Two functions are given.
f(x)=-x^2+3x-2
g(x)=-x+1
What is one value for x such that f(x)=g(x)?

Answers

Answer 1

Hi

f(x) = g(x)   if    -x²+3x-2   - ( -x+1) = 0

                      -x² +3x-2 +x-1 = 0

                      -x² +4x -3 = 0

To solve, tou have to use the general method of resolution of a quadratic fonction.  

To determine if it's has a solution in R, let's calculate  Δ

Δ = (4)² - 4 * (1) *(-3)

Δ = 16 +12

Δ= 28  

as Δ≥ 0  so  the function allow two solution within R  

so S 1 =  ( -4 +√28) / 2            S 2 =   (-4 -√28 ) /2

    S1 =   ( -4 + 2√7) /2            S2 =    (-4 - 2√7) /2

    S1 =    (2 (-2 +√7) /2            S2      2 (-2 -√7)   /2

    S1 =    -2 +√7                       S2 =      -2 -√7

So the two function  are equal   twice. one  for   x = -2 +√7  and second x = -2-√7


Related Questions

I need help with this ASAP PLZ!!!!!!!!

Answers

Answer:

4. y = 2x -6

5. y = -x + 3

6. y = -[tex]\frac{1}{3}[/tex]x - 1

7. m= -4 and b=3

8. m= 1 and b=-7

9. y = 0.08x + 3

10. y= 3x - 19

11. y= -3x + 5

Step-by-step explanation:

Use the equation y = mx + b; where m is the slope and b is the y-intercept

4. given: m = 2 and y-int = -6; plug into equation

y = mx + b

y = 2x -6

5. given: m = -1 and y-int = 3; plug into equation

y = mx + b

y = -x + 3

6. given: m = -1/3 and y-int = -1; plug into equation

y = mx + b

y = -[tex]\frac{1}{3}[/tex]x - 1

7. given: y=-4x+3; slope m and y-intercept b are

m= -4

b=3

8. given: y=x-7; slope m and y-intercept b are

m= 1

b=-7

9.  the monthly of $3 is fixed or starts the month; which is the y-intercept (another way to say is it is at 0 minutes) so b = 3.  Now the rate is $0.08 per minutes and the rate is the same as the slope, m= 0.08

Using equation y=mx+b; substitute

y = 0.08x + 3

10.  Given: (6,-1) and m= 3

use y=mx+b; substitute the y point into equation

-1 = 3x + b; substitue the x point into equation

-1 = 3(6) + b; solve for b

b = -19; now plug back into equation

y = mx + b or y= 3x - 19

11.  Given: (2,-1) and m= -3

use y=mx+b; substitute the y point into equation

-1 = -3x + b; substitue the x point into equation

-1 = -3(2) + b; solve for b

b = 5; now plug back into equation

y = mx + b or y= -3x + 5

i will give 100 pionts and branlyest to anyone who gits this right

If a scale drawing uses a scale of 1:12, then 2 1/2 inches on the model represents 2 1/2 feet. TrueFalse

Answers

Answer:

true

Step-by-step explanation:

True just do 2 1/2 times 12 (if you changed the answer to feet you would get 2 1/2 feet) or multiply 1 by 12 two times (24 inches) (represents the two inches converting into feet) then 1/2 times 12 (6 inches) (represents the half the inch getting multiplied by 12/ converting into feet).

slove the equation f-(-4)=12.
f =-8.
f =16.
f =8.
f = -9​

Answers

Step-by-step explanation:

f-(-4)=12(Remove brackets)

f--4=12(Negative and negative is going to give you positive)

f+4=12(Group Like Terms)

f=12-4(Subtract)

f=8

Then that will be the final answer

Answer:

[tex]\huge\boxed{f=8}[/tex]

Step-by-step explanation:

[tex]f-(-4)=12\to f+4=12\qquad|(-)(-)\to(+)\\\\f+4=12\qquad|\text{subtract 4 from both sides}\\\\f+4-4=12-4\\\\f=8[/tex]


Which system of equations represents the graph?

