Consider the following two quadratic equations.
4x ^ 2 - 12x + 4 = - 4
- x ^ 2 + 4x - 3 = 0
What solution is true for BOTH equations?

Answers

Answer 1

Answer:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero. x=2,1

2. Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

x=3,1

Step-by-step explanation:

Hope it is helpful.....

Answer 2

Answer:

x = 1

Step-by-step explanation:

Solving the equations

4x² - 12x + 4 = - 4 ( add 4 to both sides )

4x² - 12x + 8 = 0 ( divide terms by 4 )

x² - 3x + 2 = 0 ← in standard form

(x - 1)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 2 = 0 ⇒ x = 2

-------------------------------------

- x² + 4x - 3 = 0 ( multiply through by - 1 )

x² - 4x + 3 = 0 ← in standard form

(x - 1)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 3 = 0 ⇒ x = 3

The solution that is true for both equations is x = 1


Related Questions

13. Town officials are putting a pathway around a pool as shown below.
(4x+3)
pool
(2x-5) ft
deck
a) Determine the perimeter of the pool in terms of x. Write your answer in simple form and
include units. Show or explain your work.
b) Determine the area of the pool in terms of x. Write your answers as a trinomial and include
units. Show or explain your work.

Answers

Answer:

ghcfgnxfgxgfmvjbnjghjbnmxfhcgxfgcxgchmvjm

Step-by-step explanation:

good day

3 times the sum of a number and 8​

Answers

Answer:

uh 3x+24 only if the the number is x if it is definite just plug it in to the equation

Step-by-step explanation:

-8a^2+40a=
this is a factoring question

Answers

Answer:

-8a(a-5)

Step-by-step explanation:

-8a^2+40a

-8a(a-5)

PLS HELP!! BRAINLIEST!!

Answers

Answer:

Look below :)

Step-by-step explanation:

To find the relative frequencies, divide each frequency by the total number of students in the sample–in this case, 4 + 6 + 4 + 3 + 3. Which gives us 20. So for A grade, 4/20 people got it, which is 20%. We do that for the rest of them:

B = 6/20 = 30%

C = 4/20 = 20%

D = 3/20 = 15%

E = 3/20 = 15%

Now for the second question, the most is 30%, so most students got B. I hope this helps and please makr brainliest! <3

Triangle D E F is shown. Angle D E F is a right angle. The length of hypotenuse DF is 13, the length of E F is 5, and the length of E D is 12.
What is the length of the side opposite ∠D?


units

sin(D) =

Answers

Answer:

5 and 5/13

Step-by-step explanation:

What is the length of the side opposite ∠D?

✔ 5

units

sin(D) =

✔ 5/13

Juan tiene 15 años más que Antonio. Dentro 10 años, la edad de Juan será el doble que la de Antonio¿ Cuantos años tienen los dos?

Answers

Antonio tiene 5 y Juan tiene 20

PLEASE HELP, THIS IS DUE IN 20 MINUTES
Given the following proportion, solve for the length of the triangle "n".
n/4 = 12/(n-2)

Answers

1,000,000,000,000,000,000
N = {-6, 8} Im pretty sure

An airplane on autopilot took 9 hours to travel 6,471 kilometers. What is the unit rate for kilometers per hour?

Answers

Answer:

719 kilometers

Step-by-step explanation:

6,471/9 = 719

that's the unit rate

Answer:

719

Step-by-step explanation:

6,471/9=719

719*9=6,471

which means the correct answer is 719

YW!!

How would you solve this question?

Answers

Answer:

K

Step-by-step explanation:

techincally, I don't know if I am right, but there is more than one answer. The boundries/restrictions of what length DF could be are 2.477 < x < 8.477

The predicted costs of an average electric car and an average gasoline car after 2030, are represented by the following tables:

Answers

Answer:

they are both exponential funtions

Step-by-step explanation:

because i got it wrong and im telling you the answer

Answer: Both exponential

Step-by-step explanation:

Khan Academy- answered before and got it right

Pls help me with this I have 5 minutes to do this I will give brainleast plzz

Answers

Answer:

The answer for the first one is 1/2.

The answer for the second one is -1/1

Step-by-step explanation:

Hope that helps you :)

A company has 200 employees there are 150 female employees. 40 employees are under the age of 20. The probability of randomly selecting an employee who is female or is under the age of 30 is 85%. What is the probability of randomly selecting an employee who is female and under the age of 30?

