Can someone help me? I still don't understand this question.

Can Someone Help Me? I Still Don't Understand This Question.

Answers

Answer 1

[tex]f(x) = -6x^2 + 7x + 4[/tex]

Step-by-step explanation:

For x = 1

[tex]a(1)^2 + b(1) + c = 5 \Rightarrow a + b + c = 5[/tex] (1)

For x = -3,

[tex]a(-3)^2 + b(-3) + c = -71[/tex]

[tex]\Rightarrow 9a - 3b + c = -71[/tex] (2)

For x = 3,

[tex]a(3)^2 + b(3) + c = -29[/tex]

[tex]\Rightarrow 9a + 3b + c = -29[/tex] (3)

Let's add Eqn(2) and Eqn(3) together to eliminate b:

[tex]\Rightarrow 18a + 2c = -100[/tex] (4)

Next, multiply Eqn(1) by 3 and then add to Eqn(2) to get

[tex]\Rightarrow 12a + 4c = -56[/tex] (5)

Then we want to eliminate c by multiplying Eqn(4) by -2 and then adding to Eqn(5) and we will get

[tex]-24a = 144 \Rightarrow a = -6[/tex]

Now that we have the value for a, we can use either Eqn(4) or Eqn(5) to solve for c and we will get

[tex]12(-6) + 4c = -56 \Rightarrow c = 4[/tex]

Using the values of a and c on Eqn(1), we find that [tex]b = 7[/tex] so therefore, our function f(x) has a form

[tex]f(x) = -6x^2 + 7x + 4[/tex]


Related Questions

no link or bot answer the question

Answers

Answer:

480in

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

6 * 8 = 48

48 / 2 = 24

because it's half a square

Membership at the YMCA costs $15 per month plus $80 to sign-up. Blink costs $29 per month but is free
to sign-up. After how many months will the two gyms cost the same amount?

Answers

Let months be x

[tex]\\ \sf\longmapsto 80+15x=29x[/tex]

[tex]\\ \sf\longmapsto 29x-15x=80[/tex]

[tex]\\ \sf\longmapsto 14x=80[/tex]

[tex]\\ \sf\longmapsto x\approx 6months[/tex]

Answer:

43  months in ymca including the $80 sign up fee is equal to 25 months in blink

Step-by-step explanation:

$725 divided by $29 =25 months

$ 725 - $80 sign up = $645 .

Now we divide this by $15.

$645 divided by 15= 43 months

Complete the chart!! :)

Answers

Answer:

1 foot is 12 inches so 6 feet would be 72 inches

Step-by-step explanation:

12x6=72

At a real estate agency, an agent sold a house for $369,000. The commission rate is 4.5% for the
real estate agency and the commission rate for the agent is 25% of the amount the real estate
agency gets. How much did the agency make on the house? How much did the agent earn in
commission?

Answers

$29,700 on the hours, and $79,200 in commission.

I hope i helped! :)

The total measure of the three angles of a triangle is 180° is known as ……………………………… property of a triangle.​

Answers

Answer:

Angle sum property

Step-by-step explanation:

This is because one exterior angle is equal to the sum of the other two interior angles.

What are the like terms in this equation?
8n+5b-2n+16=50

Answers

Answer:

8n and -2n

Step-by-step explanation:

PLS HELP WITH ALGEBRA TWO

Answers

Answer:

Answers in Explanation

Step-by-step explanation:

8x^3 + 2x^2 - 20x - 5

(8x^3 + 2x^2) + (-20x - 5)

2x^2 (4x + 1) + (-5) (4x+1)

(2x^2 - 5) (4x + 1)

Refer to the map shown in exercise.2. If m.angle 1 os 64° what is the measure of angle.2?

Answers

post the map
we need to see α photo in order to answer the question.

Answer:180

Step-by-step explanation:

HELP 7= -10s-3 solve for s!

Answers

7= -10s-3

7+3 = -10s

10 = -10s

-10s = 10

s = 10/-10

s = -1

Explain how to compare decimals. Use the numbers 6.75 and 6.732 to
help you explain this process.

Answers

Answer:

6.75>6.732

Step-by-step explanation:

We are given that

6.75 and 6.732

We have to compare two given decimal numbers.

First we convert like decimal number

In 6.75 there are two digits after decimal point.

In 6.732 , there are three digits after decimal point

Therefore, we put zero in 6.75 to convert like decimal number

Now, we get

6.750

Unit place of both decimal numbers are same and tenth place of both decimal number are same.

Now, hundredth place of 6.750 is 5 and hundredth place of 6.732 is 3

5 >3

Therefore, 6.750 is greater than 6.732

6.75>6.732

1/7 to the 2nd power

Answers

Answer:

1/49

Step-by-step explanation:

1/7 to the 2nd power = (1/7)^2 = 1/7 • 1/7 = 1/49

3. There were 155 people at the basketball game. Tickets for the
game are $2.50 for students and $4 for adults. If the total money
received for admission was $492.50, how many students and adults
attended the game?

Answers

Answer:

85 students and 70 adults attended the game.

How many students and adults attended the game?

Step-by-step explanation:

Problema Solution

There were 155 people at the basketball game. Tickets for the game are $2.50 for students and $4 for adults. If the total money received for admission was $492.50, how many students and adults attended the game?

Answer provided by our tutors

let

s = the number of student tickets sold

a = the number of adult tickets sold

there were 155 people at the basketball game

s + a = 155

the total money received for admission was $492.50

2.50s + 4a = 492.50

by solving the system of equations

s + a = 155

2.50s + 4a = 492.50

we find

s = 85 students

a = 70 adults

Question 7 of 15
Which is an equation of the line through (0,0) and (5,-2)?
A. y = 2
B. y = -x
C. y = -2
D. y = x

Answers

... None?

