Given the equations x^2 + 8x + 12 = 0 and 3x + 6 = 0, what is the common
solution?

Given The Equations X^2 + 8x + 12 = 0 And 3x + 6 = 0, What Is The Commonsolution?

Answers

Answer 1

[tex] {x}^{2} + 8x + 12 = 0 \\ = > {x}^{2} + 6x + 2x + 12 = 0 \\ = > x(x + 6) + 2(x + 6) = 0 \\ = > (x + 2)(x + 6) = 0 \\ = > x = - 2 \: \: or \: \: - 6[/tex]

[tex]3x + 6 = 0 \\ = > 3x = - 6 \\ = > x = \frac{ - 6}{3} \\ = > x = - 2[/tex]

Here, the common solution is -2.

Answer:

x = -2.

Hope you could get an idea from here.

Doubt clarification - use comment section.


Related Questions

The table below shows the number of minutes a household phone is used daily based on the number of household members.

Which equation best models this set of data?

A. P = -20.2x^2 - 1.3
B. P= -20.2x - 1.3
C. P= 20.2X^2 + 1.3
D. P= 20.2x + 1.3

Answers

I'm pretty sure the answer would be D) P = 20.2x + 1.3 but the answer should be P = 19.2x + 1.3, but it isn't listed so it would be D

Can someone please help !!

Answers

The correct answer would be the first one

help please 6(l+3)<3(2l+6)

Answers

Answer:

No solution

Step-by-step explanation:

Expand and simplify both expressions:

6l+18 < 6l+18

6l+18-18 < 6l+18-18

6l < 6l

0 < 0

Therefore, there is no solution

20 Points Please Help

Answers

1. 31, 37, 43, 49, 55

That’s all I know from this I apologize, I’m only a freshman in hs lol
Good luck and Merry Christmas, happy holidays

Solve for W if:
4w^2+9w=-2

Answers

I think the answer is w1=-2, w2=-.25
Hope it helps

Evaluate to function for the given value of X

Answers

[tex]\text{Given that,}\\\\\\f(x) = 9x^3 -x^2 +2 \\\\f(2) = 9(2^3) - 2^2 +2\\\\~~~~~~~ = 9(8) -4 +2 \\\\~~~~~~~= 72 -2 \\\\~~~~~~~=70[/tex]

9 + (-6) = 3 is this correct

Answers

Answer:

yes u are correct,it's does equal that

Solve for percent error: At a school production, the drama club advisor
predicted that there would be 200 people on the first night. Find the
percent error if 250 people attend.

Answers

Answer:

25 %

Step-by-step explanation:

Error = (actual - predicted) / (predicted)

= (250-200) / 200

= 50 / 200

= 0.25

multiply by 100 to conver to a percent

25 %

The image below represents a Function. Describe what is happening in this "machine".

Answers

Answer:

The input is being multiplied by 10.

This can be represented with the function x * 10 = y with x representing the input and y representing the output.

Step-by-step explanation:

Please help me and If your answer is wrong or not appropreat I will report it

Simplify (-2x^(3)y^(7))^(2)(3x^(2)y^(2))^(5)

Answers

Answer:

972 x^16 y^24

Step-by-step explanation:

Simplify the following:

(-2 x^3 y^7)^2 (3 x^2 y^2)^5

Multiply each exponent in -2 x^3 y^7 by 2:

(-2)^2 x^(2×3) y^(2×7) (3 x^2 y^2)^5

2×7 = 14:

(-2)^2 x^(2×3) y^14 (3 x^2 y^2)^5

2×3 = 6:

(-2)^2 x^6 y^14 (3 x^2 y^2)^5

(-2)^2 = 4:

4 x^6 y^14 (3 x^2 y^2)^5

Multiply each exponent in 3 x^2 y^2 by 5:

4 x^6 y^14×3^5 x^(5×2) y^(5×2)

5×2 = 10:

4×3^5 x^6 y^14 x^(5×2) y^10

5×2 = 10:

4×3^5 x^6 y^14 x^10 y^10

3^5 = 3×3^4 = 3 (3^2)^2:

4×3 (3^2)^2 x^6 y^14 x^10 y^10

3^2 = 9:

4×3×9^2 x^6 y^14 x^10 y^10

9^2 = 81:

4×3×81 x^6 y^14 x^10 y^10

3×81 = 243:

4×243 x^6 y^14 x^10 y^10

4 x^6 y^14×243 x^10 y^10 = 4 x^(6 + 10) y^(14 + 10)×243:

4×243 x^(6 + 10) y^(14 + 10)

14 + 10 = 24:

4×243 x^(6 + 10) y^24

6 + 10 = 16:

4×243 x^16 y^24

4×243 = 972:

Answer: 972 x^16 y^24

Answer:

972x^(16)y^(24)

Step-by-step explanation:

Hope it correct !!

How i can answer this question?, NO LINKS, if you answer correctly i'll give u brainliest!