Answers

Answer and explanation:

Probability= number of favorable outcomes/ total number of outcomes

Probability of selecting an employee who is female= number of female employees/ total number of employees

Probability of selecting an employee who is female= 150/200

Probability of selecting an employee who is under 30= number of employees under 20/ total number of employees

Probability of selecting an employee who is under 30 = 40/200

Probability of randomly selecting an employee who is female and under the age of 30= Probability of selecting an employee who is female × Probability of selecting an employee who is under 30

Probability of randomly selecting an employee who is female and under the age of 30= 150/200×40/200=15/20×4/20=3/20= 0.15

Therefore there's a 15% chance of selecting an employee who is female and under the age of 30

Danielle makes $5,000 per week as a surgeon. Soon she will receive a 15% raise. How much money will she make per week after this raise? $750 54.250 55.150 55.750 $7,500​

Answers

Answer:

50000

Step-by-step explanation:

Answer:

$50,000 would be the answer

Step-by-step explanation:

Find the weight of one ciricle

Answers

Answer:

Weight Calculator

Standard conversion factors.

1) MILD STEEL (MS)

MS SQUARE. WEIGHT (KGS ) = WIDTH X WIDTH X 0.00000785 X LENGTH. ...

MS ROUND. WEIGHT (KGS ) = 3.14 X 0.00000785 X ((diameter / 2)X( diameter / 2)) X LENGTH. ...

SS ROUND. DIA (mm) X DIA (mm) X 0.00623 = WEIGHT PER METRE. ...

SS / MS CIRCLE. ...

SS sheet. ...

S.S HEXAGONAL BAR.

Step-by-step explanation:

Solve the linear equation.
2.25 - 11j - 7.75 + 1.5j = 0.5j - 1
A. j = -0.45
B. j = -0.25
C. j = 0.25
D. j = 0.45

Answers

A. The end equation is -10j=4.5 so you would need a negative answer to make the negative ten a positive and matching 4.5

Answer:

Solve the linear equation [tex]2.25 - 11 - 7.75 + 1.5j= 0.5j - 1[/tex]

[tex]j[/tex] = –0.45

[tex]j[/tex]  = –0.25

[tex]j[/tex] = 0.25

[tex]j[/tex] = 0.45

Simplify [tex]2.25 - 11j - 7.75 + 1.5j[/tex] .

Subtract [tex]7.75[/tex] from [tex]2.25[/tex] .

[tex]- 11j - 5.5 + 1.5j = 0.5j -1[/tex]

Add [tex]-11j[/tex] and [tex]1.5j[/tex] .

[tex]- 9.5j - 5.5 = 0.5j - 1[/tex]

Move all terms containing [tex]j[/tex] to the left side of the equation.

Subtract [tex]0.5j[/tex] from both sides of the equation.

[tex]- 9.5j - 5.5 = 0.5j - 1[/tex]

Subtract [tex]0.5j[/tex] from [tex]- 9.5j[/tex].

[tex]- 10j - 5.5 = - 1[/tex]

Move all terms not containing [tex]j[/tex] to the right side of the equation.

Add [tex]5.5[/tex] to both sides of the equation.

[tex]-10j = -1 +5.5[/tex]

Add [tex]-1[/tex] and [tex]5.5[/tex] .

[tex]10j=4.5[/tex]

Divide each term in [tex]-10[/tex][tex]j[/tex] [tex]=4.5[/tex] by [tex]-10[/tex] and simplify.

Divide each term in [tex]-10j = 4.5[/tex] by [tex]-10[/tex].

[tex]\frac{-10j}{-10} = \frac{4.5}{-10}[/tex]

Simplify the left side.

Cancel the common factor of [tex]-10[/tex].

[tex]j= \frac{4.5}{-10}[/tex]

Cancel the common factor.

[tex]\frac{-10j }{-10} = \frac{4.5}{-10}[/tex]

Divide [tex]j[/tex] by [tex]1[/tex]

[tex]j=\frac{4.5}{-10}[/tex]

Simplify the right side.

Divide [tex]4.5[/tex] by [tex]-10[/tex].

[tex]j=-4.5[/tex]

The Final Answer is

[tex]j=-4.5[/tex]

An air conditioning repair company has a flat
service fee and charges an hourly rate. One
customer pays $180 for two hours of work.
Another pays $230 for three hours of work.
Write a linear function for this situation. Use h
For the number of hours.
C(h) =

Answers

Answer:

Step-by-step explanation:

Due in 20 please help

The polygons are similar. Find the values of
the variables. Write an equation and solve,
showing ALL the work.

Answers

It tells you they are similar. This means the angles are the same, and the sides are proportionate.

Look at the 12 and 4 at the very bottom. This tells you the ratio of the sides. Since 12 / 4 = 3, you can find y with 2 * 3 which is 6.