Answers

Answer:

B

Step-by-step explanation:

if you look at the line one going up, the y axis is at the negatives meaning it begins as -5 . Then notice how it goes up 3 times and it goes to the right once. So the slope is 3/1 or simplified 3 so we know the slope intercept form is = y is 3x-5. Now we look at the second one. None of the answers of the second one are in slope intercept form. for that you have to turn them into it. When you do that for B will be y= -1/2x + 2. When you look at the line the y axis is 2 and the slope is -1/2x.

A new cookbook is becoming popular. The local bookstore ordered 4 copies in October, 6
copies in November, 9 copies in December, and 13 copies in January. If this pattern
continues, how many copies will the bookstore order in February?

Answers

Answer:

18 book copies

Step-by-step explanation:

As you can see, there is a pattern where you add the next number after x. To find where to start, let's subtract the numbers we were given:

6 - 4 = 2

9 - 6 = 3

13 -9 = 4

So our next number is to add 5 to 13: 5 + 13 = 18, so in February the bookstore will order 18 books.

I hope this helped, please mark Brainliest, thank you!

What is the mapping notation that will transform triangle ABC to triangle A'B'C'?

IF ANYBODY HAS ANSWERS TO THE TEST IM WILLING TO CASH APP

Answers

Answer:

Down 5 and left 3.

Step-by-step explanation:

Answer:

So it goes-8 for x and -5 for y aka to the left by 8 and down by 5

Step-by-step explanation:

plsss help me out i’m really having trouble a trying to figure this out

Answers

I'm pretty sure it's C. Both.

Answer:

only table A is a function

Table B has two inputes with the same outpute so it is impossible to be a function. but two of the same inputes can have different outputs

ILL GIVE BRAINLIEST + 3O POINTS
Estimate the value of each square root by finding a whole number greater than and a whole number less than the square root
√ 15
√ 24
√ 7
√ 48
√ 83
√ 105

Answers

Answer:

i guess you have to find square root of every number

like of 15 is 3,87 therefore higher than it is 4 and less than it 3

Answer:

4 and 35 and 43 and 27 and 610 and 911 and 10

Step-By-Step Explanation: (Rounded to nearest hundred)

Square Root 15 = 3.87; rounded up: 4, rounded down: 3Square Root 24 = 4.90; rounded up: 5, rounded down: 4Square Root 7 = 2.65; rounded up: 3, rounded down : 2Square Root 48 = 6.93; rounded up: 7, rounded down: 6Square Root 83 = 9.10; rounded up: 10, rounded down: 9Square Root 105 = 10.24; rounded up: 11, rounded down: 10

1. The following image shows a perspective view of one story building what perspective is the image you seen what do points A and B represent explain why
2. The following shows the image of the same building from a different perspective what perspective does a drawing show explain why

Answers

Answer:

1. Two point perspective view

The points A and B represents vanishing points where the sets of parallel lines representing the edges of the building converges

2. One point perspective view

The view shows the drawing of the building by lines that are parallel to the line of sight of viewer that converges to a (vanishing) point

Step-by-step explanation:

Solve using Elimination

3x+y=-9
y=5x+7

Answers

Answer

x=-2 and y=-3

Step-by-step explanation:

Step: Solvey=5x+7for y:

Step: Substitute5x+7 for y in 3x+y=−9:

3x+y=−9

3x+5x+7=−9

8x+7=−9(Simplify both sides of the equation)

8x+7+−7=−9+−7(Add -7 to both sides)

8x=−16

8x/8=−16/8

(Divide both sides by 8)

x=−2

Step: Substitute−2 for x in y=5x+7:

y=5x+7

y=(5)(−2)+7

y=−3(Simplify both sides of the equation)

Find the area of the triangle.

Answers

Answer:

1325 yards squared

Step-by-step explanation:

As a reminder, the area of any triangle is the height times the width times 1/2. Therefore, the area is:

50*53*1/2

=25*53

=1325 yards squared

Answer:

The answer is 1325.