Answers

Answer:

9

Step-by-step explanation:

The coefficient is always the number before the variable (X).

Answer:9

Step-by-step explanation:

The coefficient is always by the variable (the number or letter)

Without doing any calculations, is positive or negative?

Explain your reasoning.

Answers

Is WHAT positive or negative?

Answer:

what is positive or negative???

Select the four equivalent expressions to 4x^2 - 4x -24

A - 2x^2 - 2x - 12

B - 4(x^2 - x - 6)

C - 4(x - 3)(x + 2)

D - (2x - 2x)^2 - 24

E - (4x - 12)(x +2)

F - (x - 3)(4x + 8)

Answers

Answer:

b. 4(x^2 - x - 6)

c. 4(x - 3)(x + 2)

e. (4x - 12)(x +2)

f. (x - 3)(4x + 8)

hope it helps :)

mark brainliest!!


8-kg lead brick falls from a height of 1.6 m.
(a) Find its momentum as it reaches the ground.
Ikg-m/s
(b) What Impulse is needed to bring the brick to rest?
N-s
(c) The brick falls onto a carpet, 2.0 cm thick. Assuming the force stopping it is constant, find the average force the carpet exerts on the brick
N
(d) If the brick falls onto a 6,0 cm foam rubber pad, what constant force is needed to bring it to rest?

Answers

The magnitude of the impulse needed to bring the brick to rest is given by the initial momentum of the brick.

The correct responses are;

(a) 44.8 kg·m/s(b) 44.8 N·s(c) 6,278.4 N(d) 2,092.8 N

Reasons:

The velocity of the brick as it reaches the ground is given by the formula;

v² = 2·g·h

v = √(2·g·h)

Where;

h = The height of the brick, h = 1.6 m

g = The acceleration due to gravity ≈ 9.81 m/s²

Therefore;

v ≈ √(2 × 9.81 m/s² × 1.6 m) ≈ 5.6 m/s

(a) Momentum = Mass × Velocity

The momentum of the brick = 5.6 m/s × 8 kg = 44.8 kg·m/s

(b) Impulse = Force × Δt = Mass × Δv

Mass × Δv = 8 kg × (5.6 m/s - 0) = 44.8 kg·m/s = 44.8 N·s

Therefore, the impulse = 44.8 N·s

(c) The distance over which the carpet stops the brick = 2.0 cm = 0.02 m

Initial energy in the brick, E = m·g·h

Which gives;

E = 8 kg × 9.81 m/s² × 1.6 m = 125.568 J

Energy = Force × Distance

[tex]\displaystyle Force \ carpet \ exerts \ on \ brick, \ F = \frac{125.568 \, J}{0.02 \, m} = \mathbf{ 6,278.4 \, N}[/tex]

The average force the carpet exerts, F = 6,278.4 N

(d) If the brick falls on a foam which is 6.0 cm (thickness), we have;

Distance = 6.0 cm = 0.06 m

Therefore;

[tex]\displaystyle Force, \, F = \frac{125.568 \, J}{0.06 \, m} = \mathbf{2,092.8 \, N}[/tex]

The constant force needed to bring the brick to rest is, F ≈ 2,092.8 N

Learn more about force and energy here:

https://brainly.com/question/6366228

https://brainly.com/question/528149

what is 7.5% as a fraction

Answers

Answer:

15/2

Step-by-step explanation:

hope it helps (•‿•)

Please help, we're supposed to be writing an equation from the table here. But I don't know.​

Answers

Answer:

y = 3x - 3

Step-by-step explanation:

This more of a guess than a reality of method. You have to try and guess which number when multiplied by 4 will give 9. It won't happen directly.

The best clue is provide by (0,-3).

So let's start with a general linear equation.

y = mx + b

If you put in 0 for x then mx disappears and you are are left with y = - 3

That means that b = - 3

So now you have

y = mx - 3  

Now try another one

y = mx - 3

y = 9

x = 4

9 = mx - 3

9 = 4m - 3            Add 3 to both sides

9+3 = 4m-3+3      Combine

12 = 4m                Divide by 4

12/4 = 4m/4        

3 = m

So the equation you want so far, is y = 3x - 3               Does it work for anything else?

Try - 3 , - 12 . If it works for this, it should work for anything.

y = 3*-3 - 3

y = -9 -3

y = - 12

and it does work, so that's your answer.

Point A=(7,9) is dilated from the origin by scale factor of r=11. what are the coordinates of point A

Answers

Answer:

42 and 54

Step-by-step explanation:

468 divided by 3 step by step solution

Answers

Answer:

156

Step-by-step explanation:

468 ÷ 3

= 156

hope u liked the answer :)

#keep learning

how do you know how many points are needed to make a graph of a polynomial function from a table? are there a safe number of points to make the graph of any polynomial function? if so, what is that number? please help, explain well if possible

Answers

Step-by-step explanation:

You need a arbitrary points that will help you determine the sketch of the graph. I say use at most 5 points but you just need to know the following

The exterma: The maximum/minimum points on a certain interval.

