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3 years ago

Find the slope and the y-intercept of the line.

Mathematics

1 answer:

seropon [69]3 years ago

8 0

The answer y= -3x -1 and the work below

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What is the binomial expansion of (2x – 3)^5?

Tanya [424]

Answer:

Step-by-step explanation:

(2x + 3)^5 = C(5,0)2x^5*3^0 +

C(5,1)2x^4*3^1 + C(5,2)2x^3*3^2 + C(5,3)2x^2*3^3 + C(5,4)2x^1*3^4 + C(5,5)2x^0*3^5

Recall that

C(n,r) = n! / (n-r)! r!

C(5,0) = 1

C(5,1) = 5

C(5,2) = 10

C(5,3) = 10

C(5,4) = 5

C(5,5) = 1

= 1(2x^5)1 + 5(2x^4)3 + 10(2x^3)3^2 + 10(2x^2)3^3 + 5(2x^1)3^4 + 1(2x^0)3^5

= 2x^5 + 15(2x^4) + 90(2x^3) + 270(2x^2) + 405(2x) +243

= 32x^5 + 15(16x^4) + 90(8x^3) + 270(4x^2) + 810x + 243

= 32x^5 + 240x^4 + 720x^3 + 1080x^2 + 810x + 243

7 0

4 years ago

Read 2 more answers

A dog breeder would like to know how many Dalmatian puppies are typically born in a litter. He conducts some research and select

podryga [215]

Answer:

c. 6.2 ± 2.626(0.21)

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 101 - 1 = 100

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 100 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.99}{2} = 0.995$ . So we have T = 2.626

The confidence interval is:

$\overline{x} \pm M$

In which $\overline{x}$ is the sample mean while M is the margin of error.

The distribution of the number of puppies born per litter was skewed left with a mean of 6.2 puppies born per litter.

This means that $\overline{x} = 6.2$

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 2.626\frac{2.1}{\sqrt{101}} = 2.626(0.21)$

In which s is the standard deviation of the sample and n is the size of the sample.

Thus, the confidence interval is:

$\overline{x} \pm M = 6.2 \pm 2.626(0.21)$

And the correct answer is given by option c.

5 0

3 years ago

I’ll give a brainiest to the correct answer!!!!

Kay [80]

Answer: 7
Explanation: both triangles are congruent, so the mid segment is half of 14

5 0

3 years ago

Read 2 more answers

Find the interest principle 8000 rate .06 compounded annually years 3

HACTEHA [7]

Answer:

535.07

Step-by-step explanation:

S=P(1+ i) ^n

i= nominal rate of interest / number of compounding periods

i =. 06/12

=0.18

Divided by 100

=0.0018

n- number of times interest is given per year x the number of years

n=12x3

=36

8000(1+0.0018)^36

=8535.07

Interest

8535.07 - 8000

=535.07

7 0

3 years ago

What is the domain of the function in the graph above?

alexdok [17]

Answer: [-1,infinity)

Step-by-step explanation:

4 0

4 years ago