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3 years ago

2) Multiply (6x+3)(3x2+8x+5) Help, please shore me how to do this!

Mathematics

1 answer:

Brrunno [24]3 years ago

7 0

Answer:

Result :

3 • (2x + 1) • (x + 1) • (3x + 5)

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2".

STEP1

Equation at the end of step 1

(6x + 3) • ((3x2 + 8x) + 5)

STEP2

STEP3

Pulling out like terms

3.1 Pull out like factors :

6x + 3 = 3 • (2x + 1)

Trying to factor by splitting the middle term

3.2 Factoring 3x2 + 8x + 5

The first term is, 3x2 its coefficient is 3 .

The middle term is, +8x its coefficient is 8 .

The last term, "the constant", is +5

Step-1 : Multiply the coefficient of the first term by the constant 3 • 5 = 15

Step-2 : Find two factors of 15 whose sum equals the coefficient of the middle term, which is 8 .

-15 + -1 = -16

-5 + -3 = -8

-3 + -5 = -8

-1 + -15 = -16

1 + 15 = 16

3 + 5 = 8 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 3 and 5

3x2 + 3x + 5x + 5

Step-4 : Add up the first 2 terms, pulling out like factors :

3x • (x+1)

Add up the last 2 terms, pulling out common factors :

5 • (x+1)

Step-5 : Add up the four terms of step 4 :

(3x+5) • (x+1)

Which is the desired factorization

sorry if its too much...

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Can u help me with these anwsers

nydimaria [60]

Check your work here:
1)7/8.
7/8=0.875 and 3/4=0.75
2)3/20.
3/20=0.15 and 12.5%=0.125
3)48.4
increase by 10% means you multiply 44 by 100%+10% or 110% to get 48.4
4)612
decrease by 10% means you multiply 680 by 100%-10% or 90% to get 612
5)36,36,60
132/(3+3+5)*3,132/(3+3+5)*3,132/(3+3+5)*5
6)9.6,22.4
32/10*3, 32/10*7
7)20
14/0.7
8)31.5
18/4*7
9)17/12
2/3=8/12, 3/4=9/12 8/12+9/12=17/12
10)15/4
5*3/4
11)8
2^2+2*2=4+4=8
12)0
(-2)^2+(-2)*2=4-4=0
13)3
3(x-3)=0,(x-3)=0,x=3
14)2/5 or 0.4
5x+1=3,5x=2,x=2/5
15)5n+2
The sequence difference is 5 and the first term is 7
16)20
6(3)+2=18+2=20
17)-5
4(-2)+3=-8+3=-5
18)1
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3 years ago

Increase 80 in the ratio of 3:2

Karolina [17]

Answer:

Ratios describe proportions. We can always multiply across ratios, or divide across them (as long as we do it to all of them). For example, the ratio 3 : 2 is the same as 6 : 4 and 300 : 200. Accuracy Tip.

Step-by-step explanation:

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2 years ago

Which of these numbers is greater than 2.25 but less than 1? Is it 1 or 1.5 or 0 or 2.5

Sloan [31]

Answer:

the answer is 1.5 because converting them into their fractional form indeed informs u that 1.5 is thus greater than 2.25 BT lesser than 1

5 0

3 years ago

For the hypothesis test H0: μ = 10 against H1: μ >10 and variance known, calculate the Pvalue for each of the following test

Basile [38]

Answer:

a) $p_v =P(Z>2.05)=1-P(z$

b) $p_v =P(Z>-1.84)=1-P(z$

c) $p_v =P(Z>0.4)=1-P(z$

Step-by-step explanation:

Some previous concepts

The p-value is the probability of obtaining the observed results of a test, assuming that the null hypothesis is correct.

A z-test for one mean "is a hypothesis test that attempts to make a claim about the population mean(μ)".

The null hypothesis attempts "to show that no variation exists between variables or that a single variable is no different than its mean"

The alternative hypothesis "is the hypothesis used in hypothesis testing that is contrary to the null hypothesis"

Hypothesis

Null hypothesis: $\mu=10$

Alternative hypothesis: $\mu >10$

If the random variable is distributed like this: $X \sim N(\mu,\sigma)$

We assume that the variance is known so the correct test to apply here is the z test to compare means, the statistic is given by the following formula:

$z_o=\frac{\bar X -\mu}{\sigma}$

Since we have the values for the statistic already calculated we can calculate the p value using the following formulas:

Part a

$p_v =P(Z>2.05)=1-P(z$

And in order to find the answer using excel we can use the following code:

"=1-NORM.DIST(2.05,0,1,TRUE)"

Part b

$p_v =P(Z>-1.84)=1-P(z$

And in order to find the answer using excel we can use the following code:

"=1-NORM.DIST(-1.84,0,1,TRUE)"

Part c

$p_v =P(Z>0.4)=1-P(z$

And in order to find the answer using excel we can use the following code:

"=1-NORM.DIST(0.4,0,1,TRUE)"

Conclusions

If we use a reference value for the significance, let's say $\alpha=0.05$ . For part a the $p_v$ so then we can reject the null hypothesis at this significance level.

For part b the $p_v>\alpha$ so then we FAIL to reject the null hypothesis at this significance level.

For part c the $p_v>\alpha$ so again we FAIL to reject the null hypothesis at this significance level.

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3 years ago

Find the indicated term of the given arithmetic sequence. a1=45, d= -3, n=10

klasskru [66]

In this sequence, we're given the first term, which is 45.

The difference between each term is -3, which means 3 will be subtracted in each term.

We're asked to find the value of the tenth term, and we can do so by using this formula:

a(n) = a(1) + d(n - 1)

Replace values.

a(10) = 45 + -3(9)

a(10) = 18

<h3>The value of the tenth term is 18.</h3>

3 0

3 years ago

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