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

Write a rule for the linear function in the table.


A.
y = 1.2x + 2.4


B.
y = –1.2x – 2.4


C.
y = 1.2x – 2.4


D.
y = –1.2x + 2.4

Answers

Answer:

the answer is B

Step-by-step explanation:

the y-intercept is -2.4 and the y-values were descending and b was the only that has a y-in. of -2.4 and a negative slope (-1.2x)

Answer: Gradpoint answer

B.    y = –1.2x – 2.4

Step-by-step explanation: My answer

A.    y = 1.2x + 2.4

It takes a landscaper 75 minutes to plant a tree. He spent a total of 450 minutes planting trees
one day. Using t to represent the number of trees he planted, which equation can be used to
represent this situation? How many trees did the landscaper plant that day

Answers

Answer:

450 divided by 75 = t

he plated 6 trees

Step-by-step explanation:

Answer: 75t = 450 ; 6 trees

Step-by-step explanation:

To get t by itself, we have to divide 75t by 75. 75t ÷ 75 = t

You also divide the other side by 75 to keep the sides equal. 450 ÷ 75 = 6 trees

I am not a professional, simply using prior knowledge!

Note- It would mean the world to me if you could mark me brainliest!

A principal simulated a student raffle using 500 trials and recorded the grade level of the winner each time. The results are shown in the table.
Based on the data from the simulation, what is the probability that the winner will be in Grade 11?

Answers

Answer:

0.16

Step-by-step explanation:

Given the data:

Students __ `Gr_9 __Gr_10 __ G_11 __G_12

Frequency : 152 ___130 ______ 80 ___98

The probability is :

Frequency of grade 11 / number of trials

80 / 500

Please help me pass due​

Answers

Answer:

226.98 rounded equals 226.98!

Have a great day!

Which value from the set
{1/2, 2/3, 4/3,5/2} is a value of x that will make the equation 3/4 + x = 9/8 true?
a.2/3
b.4/3
c.5/2
d.1/2

Answers

Answer:

2/3

Step-by-step explanation:

that does not say + it a division sign  how to got 2/3

(3/4) / x = (9/8)

To solve this equation, we want x alone so we start by multiplying x on both sides like this:

((3/4) / x)x = (9/8)x

Which equals:

(3/4) = (9/8)x

Then we divide each side by 9/8 to like this:

(3/4) / (9/8) = ((9/8)x) / (9/8)

(3/4) / (9/8) is 2/3 and ((9/8)x) / (9/8) leaves x which means we end up with x = 2/3. Therefore, the answer to "3/4 divided by what equals 9/8?" is as follows:

2/3

It is always good to double-check your math to make sure you did it right. When we entered 2/3 for x in this equation (3/4) / x = (9/8), we get the following true equation which means our math is correct.

(3/4) / (2/3) = (9/8)

The value of x will be 2/3

What is an equation?

Equation: An equation is basically a statement that equates two expressions.

An equation must contain an "equality" sign.

Given,

3/4 + x = 9/8

Let us make it correct . Replace + sign with / to get the required answer.

(3/4) / x = (9/8)

To solve this equation, we want x alone so we start by multiplying x on both sides like this:

((3/4) / x)x = (9/8)x

(3/4) = (9/8)x

Then we divide each side by 9/8 to like this:

(3/4) / (9/8) = ((9/8)x) / (9/8)

(3/4) / (9/8) is 2/3 and ((9/8)x) / (9/8) leaves x which means we end up with x = 2/3.

Therefore, the answer to "3/4 divided by what equals 9/8?" is as follows:2/3

Know more about equations,

https://brainly.com/question/30287865

#SPJ2

If the length of the longest side of the rectangle is 20cm find the shaded area to the nearest hundredth

Answers

Answer:

Step-by-step explanation:

diameter of each circle = 20/2 = 10 cm

rectangle is 20 cm by 10 cm

area of rectangle = 20×10 = 200 cm²

radius of each circle = 10/2 = 5 cm

area  of each circle = πr² = 25π cm²

shaded area = 200  - 2(25π) = 200 - 50π =42.92 cm²

Describe y= -3x+4 in words.

Answers

Answer:

y=-3x+4

put x =0

y=-3(0)+4

y=4

putx=1

y=-3(1)+4

y=-3+4

y=1

Graph a line with a slope of -3/4 that contains the point (2,3).

Answers

Answer:

y = -3/4x + 4.5

Step-by-step explanation:

I will mark you brainliests help me with this please ​

Answers

Answer:

[tex]G=cos(x) -1[/tex]

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



A line has equation 2x + y=20 and a curve has equation y=a+
18/x-3, where a is a constant.
Find the set of values of a for which the line does not intersect the curve

Answers

Answer:

we have two equations:

2*x + y = 20

y = a + 18/x - 3

We want to find the values of a such that the graphs of the equations do not intersect.

