solve the following system using substitution y=x^2+8x+12, y=-2x-13

From the intercept of the line of best-fit, the car’s approximate initial velocity was of 5.7 m/s.

To find the regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator. These points are given on a table or in a scatter plot in the problem.

For this problem, the input and the output are defined as follows:

Hence the points are given by:

(2, 13.1), (4, 19.8), (6, 28.1), (8, 34.6).

Using these points and a calculator, the equation is:

v = 3.64s + 5.7

The intercept of 5.7 represents the initial velocity in m/s.

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Answer:

500

Step-by-step explanation:

Volume of a triangular prism formula

The volume formula for a triangular prism is (height x base x length) / 2, as seen in the figure below: ( attatchment )

So, you need to know just three measures: height, base, and length, in order to calculate the volume.

Answer:

Open the jar carefully.

Read the directions.

Don't cry.

Use common sense.

Make the best of things.

Catch up!

She doesn't study German on Monday.

Does she live in Paris?

He doesn't teach math.

Cats hate water.

Every child likes an ice cream.

Step-by-step explanation:

Answer:

(n^3)/12

Step-by-step explanation:

1/12 * n^3

= (n^3)/12

Answer:

[tex]\sqrt[3]{\frac{1}{12} }[/tex] * n

Step-by-step explanation:

You want to get the n alone. In order to do that, you need to get rid of the 3rd power. The opposite of a power is a radical. So do:

[tex]\sqrt[3]{\frac{1}{12} }[/tex] * [tex]\sqrt[3]{n^3}[/tex]

This cancels out the n and turns the problem into:

[tex]\sqrt[3]{\frac{1}{12} }[/tex] * [tex]n[/tex]

I can't solve for n since I haven't been given the entire problem (what they're equal to), but you can solve for [tex]\sqrt[3]{\frac{1}{12} }[/tex].

Answer:

A) [tex]y+7=-3(x-4)[/tex]

Step-by-step explanation:

Hi there!

The given equations are written in point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where m is the slope of the line and [tex](x_1,y_1)[/tex] is a point that falls on the line

Notice how the line is travelling infinitely down as x increases. This means that the slope is negative.

Therefore, the equation of the line is either A or B.

Now, let's look at A:

[tex]y+7=-3(x-4)[/tex]

This equation suggests that the point (4,-7) falls on the line, which it does.

Therefore, the equation of the graph is [tex]y+7=-3(x-4)[/tex].

I hope this helps!

Answer: A.) y + 7 = - 3 ( x - 4 )

Step-by-step explanation:

i didnt know i was a graph lolz im just playin have a nice day kind person and sorry for answering late!!!!!!

Answer:

5

Step-by-step explanation:

i think the answer is 5

Answer:

-8

Step-by-step explanation:

1/4 x = -2

You want the value of x. x is being multiplied by 1/4. To get x alone on the left side, you need to divide both sides by 1/4. Dividing by 1/4 is the same as multiplying by 4.

Multiply both sides of the equation by 4.

4 * 1/4 x = -2 * 4

4 * 1/4 = 1, so on the left side you get 1x which is just x.

x = 8

Answer: -8

the answer is 8

Step-by-step explanation:

1/4×8=-2

She paid $ 76,800 as down payment, the original amount financed was $ 243,200, her monthly payment was $ 2,919.71, and the total amount she will spend on this home is $ 1,127,896.38.

Given that Jenelle bought a home for $ 320,000, paying 24% as a down payment, and financing the rest at 5% interest for 30 years, to determine how much money did Jenelle pay as a down payment, what was the original amount financed, what is her monthly payment, and the total amount of money she will spend on this home, the following calculations must be made:

Therefore, she paid $ 76,800 as down payment, the original amount financed was $ 243,200, her monthly payment was $ 2,919.71, and the total amount she will spend on this home is $ 1,127,896.38.

Learn more in https://brainly.com/question/16711082

Answer:

each boy will get 1/4 of a cupcake

Step-by-step explanation:

1/2 ÷ 2= 1/4

Answer:

m+15=80

Step-by-step explanation:

A number plus 15 = 80

m + 15 =80

See the picture above for the solution.

Answer:

[tex] - 2 {x}^{9} [/tex]

Answer: y = 5/2x + 4

Step-by-step explanation:

y = 5/2x + c

1) Substitute

-6 = 5/2(-4) + c

-6 = -10 + c

-6 + 10  = c

4 = c

y = 5/2x + 4 or

y = 2.5x + 4

Answer:

4,12,8            in this order

Step-by-step explanation:

The ones on the top row are double the ones on the bottom row. So the ones on the bottom are half of the number that is above it.

Answer:

The hundredths place

Expanation

6 is in the one's place

2 is in the theth's place

1 is in the hundredth's place

3 is in the thousandth's place

i think it would be y+8=1/5(x+3)

Step-by-step explanation:

point slope formula is y-y1=m(x-x1)

slope=m

m=1/5

If Maura made $142 at her waitressing job. $67 was tips, and the rest was her regular rate of $10 per hour then she worked for 7.5 hours.

The total amount she made is the sum of her tips and her regular rate:

Total Earnings = Tips + Regular Rate

Given that:

Tips = $67

Regular Rate = $10 per hour

Total Earnings = $142

We can set up the equation:

142 = 67 + 10h

Now, solve for "h" (the number of hours Maura worked):

10h = 142 - 67

10h = 75

h = 75 / 10

h = 7.5

Hence, Maura worked for 7.5 hours yesterday.

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Answer:

35

Step-by-step explanation:

49*5/7

=35

Answer:

x = 11

Step-by-step explanation:

3x-2x=9+2 1st and 2nd principle

X=11

Answer:

3000000cm³

3000dm³

Step-by-step explanation:

150cm x 100cm x 200cm = 3000000cm³

[tex](3000000cm^{3}) (\frac{(10)^{3}(dm)^{3} }{(100)^{3}(cm)^{3} }) = 3000dm^{3} [/tex]

Answer:

325

Step-by-step explanation:

All you have to do is 25 x 13

25 x 13 = 325

So he will run a total of 325 miles

Answer:

4−12x

Step-by-step explanation:

Answer:

Answer:

[tex]{ \rm{10x + 5y + 2z = 5}} \\ { \rm{4x - 5y - 5z = 8}} \\ { \rm{3x + 5y + 4z = 1}}[/tex]

• First find x

[tex]{ \rm{10x = 5 - 5y - 2z - - - (i)}}[/tex]

• Find y

[tex]{ \rm{4x = 8 + 5y + 5z - - - (ii)}}[/tex]

• Find z

[tex]{ \rm{3x = 1 - 5y - 4z - - - (iii)}}[/tex]

equate the three equations:

[tex]{ \rm{0z - 10= 2y}} \\ \\ { \boxed{ \bf{y = - 5}}}[/tex]

Find z

[tex]{ \rm{z = ( - 1 \times - 5)}} \\ \\ { \boxed{ \bf{z = 5}}}[/tex]

Find x

[tex]{ \rm{3x + 5y + 4z = 1}} \\ \\ { \rm{3x - 25 + 20 = 1}} \\ \\ { \rm{3x = 6}} \\ \\ { \boxed{ \bf{x = 2}}}[/tex]

Answer:

12

Step-by-step explanation:

2 ( - 2x + 6 )

= 2 ( - 2x ) + 2 ( 6 )

= - 4x + 12

Answer:

nine crore eighty seven lakh forty five thousand six hundred thirty two is the answer