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1 year ago

Which shows one way to determine the factors of 12x3 – 2x2 + 18x – 3 by grouping?

Mathematics

2 answers:

Debora [2.8K]1 year ago

6 0

Option A

$2x^2(6x-1) + 3(6x-1)$ is one way to determine the factors of $12x^3-2x^2+18x-3$ by grouping

Solution:

Factoring by grouping means that you will group terms with common factors before factoring

Given expression is:

$12x^3-2x^2+18x-3$

Group the first two terms together and then the last two terms together.

$(12x^3-2x^2)+(18x-3)$

We can see that $2x^2$ is common in first two terms

And 3 is common in last two terms

Factor them out

$(12x^3-2x^2)+(18x-3) = 2x^2(6x-1) + 3(6x-1)$

$2x^2(6x-1) + 3(6x-1)$

Thus option A is correct

Scorpion4ik [409]1 year ago

5 0

Answer:

is one way to determine the factors of by grouping

Solution:

Factoring by grouping means that you will group terms with common factors before factoring

Given expression is:

Group the first two terms together and then the last two terms together.

We can see that is common in first two terms

And 3 is common in last two terms

Factor them out

Step-by-step explanation:

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At an archeological site, the remains of two ancient step pyramids are congruent. If ABCD~=EFGH, find AD

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Answer: 300ft

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1 year ago

The sum of two positive integers, x and y, is not more than 40. The difference of the two integers is at least 20. Chaneece choo

oksian1 [2.3K]

Chaneece chooses x as the larger number and uses the inequalities y ≤ 40 – x and y ≤ x – 20 to determine the possible solutions.

y ≤ 40 – x, if x must be between 0 and 10, y must be between 20 and 40 it is true
proof
for x=0 and y=10, y ≤ 40 – x equivalent to 10<40-0=40 it is true
x=10, y=30, y ≤ 40 – x equivalent to 30=40-10=30 it is true

the answer is A) Yes, Chaneece found the correct solution.

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1 year ago

Read 2 more answers

The results of a mathematics placement exam at two different campuses of Mercy College follow: Campus Sample Size Sample Mean Po

Leona [35]

Answer:

$z=\frac{(33-31)-0}{\sqrt{\frac{8^2}{330}+\frac{7^2}{310}}}}=3.37$

$p_v =P(Z>3.37)=1-P(Z$

Comparing the p value with a significance level for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that the mean for the Campus 1 is significantly higher than the mean for the group 2.

Step-by-step explanation:

Data given

Campus Sample size Mean Population deviation

1 330 33 8

2 310 31 7

$\bar X_{1}=33$ represent the mean for sample 1

$\bar X_{2}=31$ represent the mean for sample 2

$\sigma_{1}=8$ represent the population standard deviation for 1

$\sigma_{2}=7$ represent the population standard deviation for 2

$n_{1}=330$ sample size for the group 1

$n_{2}=310$ sample size for the group 2

$\alpha$ Significance level provided

z would represent the statistic (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the mean for Campus 1 is higher than the mean for Campus 2, the system of hypothesis would be:

Null hypothesis: $\mu_{1}-\mu_{2}\leq 0$

Alternative hypothesis: $\mu_{1} - \mu_{2}> 0$

We have the population standard deviation's, and the sample sizes are large enough we can apply a z test to compare means, and the statistic is given by:

$z=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}}$ (1)

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

With the info given we can replace in formula (1) like this:

$z=\frac{(33-31)-0}{\sqrt{\frac{8^2}{330}+\frac{7^2}{310}}}}=3.37$

P value

Since is a one right tailed test the p value would be:

$p_v =P(Z>3.37)=1-P(Z$

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1 year ago

The data in the table above was compiled by a new pet information website from a random survey of users with Basset Hounds and W

pshichka [43]

Answer:

An adult Welsh Corgi is always going to be shorter than an adult Basset Hound.

Step-by-step explanation:

That's what I think because the Basset Hound is 13.8 in. in height right? So he's two inches taller if we round up both numbers. Basset hound would be 14 and welsh corgi would be 11....................okay im not sure i give up but it's either

"An adult Welsh Corgi is always going to be shorter than an adult Basset Hound."

"Basset hounds tend to be a little over two inches taller than Welsh Corgis, but have a higher variability in height.

whichever just not the other ones good luck!

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1 year ago

Write an arithmetic series for which S5 = 10.

Ludmilka [50]

S5=10 means the 5th number is 10.
So the arithmetic sequence is s1, s2,s3, s4, 10

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2 years ago