The first step is to isolate y in the first equation.

now we get:

y = 20 - 2*x

Then we have the system of equations:

y = 20 - 2*x

y = a + 18/x - 3

If the line intersects the curve at a point (x, y), then at that point both functions have the same value of y, then:

20 - 2*x = y = a + 18/x- 3

We want to find a value of such that this does not happen.

Let's solve that equation and see what we can find.

20 - 2*x =  a + 18/x - 3

20 + 3 = a + 18/x + 2*x

23 = a + 18/x + 2*x

(23 - a) = 18/x + 2*x

if we multiply all values by x, we get:

(23 - a)*x = 18 + 2*x^2

Then we have a quadratic equation, we can write this as:

2*x^2 - (23 - a)*x + 18 = 0

Now, remember that if the determinant of the quadratic function is smaller than zero, then the function does not have any real solution, then we need to find a such that the determinant of this quadratic equation is smaller than zero.

Remember that for a quadratic equation:

a*x^2 + b*x + c = 0 is:

b^2 - 4*a*c

In this case, the determinant is:

(-(23 - a))^2 - 4*2*18

(23 - a)^2 - 144

And this must be smaller than zero, then:

(23 - a)^2 - 144 < 0

23^2 - 2*23*a + a^2 - 144 < 0

529 - 46*a + a^2 - 144 < 0

a^2 - 46*a + 385 < 0

Notice that the function has a positive leading coefficient, then the arms of the function go upwards, then the region of the function that is smaller than zero is the values of a that are between both roots of a.

Then we need to solve:

a^2 - 46*a + 385 = 0

We can use the Bhaskara's equation to find the roots, the roots are given by:

[tex]a = \frac{-(-46) +- \sqrt{(-46)^2 - 4*1*385} }{2*1} = \frac{46 +-24}{2}[/tex]

Then the two roots are:

a₁ = (46 + 24)/2 = 35

a₂ = (46 - 24)/2 = 11

Then for all the values of a suc that:

11 < a < 35

The line does not intersect the curve.

12.92 divided by 3.4 And if you can put how you solved it that also would be great​

Answers

Answer:

The answer is 3.8

Step-by-step explanation:

Change the divisor 3.4 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.

We then have the equations:

129.2 ÷ 34 = 3.800000

and therefore:

12.92 ÷ 3.4 = 3.800000

Both calculated to 6 decimal places.

( In 3.800000, you can take away the zeros, which will be equal to 3.8 )

I hope this was helpful! :)

Here is the assignment : You are "selling" the polynomial. You must convince the buyer you have the Best polynomial on the market by describing as many of its specific characteristics.
(Have fun and be creative, but most importantly, be accurate to avoid bad reviews)

Here is your Polynomial: f(x)=x^3-10x^2+28x-24

Answers

Step-by-step explanation:

A polynomial is an expression that can be built from constants and symbols called variables or indeterminates by means of addition, multiplication and exponentiation to a non-negative integer power. Two such expressions that may be transformed, one to the other, by applying the usual properties of commutativity, associativity and distributivity of addition and multiplication, are considered as defining the same polynomial.

A polynomial in a single indeterminate x can always be written (or rewritten) in the form

{\displaystyle a_{n}x^{n}+a_{n-1}x^{n-1}+\dotsb +a_{2}x^{2}+a_{1}x+a_{0},}a_{n}x^{n}+a_{n-1}x^{n-1}+\dotsb +a_{2}x^{2}+a_{1}x+a_{0},

where {\displaystyle a_{0},\ldots ,a_{n}}a_{0},\ldots ,a_{n} are constants and {\displaystyle x}x is the indeterminate.[2][3] The word "indeterminate" means that {\displaystyle x}x represents no particular value, although any value may be substituted for it. The mapping that associates the result of this substitution to the substituted value is a function, called a polynomial function.

This can be expressed more concisely by using summation notation:

{\displaystyle \sum _{k=0}^{n}a_{k}x^{k}}{\displaystyle \sum _{k=0}^{n}a_{k}x^{k}}

That is, a polynomial can either be zero or can be written as the sum of a finite number of non-zero terms. Each term consists of the product of a number – called the coefficient of the term[a] – and a finite number of indeterminates, raised to nonnegative integer

Each unit on the grid represents 5
feet. About how far, in feet, is the
drinking fountain from
the bench?
A. 8.5 feet
B. 37.1 feet
C. 33.5 feet
D. 42.7 feet

Answers

Answer:

There's no grid but I'd say A if you can give me the grid I'll edit my answer

Step-by-step explanation:

Is (1,5) a solution of the graphed system of inequalities?

