To draw a line that is parallel to 9x+12y=16, what should the slope of the line be?(1 point)

What is x when 2(x+3)=x-4

denpristay [2]

Answer:

$x=-10$

Step-by-step explanation:

First, use distribution to simplify

$2(x+3)=x-4\\2x+6=x-4$

Then, simplify further by combining like terms

$2x+6=x-4\\2x+10=x\\10=-1x$

Solve

$10=-1x\\x=-10\\$

8 0

2 years ago

Using the figure below identify 1 pair of the following angle relationships

tangare [24]

$\\1) \: \: \underline{ \sf{ Alternate \: interior \: angles \: \: : }}\\$

$\sf \implies \: 2\: \: and \: \: 7\\$

$\sf \implies \: 6\: \: and \: \: 3\\\\$

$\\2) \: \: \underline{ \sf{ Alternate \: interior \: angles \: \: : }}\\\\$

$\sf \implies \: 1\: \: and \: \: 8\\$

$\sf \implies \: 5\: \: and \: \: 4\\\\$

$\\3) \: \: \underline{ \sf{ Corresponding \: angles \: \: : }}\\$

$\sf \implies \: 3\: \: and \: \: 1\\$

$\sf \implies \: 5\: \: and \: \: 7\\$

$\sf \implies \: 4\: \: and \: \: 2\\$

$\sf \implies \: 6\: \: and \: \: 8\\\\$

$\\4) \: \: \underline{ \sf{ Consecutive\: Interior \: angles \: \: : }}\\$

$\sf \implies \: 2\: \: and \: \: 3\\$

$\sf \implies \: 6\: \: and \: \: 7\\\\$

$\\5) \: \: \underline{ \sf{ Consecutive\: Exterior \: angles \: \: : }}\\$

$\sf \implies \: 1\: \: and \: \: 4\\$

$\sf \implies \: 5\: \: and \: \: 8\\\\$

7 0

1 year ago

It costs a clothing company $463.45 to make 169 T-shirts.

Artemon [7]

Answer:

The unit price for 1 T-shirt is about $2.74.

Step-by-step explanation:

Set up an equation:

Variable x = unit price for 1 T-shirt

169x = 463.45

Divide both sides by 169:

x = 2.742307...

Round to the nearest cent:

x = 2.74

3 0

2 years ago

Which characteristics describe the scatterplot? Check all that apply.

denpristay [2]

Answer:

1. Negative Correlation

3. Strong Correlation

5. Linear

Step-by-step explanation:

We have been given a scatter-plot. We are asked to choose the characteristics of the given scatter-plot.

Upon looking at our given scatter-plot, we can see that as the values of x are increasing values of y are decreasing.

We know that the relationship between two variables in which one variable increases as the other decreases is known as negative correlation. Therefore, the given scatter-plot represents negative correlation and 1st option is a correct choice.

We can also see that the slope of the line connecting all data points is approximately $-1$ , which represents a strong negative correlation, therefore, 3rd option is correct as well.

If we draw a line on our given scatter-plot, it will connect all the data points. Therefore, the given scatter-plot has a linear correlation and 5th option is correct as well.

6 0

2 years ago

Read 2 more answers

As Sally and George practice for the SAT their scores on practice test rise Sally’s current score is 850 and it is rising by 10

aleksley [76]

Answer:

a) 7 weeks b) George's

Step-by-step explanation:

Sally's score can be modeled by 10x+850.

George's score can be modeled by 50x+570.

We can set them equal to each other to see when they intersect.

10x+850=50x+570

40x=280

x=7

If George overtakes her in the 7th week, of course he'll have the higher score in 12 weeks.

3 0

3 years ago