p_9 = \frac{6}{100}=0.06

p_{10} = \frac{11}{100}=0.11

And now witht those values we can find the sample mean of proportions with the following formula:

hat p = \frac{\sum_{i=1}^n p_i}{n}= \frac{0.1+0.09+0.11+0.07+0.03+0.12+0.08+0.04+0.06+0.11}{10}=0.081

And we can find the standard error with the following formula:

SE= \sqrt{\frac{\hat p (1-\hat p)}{n}}=\sqrt{\frac{0.081(1-0.081)}{10}}=0.0863

So then the best option on this case is given by:

E) .0863

6 0
3 years ago
A line passes through the points (3, −1) and (−5, 3) . What is the point-slope form of the line
aleksandrvk [35]
Hello here is a solution:
equation for the line is :   y = ax+b    a : slope
let A(3;-1)   B(-5;3)
a= ((3)-(-1))/(-5)-(3))
a= 4/-8
a=-1/2
y=(-1/2) x+b
- 1 = (-1/2)(3)+b
b= 1/2
the equatdion is : y=(-1/2)x+1/2
8 0
3 years ago
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