Answers

Answer: No


Explanation: Because the line don’t go through (1,5) it doesn’t even touch those numbers.

Answer:it’s No

Step-by-step explanation:

I got it right

The point (-7,3) is on the line given by which of the equations below?
A. y = 3x
B. y= 7x
C. y= x + 10
D. y= x-10
what equation?

Answers

The answer is c (y=x+10).

worth 30 points !!!!!

Answers

Answer:

a

Step-by-step explanation:

the line model shows 2 halfs of 4/10

The answer should be a

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 :)

TWENTY POINTS
PLEASE HELP ASAP DONT STEAL POINTS


Multiplying the radical by a number between 0 and 1 causes the graph of the parent function ( f(x)= √x ) to ___________.

Answers

Answer:

FOR YOU LOVE

Step-by-step explanation:

If a function is defined by a radical expression, we call it a radical function. The square root function is f(x)=√x f ( x ) = x . ... A radical function is a function that is defined by a radical expression.

THE PIC IN ABOVE IS EQUATION TRY TO ANSWER IT

PLEASS MARK ME AS BRAINLIEST LOVE YOU STAY SAFE

a bus travels for 24 minutes at 54m/s

Answers

Answer:

distance: 77760 meters

Step-by-step explanation:

24 min = 24*60 sec = 1440 sec

54m/s * 1440 s = 77760 m

Answer:

the bus went 77760 m/s in 24 minutes

Step-by-step explanation:

convert 24 minutes to seconds

24 min= 1440 seconds

54x1440= 77760

(i hope this is what you're asking)

PLEASE PLEASE HELP HELP PLEASE

Answers

Answer:

1. product 2. difference 3. quotient 4. sum 5. dividend

4. Consider the right triangle below.
If the perimeter is 1,013 units, find the value of x and the area of the
triangle.
16x + 27
14x - 45
25x
The value of x is
The area is
square units.

Answers

Answer:

16x+27+14x-45+25x=1013 units

X= 18.75

Area= b × h × (1/2)

A= 1/2 × 327 × 217.5 = 35561.25 units^2

Answers:

x = 1031/55 = 18.74545 approximatelyarea = 35,542.92 square units approximately

==============================================================

Explanation:

The perimeter is the sum of the exterior sides. We'll add up these three sides

16x+2714x-4525x

and set the sum equal to the perimeter 1013

The equation we need to solve is

(16x+27)+(14x-45)+(25x) = 1013

Solving for x leads to...

(16x+27)+(14x-45)+(25x) = 1013

16x+27+14x-45+25x = 1013

(16x+14x+25x)+(27-45) = 1013

55x-18 = 1013

55x = 1013+18

55x = 1031

x = 1031/55

x = 18.74545 approximately

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

Use this x value to find the length of each side. I'll use the decimal form of x. We get the following side lengths:

16x+27 = 16*(18.74545) + 27 = 326.927214x - 45 = 14*(18.74545) - 45 = 217.436325x = 25*(18.74545) = 468.63625

Those values are approximate.

We can then find the area of the triangle

area = (1/2)*base*height

area = (1/2)*(326.9272)*(217.4363)

area = 35,542.92036868

area = 35,542.92

The area is approximate as well.

(Look at photo for reference)

Answers

Answer:

B

Step-by-step explanation:

6% is usually represented by 0.06

Hope this helped :)

Does anyone know how to solve this?

Answers

Answer:

A point in polar coordinates is written as (R, θ)

If we want to transform this point to rectangular coordinates, we get:

x = R*cos(θ)

y = R*sin(θ)

Now we can remember that the sine and cosine functions have a period of 2*pi, then:

cos(θ) = cos(θ + 2*pi)

or:

cos(θ) = cos(θ + 2*pi + 2*pi)

and so on.

Then the point (R, θ) is the same as (R, θ + 2*pi) and (R, θ + k*(2*pi))

where k can be any integer number.

Then if we have a point in polar coordinates:

(-4, -5*π/3)

Then another two polar representations of this point are:

(-4, -5*π/3 + 2*π) = (-4, -5*π/3 + 6*π/3) = (-4, π/3)

Now we can not add 2*π (nor subtract) because we would have an angle outside the range [-2*π, 2*π]

For example, if we have:

(-4, π/3 + 2*π) = (-4, 7*π/3)

And we can not change the value of the radius and get the coordinates for the same point.

So another representation could be something like:

(-8/2, π/3)

Where i just wrote -4 in another way.

Now, a really important point.

When working with polar coordinates, we always use R as a positive number (here you can see that R is negative) so this is not the standard notation for the polar representation of a point.

In slope-intercept form ?

