PLEASE HELP!

What is the equation of the line that passes through the point (6, -6) and has a slope of (-2, -2)

shutvik [7]

Answer:

y = -1/2x -3

Step-by-step explanation:

The steps to solve this include finding the slope of the line and finding the point where the line crosses the y axis.

Slope is Rise over Run or difference of the y values over the difference of the x values.

Rise = difference between -6 and -2 = 4

Run = difference between 6 and -2 = 8

So slope is 4/8. The line slants downward from left to right so the slope is also negative. Slope = - 4/8 or simplified to - 1 / 2

To find the y intercept, use the slope-intercept form equation:

y = mx + b where m is your slope and b is the y intercept. Solve for b and use one or both of your points that you were given along with your slope.

-6 = -1/2(6) + b OR -2 = -1/2(-2) + b

-6 = - 3 + b -2 = 1 + b

-3 = b -3 = b

Now you can use your calculated slope and calculated b to form your equation.

y = mx + b

y = - 1/2x -3

4 0

3 years ago

What is 4 4/15 plus 1/5 equals

telo118 [61]

4 7/15

You can only add fractions if they have the same denominator, which in this case is the 15 and the 5. So you can't add the 1/5 and the 4/15 together just yet because its not the same denominator. Multiply 3/3 to 1/5 to get the same denominator as 4/15, and it would become 3/15 because whatever you do to the top, you do to the top. Add them together and you get 7/15, and then add the whole 4 and you get 4 7/15

4 0

3 years ago

Read 2 more answers

In a study of the impact of smoking on birth weight, researchers analyze birth weights (in grams) for babies born to 189 women w

kompoz [17]

Answer:

c. Smoking is associated with lower birth weights. When smokers are compared to nonsmokers, we are 95% confident that the mean weight of babies born to nonsmokers will be between 76.5 grams to 486.9 grams more than the mean birth weight of babies born to smokers.

Step-by-step explanation:

The difference in mean birth weights (nonsmokers minus smokers) is 281.7 grams with a margin of error of 205.2 grams with 95% confidence.

Then, we know that the 95% confidence interval is (76.5, 486.9)

$LL=M-MOE=281.7-205.2=76.5\\\\UL=M-MOE=281.7+205.2=486.9$

a. We are 95% confident that smoking causes lower birth weights by an average of between 76.5 grams to 486.9 grams.

False, it interprets the confidence interval as a probability for individual cases. The confidence interval is a range for the population mean.

b. There is a 95% chance that if a woman smokes during pregnancy her baby will weigh between 76.5 grams to 486.9 grams less than if she did not smoke.

False, it interprets the confidence interval as a probability for individual cases. The confidence interval is a range for the population mean.

c. Smoking is associated with lower birth weights. When smokers are compared to nonsmokers, we are 95% confident that the mean weight of babies born to nonsmokers will be between 76.5 grams to 486.9 grams more than the mean birth weight of babies born to smokers.

True.

d. With such a large margin of error, this study does not suggest that there is a difference in mean birth weights when we compare smokers to nonsmokers.

There is enough evidence, as the lower bound of the confidence is positive. This means that there is only a probability of 0.05/2=0.025 that the true mean weight difference is smaller than 76.5 grams.

6 0

4 years ago

Which function is the inverse of f (x) = 2x + 8?

tiny-mole [99]

Answer:

f-1(x) = (x-8)/2

Step-by-step explanation:

f(x) = 2x+ 8

y = 2x + 8

replacing y and x

x = 2y + 8

2y = x- 8

y =( x-8)/2

f-1 (x) =( x-8)/2

3 0

3 years ago

A high school is having a pancake breakfast fundraiser. They have 4 packages of pancake mix that each feed 120 people. The funct

horrorfan [7]

Answer:

If

$1 \leqslant no \: packages = m \leqslant 4$

then

0

$x = no \: members \: cooking \: team \leqslant n$

Step-by-step explanation:

Imagine the space they need to host at least 120 people so they could open the second package and finish before noon

5 0

4 years ago