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Factor each expression by factoring out the common binomial

5a(y + 4) + 8(y + 4)

Answers

Answer 1
Answer:

Answer:

Factoring the term 5a(y + 4) + 8(y + 4) we get (y+4)(5a+8)

Step-by-step explanation:

We need to factor the term: 5a(y + 4) + 8(y + 4)

Factoring:

5a(y + 4) + 8(y + 4)

Taking (y+4) common

(y+4)(5a+8)

It cannot be further factored.

So, Factoring the term 5a(y + 4) + 8(y + 4) we get (y+4)(5a+8)

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The function f(x) = 2x2 + 3 represents the rate of a boat traveling with the current in miles per hour. The function g(x) = x + 2 represents the time the boat traveled in hours. Solve (f • g)(2), and interpret the answer.

Answers

\boxed{(f\cdot g)(2)=44}

Explanation:

Here we have two functions, namely:

f(x)=2x^2+3 \n \n \n g(x)=x+2

So here we need to perform the product of two functions and evaluate this new function for x=2. So:

f(x)=2x^2+3 \n \n g(x)=x+2 \n \n \n (f\cdot g)(x)=(2x^2+3)(x+2) \n \n (f\cdot g)(2)=(2* 2^2+3)(2+2) \n \n \boxed{(f\cdot g)(2)=44}

Learn more:

Rigid transformations:brainly.com/question/13653482

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Answer:

C.(f • g)(2) = 44, the distance in miles the boat traveled

Step-by-step explanation:

A sample of 16 items from population 1 has a sample variance 5.8 and a sample of 21 items from population 2 has a sample variance 2.4. Test the following hypotheses at the .05 level of significance. H0: Population 1 Variance < Population 2 Variance Ha: Population 1 Variance > Population 2 Variance a. What is the p-value

Answers

Answer:

Reject the null hypothesis.

Step-by-step explanation:

n1 = 16

n2 = 21

S.V1 = 5.8

S.V2 = 2.4

\alpha = 0.05

H_(0) = Population Variance 1 ≤  Population Variance 2

H_(a) = Population Variance 1 >  Population Variance 2

Test statistic value = 5.8 / 2.4 = 2.417

Degrees of freedom is n - 1

15 and 20

Critical value is F_(0.05) = 2.2

2.417 > 2.2

we reject the null hypothesis as the critical value is greater than the test statistic.

Twenty percent of the town's population is over the age of 65. If there are 320 residents over the age of 65, what is the town's total population?

Answers

Answer:

There are 1600 residents.

Step-by-step explanation:

0.2 times x = 320  divide by 0.2

x = 1600

Answer:

65

Step-by-step explanation:

I think. hope this hepls

Which polygons have at least one pair of parallel sides but are not parallelograms? Choose all that apply.

Answers

The correct option is polygon E.

What are polygons?

A polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.

Given that, Which polygons have at least one pair of parallel sides but are not parallelograms,

Such polygons are called trapezoid.

A trapezoid, also known as a trapezium, is a flat-closed shape having 4 straight sides, with one pair of parallel sides.

Hence, the correct polygon is E.

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C, E, F, D I’m pretty sure

I need help with this problem

Answers

9514 1404 393

Answer:

  (a)  4 in²

Step-by-step explanation:

The volume of a rectangular prism is given by the formula ...

  V = Bh

where B is the area of the base, and h is the height of the prism.

We can find the area of the base by solving for B.

  B = V/h

  B = (12 in³)/(3 in)

  B = 4 in² . . . . . . . . . . matches the first choice

A portfolio has average return of 13.2 percent and standard deviation of returns of 18.9 percent. Assuming that the portfolioi's returns are normally distributed, what is the probability that the portfolio's return in any given year is between -43.5 percent and 32.1 percent? A. 0.950
B. 0.835
C. 0.815
D. 0.970

Answers

Answer:

B. 0.835

Step-by-step explanation:

We can use the z-scores and the standard normal distribution to calculate this probability.

We have a normal distribution for the portfolio return, with mean 13.2 and standard deviation 18.9.

We have to calculate the probability that the portfolio's return in any given year is between -43.5 and 32.1.

Then, the z-scores for X=-43.5 and 32.1 are:

z_1=(X_1-\mu)/(\sigma)=((-43.5)-13.2)/(18.9)=(-56.7)/(18.9)=-3\n\n\nz_2=(X_2-\mu)/(\sigma)=(32.1-13.2)/(18.9)=(18.9)/(18.9)=1\n\n\n

Then, the probability that the portfolio's return in any given year is between -43.5 and 32.1 is:

P(-43.5<X<32.1)=P(z<1)-P(z<-3)\n\nP(-43.5<X<32.1)=0.841-0.001=0.840
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