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2 years ago

Multiply the polynomials (5x^2+2x+8)(7x-6)

Mathematics

2 answers:

zysi [14]2 years ago

6 0

5x^2 + 2x + 8
 x 7x - 6
 -30x^2 - 12x -48
35x^3 + 14x^2 + 56x + 0
35x^3 - 16x^2 + 44x - 48

babunello [35]2 years ago

5 0

Answer:

$35x^{3}+14x^{2} +56x-30x^{2} -12x-48\\35x^{3}-16x^{2} +44x -48\\$

Step-by-step explanation:

In order to multiply you just have to go term by term, you just first multiply 7x by the whole trinomial:

( $5x^{2} +2x+8$ )(7x)= $35x^{3}+14x^{2} +56x$

ANd then you multiply the second term: -6

( $5x^{2} +2x+8$ )(-6)= $-30x^{2} -12x-48$

ANd now you just have to add them up together:

$35x^{3}+14x^{2} +56x\\$

$-30x^{2} -12x-48$

And this would be equal to:

$35x^{3}-16x^{2} +44x -48$

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CATNUMATICAL Reason Quantitatively Rachel, Timothy, and Robyn each make

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Answer:

See explanation

Step-by-step explanation:

The question is incomplete, as the dimension of each prism is not given.

So, I will give a general explanation.

From the question, we understand each prism.

So, to get the new volume; we simply add up the volume of each prism.

For instance (we want to make assumptions)

Rachel

$Length = 4; Width = 3; Height = 4$

Timothy

$Length = 6; Width = 3; Height = 4$

Robyn

$Length = 4; Width = 8; Height = 3$

So, we have:

$Volume = Length * Width * Height$

For each, we have:

$Rachel =4* 3* 4 =48$

$Timothy= 6* 3* 4 = 72$

$Robyn = 4* 8* 3 = 96$

The volume of the new

$Volume = 48 + 72 + 96$

$Volume = 216$

The dimension of new prism.

Using the assumed values, we have:

$Length = 4; Width = 3; Height = 4$

$Length = 6; Width = 3; Height = 4$

$Length = 4; Width = 8; Height = 3$

Now, we consider the measure of the sides

Sides with the same length will form a new side.

Side 1

$Length =4$ --- Rachel

$Height = 4$ ---- Timothy

$Length = 4$ --- Robyn

The above lengths have the same measure. So, one of the sides of the new prism will assume the value of this length.

So:

$Length = 4$ -- for the new prism

Side 2

$Width =3$

$Width = 3$

$Height = 3$

The above lengths have the same measure. So, one of the sides of the new prism will assume the value of this length.

So:

$Width = 3$ -- for the new prism

Side 2

$Height = 4$

$Length = 6$

$Width =8$

For this, we simply add up each length.

So, we have:

$Height = 4 + 6 + 8$

$Height = 18$ --- for the new prism

So, the new dimension is:

$Length = 4$

$Length = 6$

$Height = 18$

$Volume = 4 * 3 * 18$

$Volume = 216$

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2 years ago

You will be administratively suspended if you have a breath or blood alcohol level of ____ or above or refuse to submit to a che

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Answer: Our required answer is 0.08%.

Step-by-step explanation:

According to U.S., if anyone has consumed 0.08 % or above , then he will considered as legally impaired, and he would be administratively suspended.

If he has a breath or blood alcohol level of 0.08% or above or refuse to submit to a chemical test.

In U.S. it must be less than 0.08% in blood alcohol concentration.

Hence, our required answer is 0.08%.

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Deci- means 1/10 or .1 of a unit.

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The CEO of the Jen and Benny's ice cream company is concerned about the net weight of ice cream in their 50 ounce ice cream tubs

MissTica

Answer:

$t=\frac{54.98-52}{\frac{8.43}{\sqrt{26}}}=1.8025$

We need to find the degrees of freedom given by:

$df = n-1= 26-1 = 25$

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

$p_v =P(t_{25}>1.8025)=0.0418$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the average is higher than 52 at 5% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=54.98$ represent the sample mean

$s=8.43$ represent the sample deviation

$n=26$ sample size

$\mu_o =52$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is higher than 52, the system of hypothesis would be:

Null hypothesis: $\mu \leq 52$

Alternative hypothesis: $\mu > 52$

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

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

$t=\frac{54.98-52}{\frac{8.43}{\sqrt{26}}}=1.8025$

P-value

We need to find the degrees of freedom given by:

$df = n-1= 26-1 = 25$

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

$p_v =P(t_{25}>1.8025)=0.0418$

Conclusion

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Answer:

I think its true

Step-by-step explanation:

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