The point-slope form of ay line is:

y-y1=m(x-x1), where m=slope and (x1,y1) is any point on the line.

In this case we are given that m=-12 and (x1,y1) is (5,3) so

y-3=-12(x-5)

8 0

3 years ago

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A rectangular carpet is 2 times as long as it is wide. Its width is 5

rewona [7]

Answer:

30 units

Step-by-step explanation:

If the w=5 and we know that the length is 2(5)=10

For perimeter, there are two sides.

2(10)+2(5)=30 units

7 0

1 year ago

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Solve the formula 2x+3y=12 for y

rjkz [21]

Answer:

y=4−2x/3

Step-by-step explanation:

Move all terms that don't contain y to the right side and solve.

3 0

2 years ago

the linearized regression equation for an exponential data set is log y=0.23 + 0,08, where x is the number of years and y is the

irga5000 [103]

Answer:

Population = 691.83 (rounded = 692)

Step-by-step explanation:

The equation is:

$Logy=0.23x+0.08$

When there is no base written with log, we assume "base 10", so we can say:

$Log_{10}y=0.23x+0.08$

Now, we need to find the population (y) when x = 12. Lets plug in 12 into x:

$Log_{10}y=0.23x+0.08\\Log_{10}y=0.23(12)+0.08\\Log_{10}y=2.84$

Now, we change to exponential form by using the formula shown below:

$Log_{10}x=b\\10^b=x$

So, we have:

$Log_{10}y=2.84\\y=10^{2.84}$

Evaluate using calculator to get:

$y=10^{2.84}\\y=691.83$

The population after 12 years, would be 691.83, rounded, 692

8 0

3 years ago