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

Answers

Answer 1

Step-by-step explanation:

Given equations :-

y = x²+ 8x + 12y = 2x - 13

Substitute (2) in (1) :-

2x - 13 = x² + 8x +12x² + 8x + 12 - 2x + 13 = 0 x² + 6x + 25 = 0 x = -6±√6²-4*1*25 /2*1 x = -6 ±√36-100/2 x = -6±√-64 / 2 x = -6 ± 8i / 2 x = -3 ±4i

Related Questions

-95
What is the quotient of
??
o
O
O
32
49
O )
12
2

-29

Answers

Answer:

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

The number name of 98745632 in indian system ​

Answers

Answer:

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

A rectangular solid measures 150cm by 100cm by 200cm calculate the volume, in cm3 and in dm3 show conversion factors

Answers

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]

Jenelle bought a home for $320,000, paying 24% as a down payment, and financing the rest at 5% interest for 30 years. Round your answers to the nearest cent.
How much money did Jenelle pay as a down payment? $

What was the original amount financed? $

What is her monthly payment? $

If Jenelle makes these payments every month for thirty years, determine the total amount of money she will spend on this home. Include the down payment in your answer. $

Answers

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:

320,000 x 0.24 = Down payment 76,800 = Down payment 243,200 x 1.05 ^ 30 = X 243,200 x 4.32 = X 1,051,096.38 = X 1,051,096.38 / (30 x 12) = X 2,919.71 = X 1,051,096.38 + 76,800 = 1,127,896.38

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

what is the answer for this equation 3x-2=2x+9

Answers

Answer:

x = 11

Step-by-step explanation:

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

X=11

Can you help me

algebra 1

Answers

See the picture above for the solution.

Which expression is equivalent to -6(-2/3+2x)

Answers

Answer:

4−12x

Step-by-step explanation:

4-12x hope this helps

Construct five examples of simple sentences.

Answers

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:

Solve for me please

Answers

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]

Yesterday, Maura made $142 at her waitressing job. $67 was tips, and the rest was her regular rate of $10 per hour. How long did Maura work yesterday?

Answers

142-67= 75
$75 divided by $10 = 7.5 hours

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.

To learn more on Equation click here:

https://brainly.com/question/10413253

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Which expression is equivalent to (3a)-2?
O
o
3a2
ܝ | ܝ | ܚ| ܘ ܩ|ܛܘ

Answers

Number 1 is correct 1/9a2

please help !!! thank you :)

Answers

Answer:

12

Step-by-step explanation:

2 ( - 2x + 6 )

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

= - 4x + 12

Does anyone know 1/4 x ? = -2?
Please scalping on a piece of paper or explain in the comment, that would be really helpful =]

Answers

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

Ratio table and please solve this it the picture I need it for homework

Answers

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.

pls help me with question 3

Answers

No. I can’t. Just wanting to get some points man, 5 would be nice.

Find a point-slope form for the line with slope 1/5 and passing through the point (-3, -8).

Answers

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

1/12 * n^3 =
how do you multiply these together

Answers

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].

What is the place value of the 1 in the number 6.213

Answers

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

Math Question for An assignment

Answers

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

what is 10/8 divided by 1/4

Answers

Answer:

5

Step-by-step explanation:

i think the answer is 5

James loves to run. This month he plans to run 25 times. If he runs 13 miles
each time he runs, how many total miles will James run? Write an equation and
then solve the problem,

Answers

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

25x13=325. i hope this helps

how to solve 700/2,5 with steps please​

Answers

The answer is 280 use a calculator

There is 1/2 cupcake left from

Answers

Answer:

each boy will get 1/4 of a cupcake

Step-by-step explanation:

1/2 ÷ 2= 1/4

Help omg if so thank you.

Answers

Answer:

35

Step-by-step explanation:

49*5/7

=35

35 is the corresct answer trust me!

The sum of a number (m) and 15 is 80. Which equation shows this relationship

Answers

Answer:

m+15=80

Step-by-step explanation:

A number plus 15 = 80

m + 15 =80

Solve: 4x − 9 = 39
help

Answers

Your answer would be 12

Answer:

Group into like terms. divide both sides by the coefficient of x

Based on your equation, what was the car’s approximate initial velocity (at time=0)?

Answers

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

How to find the equation of linear regression?

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:

Input: Time in seconds.Output: Velocity in m/s.

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.

A similar problem, also involving a line of best-fit, is given at https://brainly.com/question/22992800

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Bvtcctctctc CJ bububuv

Answers

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!!!!!!

how do you turn 4.90 into a fraction

Answers

Basically by writing it like 4.90/1 and multiplying the numerator and denominator by 10 for each digit after the decimal point 4.90/1=
4.90 *100
~~~~~~~~~ =490/100
1 * 100
In order to reduce the faction you find the greatest common factor for 490 and 100 .
The factors of 490 are : 1,2,5,7,10,14,35,49,70,98,245,490
The factors of 100 are : 1,2,4,5,10,20,25,50, 100
And the common factor is 10 to reduce the fraction you divide both the numerator and denominator by the gfc value
490 490/10
~~~~=~~~~~~~~ =49/10
100 100/10

20 cm
Den
mm
Base, heighi.
and lengu are
Above

Answers

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.

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