Step-by-step explanation:

1825-500=1325

I need helppppp I forgot how to do this :(

Answers

a=associates / p=partners

1a= $800 / 1p= $1500

(6)a + (2)p = 800 x 6 + 1500 + 2 = $7800

(x)a + (y)p = $z

hope this helps :)

help me plz with algebra!!!

Answers

Answer:

Y= -12

Step-by-step explanation:

How many solutions does the system have?

y= -5x - 1
y = -5.2 + 7

Answers

Answer:  y= -5x - 1

y = -5.2 + 7

Step-by-step explanation: y= -5x - 1 has 3.    y = -5.2 + 7  has 1

use the elimination method to solve the system of equations. choose the correct ordered pair x-y=2 2x+3y=14

Answers

Answer:

x = 4

y = 2

Step-by-step explanation:

x - y = 2

   x = 2 + y

2x + 3y = 14

  2(2 + y) + 3y = 14

  4 + 2y + 3y = 14

  4 + 5y = 14

  5y = 10

   y = 2

x - y = 2

  x - 2 = 2

  x = 4

Answer:

4,2

Step-by-step explanation:

Choose a justification for each step in the derivation of the sine difference identity.

Step 1:

Step 2: Distributive property

Step 3: Associative property

Step 4: Factoring out –1

Step 5:

Step 6:

Step 7:

Answers

The Sine difference function was derivated with the help of the sine sum function.

What is the sine difference function?

The difference function for the sine function states that the sine of the difference of two angles equals the product of the sine of the first angle and cosine of the second angle minus the product of the cosine of the first angle and the sine of the second angle.

As we know that

[tex]Sin(a+b) = SinaCosb + CosaSinb[/tex]..........(1)

If we replace b by -b equation (1) becomes

[tex]Sin(a+(-b)) = SinaCos(-b) + CosaSin(-b)[/tex]

We know that

Cos(-b) =cosb

Sin(-b) =-Sinb

So, [tex]Sin(a-b) = SinaCosb -CosaSinb[/tex]

Therefore, the Sine difference function was derivated with the help of the sine sum function.

To get more about the Sine function visit:

https://brainly.com/question/10879727

Which equation is true when n = 1.2?

10n = 1.2

n + 1 = 1.2

5 + n = 6.2

1.2n = 10

Answers

Answer:

Step-by-step explanation:

ji

Answer:

5+n=6.2

Step-by-step explanation:

if n = 1.2

then its 5 +1+ .2 = 6.2 i think

pls help me whats 45x57

Answers

Answer:

2565

Step-by-step explanation:

:)

Answer:

2565

Step-by-step explanation:

PLZ HELP !!!!!!!!!!!!!!!!!!!!!!

Answers

c lol add the 5 and then you get 1 and yea it’s greater

Answer:

The last one

Step-by-step explanation:

We need to keep the variable on one side of the inequality

y-5 is greater than or equal to -4

+5                                              +5

y is greater than or equal to 1

So the last one is correct

Deduce the square root of 7+4√3

Answers

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2 -[tex]\sqrt{3}[/tex]

♥step by step♥

7-4[tex]\sqrt{3}[/tex]

=7-2[tex]\sqrt{2x3}[/tex]

=7-2[tex]\sqrt{12}[/tex]

=([tex]\sqrt{3}[/tex])² - 2[tex]\sqrt{3x4}[/tex] + ([tex]\sqrt{4}[/tex] )

=( - [tex]\sqrt{3}[/tex] + [tex]\sqrt{4}[/tex])²

∴[tex]\sqrt{7-4}[/tex] [tex]\sqrt{3=2}[/tex] - [tex]\sqrt{3}[/tex]

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                   ♥  お力になれて、嬉しいです

is (3,2) a solution to 3x + 2y =13​

Answers

Answer: yes

Step-by-step explanation:

(3*3) + (2*2) = 9+4 = 13 which is what the other side of the equation states so it is a solution

