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2 years ago

How does the y-intercept play a role in graphing a line?

1 answer:

7 0

<span> the y-intercept is the point where the graph of the line crosses the y-axis. It helps u with the formula to find the slope and function of numbers depending on the problem</span>

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The graphs below have the same shape. What is the equation of the blue

d1i1m1o1n [39]

Answer:

Step-by-step explanation:

4 0

3 years ago

What is the sum of the geometric sequence −4, 24, −144, ... if there are 8 terms?

Helga [31]

Answer:

The sum of 8 geometric sequence is 959780

Step-by-step explanation:

We are given

this sequence is geometric

-4 , 24 , -144

First term is -4

so, $a_1=-4$

now, we can find common ratio

$r=\frac{24}{-4}=-6$

we can use formula

$S_n=a_1(\frac{1-r^n}{1-r} )$

n=8

now, we can plug values

$S_8=-4(\frac{1-(-6)^{8}}{1+6} )$

now, we can simplify it

and we get

$S_8=959780$

4 0

3 years ago

Find the volume of the solid of revolution formed by rotating about the x--axis the region bounded by the given curves.

hichkok12 [17]

Answer:

$2\pi(e^2-e^{-4})$

Step-by-step explanation:

We are given: $f(x)=2e^x$

So, the integral will be used to calculate the volume.

$V = \pi\int\limits^1_{-2}(2e^x)^2dx=\pi\int\limits^1_{-2}4e^{2x}dx=2\pi e^{2x}|^1_{-2} =2\pi(e^2-e^{-4})$

5 0

3 years ago

When mrs. myles gave a test, the scores were normally distributed with a mean of 72 and a standard deviation of 8. this means th

irina [24]

The empirical rule states that in a normal distribution,
68% of data is within 1 std deviation of the mean
95% of data is within 2 std deviation of the mean
99.7% of data is within 3 std deviation of the mean

In this case 95% of the cases would be within two std deviations of the mean
mean - 8 and mean + 8
72 - 8 = 64 and 72 + 8 = 80

then 95% of the scores are between 64% and 80% on the test.

5 0

2 years ago

Which number is irrational

ollegr [7]

Answer:

sqrt(32)

Step-by-step explanation:

7 0

2 years ago