The zeroes: What values willTheorem, Factoring, and more to help you find the zeroes.

Increasing and decreasing behavior between the consective zeroes: How the function behaves around consective zeroes. It must be above or below x axis between the zeroes.

And finally, the end behavoir: How the function behaves as x approaches infinity and negative infinity. Does the function increases or decreases.

That it. If you need an example, just ask me

If Delta FGH sim Delta KJH find FH .​

Answers

Answer:

39

Step-by-step explanation:

Two triangles are similar so we can use the similarity ratio to calculate the value of x this way we can find the length of FH

(x+8)/32 = (4x-25)/52 cross multiply expressions

52x + 416 = 128x - 800 export like terms to the same side of equation

416 + 800 = 128x - 52x

1216 = 76x divide both sides by 76

16 = x then the length of FH

4*16 - 25 = 39

pls help on my maths

Answers

Answer:[tex]r = 2.82[/tex]Step-by-step explanation:

Given:

[tex]A = 25[/tex]

Let's simplify.

=> [tex]25 = \frac{22}{7} r^{2}[/tex]=> [tex]\frac{25}{\frac{22}{7} } = \frac{\frac{22}{7}r^{2} }{\frac{22}{7\\} }[/tex]=> [tex]\frac{7(25)}{22} = r^{2}[/tex]=> [tex]\sqrt{\frac{25(7)}{22}}= \sqrt{r^{2}}[/tex]=> [tex]\sqrt{\frac{25(7)}{22}}= r[/tex]=> [tex]r = 2.82[/tex] (Estimated)

Therefore, r ≈ 2.82.

Hoped this helped.

Answer:

r= 5/√  π

or

r=2.820948 or simplified =2.82

Step-by-step explanation: it could be either one of these

A quadratic. equation will always have an irrational solution since there is a square root in the quadratic formula. True or False?​

Answers

Answer:

False

Step-by-step explanation:

If the square root can be simplified to a rational number the solution will not be irrational.

Answer:

False

Step-by-step explanation:

Consider reducible quadratic equations. They have rational solutions.

HELPPP ASAPPPPPPPPPPP

Answers

I can't see it can you retake the picture please so I can try to help if I know it?

A man left 1⁄2 of his property to his wife 1/3 of the remainder to his eldest
son and the rest to be divided equally among his five younger children,
each of whom got p60,000. How much did his wife get?

Answers

Answer: p800,000

Step-by-step explanation:

1/2         to wife

1/3         to eldest son, and

Rest(x)   to 5 youngest children

(1/2) + (1/3) + x = 1  [The sum of the shares will equal 1 estate]

(3/6) + (2/6) + x = 1

(5/6) + x = 1

x = (1/6); to be divided among the 5 youngest children

We find that each young child receives p60,000.  That group of five received 5*(60,000) = p300,000, which represents (1/6) of the total estate (Estate).

We can write:    (1/6)*(Estate) = p300,000

Estate = p1,800,000

The wife hauled in 1/2 of this, so she received p800,000.

Officer Brimberry wrote 32 tickets for traffic violations last week, but only 12 tickets this week. What is the percent decrease? Give your answer to the nearest tenth of a percent. [The percent decrease is___%​

Answers

Answer:

62.5 %

Step-by-step explanation:

you have to subtract 32-12, which equals 20

then divide 20 by the original amount (20/32)

20/32= .625, then you have to multiply to get the final answer...hope this helped!

Solve the equation.
7- 3n = 11n+ 2

Answers

if ur solving for n then its -2
n=-1/4
3n-11n=11n+2-11n

Katarina bought a package of 500 stickers. 25% of the stickers are hearts. The remaining stickers are stars. Select all the statements that are true.

Answers

Answer: 125 hearts and 375 stars

Step-by-step explanation:

25% of 100 is 25. Take 100 and x it by 5. 100 x 5 is 500 making 25 x 5 125. That being said 125 hearts and 375 stars

Answer:

125 hearts and 375 stars

Step-by-step explanation:

A freight ship has been moving at 19 miles per hour for the past 2 days. Hugo recorded that the ship moved 155 miles yesterday and 92 miles today. For how many hours has Hugo been keeping track of the​ ship?

Answers

Answer:

13 hours

Step-by-step explanation:

155 + 92 = 247

247 / 19 = 13

brainliest if correct




Solve.

−49x+2.4=6

Enter your answer as a decimal or as a mixed number in simplest form in the box.

x =
$\text{Basic}$

Answers

Step-by-step explanation:

[tex] - 49x + 2.4 = 6 \\ - 49x = 6 - 2.4 \\ - 49x = 3.6 \\ x = \frac{3.6}{ - 49} \\ x = - \frac{18}{245} = - 0.0735[/tex]

a *blank* *blank* trinomial has only one element in the solution set

Answers

Answer:

a solution set trinomial has only one element in the solution set

Step-by-step explanation:

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