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3 years ago

8

Integers that satisfy the inequality 5x - 3 < 12?

1 answer:

melomori [17]3 years ago

5 0

To make it easier, we’ll solve for x, as you do.

To get rid of 3, add 3 to both sides.

5x < 15

Now divide by 5.

x < 3

x is less than 3.

Some integers that satisfy this equation are:

2, 2.9, -10, and anything else below the number 3.

You might be interested in

show that the sum of the x- and y- intercepts of any tangent line to the curve sqrt(x) sqrt(y) = sqrt(c) is equal to c.

expeople1 [14]

The answer is <span>√x + √y = √c </span>
<span>=> 1/(2√x) + 1/(2√y) dy/dx = 0 </span>
<span>=> dy/dx = - √y/√x </span>

<span>Let (x', y') be any point on the curve </span>
<span>=> equation of the tangent at that point is </span>
<span>y - y' = - (√y'/√x') (x - x') </span>

<span>x-intercept of this tangent is obtained by plugging y = 0 </span>
<span>=> 0 - y' = - (√y'/√x') (x - x') </span>
<span>=> x = √(x'y') + x' </span>

<span>y-intercept of the tangent is obtained by plugging x = 0 </span>
<span>=> y - y' = - (√y'/√x') (0 - x') </span>
<span>=> y = y' + √(x'y') </span>

<span>Sum of the x and y intercepts </span>
<span>= √(x'y') + x' + y' + √(x'y') </span>
<span>= (√x' + √y')^2 </span>
<span>= (√c)^2 (because (x', y') is on the curve => √x' + √y' = √c) </span>
<span>= c. hope this helps :D</span>

5 0

3 years ago

Does anyone how to do system equations but with 3 of them?

Serhud [2]

Answer:

is all the equations together or you need to solve each seperately?

8 0

3 years ago

20 points thank you to who ever

Travka [436]

Answer:

uh

Step-by-step explanation:

couldnt figure out how to leave XD

4 0

3 years ago

The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.02 level tha

docker41 [41]

Answer:

The p-value of the test statistic is 0.2019.

Step-by-step explanation:

Test if there is evidence at the 0.02 level that the medicine relieves pain in more than 384 seconds.

At the null hypothesis, we test if it relieves pain in at most 384 seconds, that is:

$H_0: \mu \leq 384$

At the alternative hypothesis, we test if it relieves pain in more than 384 seconds, that is:

$H_1: \mu > 384$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

384 is tested at the null hypothesis:

This means that $\mu = 384$

For a sample of 41 patients, the mean time in which the medicine relieved pain was 387 seconds. Assume the population standard deviation is 23.

This means that $n = 41, X = 387, \sigma = 23$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{387 - 384}{\frac{23}{\sqrt{41}}}$

$z = 0.835$

P-value of the test:

The p-value of the test is the probability of finding a sample mean above 387, which is 1 subtracted by the p-value of z = 0.835.

Looking at the z-table, z = 0.835 has a p-value of 0.7981.

1 - 0.7981 = 0.2019

The p-value of the test statistic is 0.2019.

4 0

3 years ago

Onion What is 0.89 miles subtracted from 7 miles?

Lynna [10]

7 miles - 0.89 miles = 6.11 miles

explanation now

we have.....

7.00

0.89

____

6.11

____

7 0

1 year ago