From that, you also know that 3z = 3y - 2. Substitute the value of y in and you can find z.

Corresponding angles are exactly the same. which means, (3x)° = 100°

You should get x = 33 1/3, y = 6, z = 5 1/3

banda ayudenme con este punto de una tarea es sobre la sustracción de números enteros
19 - ( - 12 )
- 6 - ( - 27 )
( -18 ) - 4
( - 82 ) - 9
18 - ( - 2 )
( - 12 ) - ( - 11 )

LA RESPUESTA YA LA SE LO Q NECESITO ES EL PROCEDIMIENTO!! gracias :3​

Answers

Answer:

Step-by-step explanation:

19-(-12)=19+12=31

-6-(-27)=-6+27=21

(-18)-4=-18-4=-22

(-82)-9=-82-9=-91

18-(-2)=18+2=20

(-12)-(-11)=-12+11=-1

The last one is the answer i think

keusisdnrnsusjdhhrnrksysskrkridbebrb thank you​

Answers

Answer:

ur welcome

Step-by-step explanation:

Plzz write with formula and explanation plzzzzzzzz answer fast

Answers

Answer:

Rs 19 1/8

Step-by-step explanation:

Fromm the above question, we are told that:

The cost of 2/3 meters of rope = Rs 12 3/4

We are asked to calculate the cost per meter of rope.

Hence:

2/3 meters of rope = Rs 12 3/4

1 meter of rope = Rs x

Cross Multiply

2/3x = 1 × 12 3/4

x = 12 3/4 ÷ 2/3

x = 51/4 ÷ 2/3

x = 51/4 × 3/2

x = 153/8

x = Rs 19 1/8

Therefore, the Cost per meter of rope = Rs 19 1/8

Which of these graphs represents a function?
-5-4-3-2-1, 1 2 3 4 5
-5-4-3-2-11
-5
-5
w.
X.
.4-3-2-1,
1 2 3
5-4-3-2-13
1 2 3 4 5
.51
Y.

Answers

Since each value of the input is mapped to only one value of the output, we have that graph w represents a function.

When does a graph represents a function?

When it has no vertically aligned points, that is, each value of x is mapped to only one value of y.

Hence, in this problem, graph w represents a function.

More can be learned about functions at https://brainly.com/question/12463448

#SPJ1

Answer:

it's A have a good day

Step-by-step explanation:

INVENT A STORY PLEASE

Answers

Answer:

Jada fills up her aquarium for 2 minutes then goes to the bathroom for 1 minute then continues filling her aquarium to 30cms for 4 minutes then stops and eats lunch by that time she is done.

Step-by-step explanation:

I don’t really know what I’m doing but I tried. Good luck!

Help - I’m failing math and I might get held back so please just help

Answers

Answer:

[tex] \frac{y}{34} [/tex]

Step-by-step explanation:

Cosine is the adjacent side of the triangle divided by the hypotenuse.

The numerator is going to be the side adjacent to the angle 53

So the top number is y.

The hypotenuse is the side opposite of the right angle. So the bottom number is 34

At Garcia's Bike Rentals, it costs $45 to rent a bike for 8 hours. How many hours of bike use does a customer get per dollar?

Answers

Answer:

5

Step-by-step explanation:

Answer:

$0.09/minute

Step-by-step explanation:

$45/8 hours is $5.63 per hour

There is 60 minutes in an hour.

So you do $5.63/60 minutes and it's about $0.09

So it's 9 cents per minute

hope this helps :)

Find the lowest common multiple. 4 and 22

Answers

Answer:

44

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

hope this helps

Which number makes the equation true?

blank divided by eighteen equals one third

Question 13 options:

32


24


12


6

Answers

Answer:

6

Step-by-step explanation:

x/18 = 1/3

3x = 18

x = 6

An octagonal prism has...........lateral faces.
8
2
7
5

Answers

Answer:

an octagonal prism has 8 lateral faces

Answer:

8

Step-by-step explanation:

An octagonal prism has 8 lateral faces.

An octagonal prism has 10 faces – 8 lateral faces and 2 bases, 16 vertices, and 24 edges

hellppp fast plzzzzzz​

Answers

i cant see it that much

Answer:

49? I think

Step-by-step explanation:

E
С
70
A
D
B
What is mZDEA?
OA) 20°
OB) 70°
OC) 90°
OD) 180°

Answers

I would say 180 but its just a guess
90 degrees it is a right angle

What is the recursive formula for the following sequence? 3,9,27,81

Answers

Answer:

243

Step-by-step explanation:

multiply each number by 3

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