Answer:

Yes

Step-by-step explanation:

Plug the 3 into the x and plug the 2 into the y from (3,2)

So you get, 3(3) + 2(2)=13

9+4=13

Translate the sentence six less than the product of four and a number is -2 into an equation

Answers

Answer:

4x - 6 = -2

Step-by-step explanation:

i dont really know how to explain this one

Answer:

[tex]4x-6=-2[/tex]

Step-by-step explanation:

So since it says 6 is less than that means we will be putting the 6 in front of the number that's going to be 4x because the product of 4 and x is shown by 4x. Then lastly it says all "is -2" that means all that equals -2.

What is the product? [-3 4 2 -5]x[3 -2 1 0]

Answers

Answer:

71829x

Step-by-step explanation:

Answer:

The correct answer is option A

Step-by-step explanation

You got this! keep going! :D

Solve please

18 + 8x<34

Answers

Answer:

x=2

Step-by-step explanation:

2 is greater than x

He ran 10 meters in 2.7 seconds. priya ran 10 meters in 2.4 seconds.
who ran faster? explain how u know

Answers

Answer:

The first person somehow

Step-by-step explanation: 10 divide by 2.7 is 3.7037037 and 10 divided by 2.4 is 4.16666667

Jade borrowed $5,000 from a bank to buy a car. She will pay back the loan in 3 years with simple interest, at an interest rate of 18% per year. What is the total amount that she will pay after 3 years?


pls i will give brainly

Answers

Answer:

$2,700

Step-by-step explanation:

Step-by-step explanation:

borrowed amount -$5000

interest rates -18% per year(3 years interval)

18/100 × 5000/1 =

90000/100=900

900×3=

2700

I.e in 3yrs she will pay

5000+2700=$7700

How would you write 300000 + 400000 + 600 + 7 in standard form?

Answers

Answer:

700607

Step-by-step explanation:

Mrs. Kato has 6 bags of dried beans and a 2-pound bag of rice in one shopping bag. In another shopping bag she has a 5-pound bag of flour. The two shopping bags weigh the same amount. What is the weight of each bag of dried beans? Enter the correct answer in the box.

Answers

Given:

Mrs. Kato has 6 bags of dried beans and a 2-pound bag of rice in one shopping bag.

In another shopping bag she has a 5-pound bag of flour.

The two shopping bags weigh the same amount.

To find:

The weight of each bag of dried beans.

Solution:

Let x be the weight of each bag of dried beans.

So, weight of 6 bags of dried beans = 6x.

According to the question,

Weight of first bag = (6x + 2) pounds

Weight of second bag = 5 pounds

The two shopping bags weigh the same amount. So,

[tex]6x+2=5[/tex]

[tex]6x=5-2[/tex]

[tex]6x=3[/tex]

Divide both sides by 6.

[tex]x=\dfrac{3}{6}[/tex]

[tex]x=0.5[/tex]

Therefore, the weight of each bag of dried beans is 0.5 pounds.

The weight of each bag of dried beans is 0.5 pounds.

Given that,

Mrs. Kato has 6 bags of dried beans i.e. 6x and a 2-pound bag of rice in one shopping bag.In another shopping bag she has a 5-pound bag of flour. The two shopping bags weigh the same amount.

Based on the above information, the calculation is as follows:

6x + 2 = 5

6x = 5 -2

6x = 3

x = 0.5

Therefore, we can conclude that the weight of each bag of dried beans is 0.5 pounds.

Learn more: brainly.com/question/24169758

sixteen juice packs for 12 dollars. How many packs can you buy for $6?

Answers

Answer:

2

Step-by-step explanation:

Answer:

you can buy 6

Step-by-step explanation:

What value of makes the equation 0.25(10x-3)= 1.5(x+2) - 0.75 true?

A. x = 3
B. x= 4
C. x= 3.75
D. x= 4.25

Answers

Answer:

3.75

Step-by-step explanation:

2.5x-.75=1.5x+3

x=3.75

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