Answers

Jdjdjdjdmdjodkekeodkkd

Answer:

A) $5.5= 0.25(17)+0.05(n) where n = nickels

B) 25 nickels

Step-by-step explanation:

Jeff purchased 5 items at the same price and 1 item for $2.95. What was the individual price of the 5 items if Jeff’s total was 18.90 before tax?

Answers

Answer:

the answer is 3.19

Step-by-step explanation:

multiply 3.19x5 then add the 2.95

Find a. Round to the nearest tenth.

Answers

Answer:

use for formula a^2+b^2=c^2 to execture

*" ^ "  means square or to the power of two

Step-by-step explanation:


Evaluate -4 x (2 + -3).

Answers

Answer:

positive 4

Step-by-step explanation:

you first add the numbers in the numbers in the brackets

2+-3=-1

-4×-1=+4

Step-by-step explanation:

-4×(2+(-3) )

= -4×(2-3)

=-4×-1

= 4

1. "Six less than twice a murider."
A. 6 - 2x
B. 2x - 6
C. 6x-2
D. 2 - 6x
2. "Five times the sum of a number and four."
A. 5y + 4
B. 4(y + 5)
C. 5 + 4y
D. 5(y + 4)
3. Which is the correct translation of the given 2(m - 3)?
A. Twice difference of 3 and miste C. Twice the difference of m and 3.
6. Twice the sum of m and 3.6
D. Twice the sum of m and 3.
4. "Ten less than thrice the a number"
A. 10 - 3b
B. 3b - 10
C. 106 - 3
D. 3 - 10b
5. Given, m - 4, complete this: 4
A. minus
B. diminished by
a number
C. subtracted from
D. decreased by
6." The ratio of 7 and a number decreased by 2."
A. 7/(x-2)
B. (71x) - 2
C. 7X-2
D. 7 - 2/x
7. "The difference of 10 and k divided by 4 yields to 2."
A. (10-k)/4 = 2 B. 10 - (k/4) = 2 C. 10K/4 = 2
D.K-10/4 = 2
8. "Four times the sum of 12 and y is equal to 60.
A. 4y + 12 = 60 B. 4 + 12y
C. 4(12) + y = 60 D. 4(12 + y) = 60
9. All of the following are correct except
2x + 4; Twice a pumber
A. increased by B. added to
C. plus
D. more than
= 60
10. "8 times a number decreased by 13 becomes 3."
A. 8x + 13 = 3 B. 86- 13 = 3
C. 13 - 8x = 3
D. 13 + 8x = 3

branleast kpo ang sasagot neto

Answers

Answer:

C. 6x-2D. 5(y + 4)C. Twice the difference of m and 3.B. 3b - 10B. diminished bya numberB. (7/x) - 2A. (10-k)/4 = 2D. 4(12 + y) = 60D. more than= 60B. 8x- 13 = 3

1. "Six less than twice a murider."

A. 6 - 2x

B. 2x - 6

C. 6x-2

D. 2 - 6x

2. "Five times the sum of a number and four."

A. 5y + 4

B. 4(y + 5)

C. 5 + 4y

D. 5(y + 4)

3. Which is the correct translation of the given 2(m - 3)?

A. Twice difference of 3 and miste C. Twice the difference of m and 3.

6. Twice the sum of m and 3.6

D. Twice the sum of m and 3.

4. "Ten less than thrice the a number"

A. 10 - 3b

B. 3b - 10

C. 106 - 3

D. 3 - 10b

5. Given, m - 4, complete this: 4

A. minus

B. diminished by

a number

C. subtracted from

D. decreased by

6." The ratio of 7 and a number decreased by 2."

A. 7/(x-2)

B. (71x) - 2

C. 7X-2

D. 7 - 2/x

7. "The difference of 10 and k divided by 4 yields to 2."

A. (10-k)/4 = 2 B. 10 - (k/4) = 2 C. 10K/4 = 2

D.K-10/4 = 2

8. "Four times the sum of 12 and y is equal to 60.

A. 4y + 12 = 60 B. 4 + 12y

C. 4(12) + y = 60 D. 4(12 + y) = 60

9. All of the following are correct except

2x + 4; Twice a pumber

A. increased by B. added to

C. plus

D. more than

= 60

10. "8 times a number decreased by 13 becomes 3."

A. 8x + 13 = 3 B. 86- 13 = 3

C. 13 - 8x = 3

D. 13 + 8x = 3

branleast kpo ang sasagot neto

Factor: k^2 + 7x + 10
A:(k+10)(k+4)
B:(k+2)(k+5)
C:(k+2)(k-5)
D:(k-2)(k-5)

Answers

Answer:

the answer is B. (k+2)(k+5)

Answer:

a

Step-by-step explanation:

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