Not A because y = 2 is shown as forever 2 so cannot go through both points.

Not B because y = -x cannot go through (5,-2)

Not C because y = -2 cannot go through (0,0)

Not D because y = x cannot go through (5,2)

Review of Unit 6 Measurement:
Michael bought 42 feet of baseboard trim to put around the edges of his workout
room. He used 39 feet 5 inches, which means he still has 2 feet 7 inches leftover for
another project or to use for a repair, if needed. True or false?
Helpful conversion fact: 1 foot = 12 inches
True
False

Answers

Answer:

True

Step-by-step explanation:

Brought - the amount used

42 feet - 39 feet 5 inches.  

  42 feet 0 inches  =     41 feet 12 inches

 - 39 feet 5 inches  =  - 39 feet 5 inches

                                       2 feet  7 inches

How do I show my work for solving the radius of a circle if the area is 78.5 cm^2
(I already know the answer is 5 cm)​

Answers

9514 1404 393

Answer:

  radius = 5 cm

Step-by-step explanation:

The point of "show your work" is to have to do exactly that. If you know the answer to the problem, you are being requested to show how you got it. If you got it by using a web calculator, then show your input and its result.

__

If you worked the problem yourself, you probably did it by filling in numbers in the equation for the area of a circle:

  A = πr²

  78.5 = 3.14×r²

Dividing both sides by 3.14 gives the square of the radius:

  78.4/3.14 = r² = 25

Taking the positive square root gives the radius:

  r = √25 = 5

The area is in square centimeters, so the radius is in centimeters:

  radius = 5 cm

8.6w+2.2(2w-5)=54
help plz
8th grade math

Answers

w = 5

8.6w + 2.2 (2w-5) = 54

8.6w + 4.4w - 11 = 54

13w - 11 = 54

13w = 65

w = 5

What is the surface area of a rectangular brick with a length of 12 in, a width of 8 in, and a height of 6 in?

Answers

Answer:

We can apply the formula for surface area of a rectangular prism here. i.e.

Step-by-step explanation:

A=2(l×w + h×l + h×w), where l is length, h is height and w is width.

As mentioned above, length = 12 cm, width = 8 cm and height = 6 cm.

Therefore

2(12×7+6×12+6×8)=2(84+72+48)=2(204)=408. So the surface area of the brick is 408 square centimetres.

Craig has a job waiting tables where he earns $3.45 per hour plus tips. Craig earned $73.68 in tips during his shift yesterday.

If x represents the number of hours Craig worked yesterday, which of the following equations can be used to find the amount of money Craig earned yesterday?
A. y = 3.45x - 73.68
B. y = 73.68x + 3.45
C. y = 3.45x + 73.68
D. y = 73.68x - 3.45

Answers

C is the right answer

Si caminara 1 2/3 alrededor de la jardinera triangular,Cuantos metros recorrería?

Answers

Answer:

0.0423333333 meters

Step-by-step explanation:

When you convert, you will receive the same result.

Question Help
Writing lan's car can go 245 miles on 7 gallons of gas. During a drive last weekend, lan used
4 gallons of gas. How far did he drive? Use pencil and paper. Explain how the problem changes if you
were given the distance lan drove last weekend instead of how much gas he used.

He drove _miles.

Answers

He drove 140 miles you take 245 divide by 7 then times by 4

3 + 2 + (-8) -5 - 9 + 1 (-6) + 3 + 20

Answers

Answer:

0

Step-by-step explanation:

PLEASE HELP I'LL GIVE BRAINLIEST!!!! AND I'M GIVING 100 POINTS!!!
When Max was a puppy, he weighed 5 1/2 pounds. At his 1-year check-up with the vet, Max weighed 15.8 pounds.

How much weight did Max gain between the time he was a puppy and his 1-year check-up?

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

Answers

Answer:

10.3 pounds

Step-by-step explanation:

Answer:

10.3 pounds

Step-by-step explanation:

15.8-5 1/2 is 10.3

The area of Triangle abc is 3cm 4cm 3cm​

Answers

Answer:

Step-by-step explanation:

ASSUMING the given dimensions are the lengths of the legs

we have an equilateral triangle with base 4 and height

h = √(3² - (4/2)²) = √5

A = ½bh = ½(4)(√5) = 2√5 cm²

Need helppppppppppppppp

Answers

Answer: Try square root for the first one.

Step-by-step explanation: I know a lot about graphs tell me if I am right or wrong. Ok?

How do you figure out division expression with answer of 19.1

Answers

Answer:

its 5823

Step-by-step explanation:

help urself

what is another word for Angle 1?

Answers

The angle would be the 3 points surrounding it with the point that the two lines connect to being in the middle:

Angle 1 is GEF

hrome
e: Stella Hamilton
Ratio Practice 11/8
Name:
Solve Each Problem
1) At summer camp the ratio of boys to girls was 8: 5. If there were 32 boys, how many girls were
there?
21. Determine if the values in the table are

Answers

Answer:

20 girls.

Step-by-step explanation:

If 32 divided by 8 is 4, then 4x8= 32.

We use this equation to find out how many girls there are. 5x4 equals 20, so there are 20 girls at summer camp.

Find the value of the constant term in the expansion of x^4 (x+3/2x^2)^5

Answers

5 is the answer ok I'll explain

Jeri received thirty more votes than Max. Lee
received forty-five fewer votes than Max.

(a) Define variable expressions for the votes received
by Jeri, Max, and Lee.

Answers

Answer:

J = M + 30

M = L - 45

L = M + 45

Step-by-step explanation:

1. Evaluate |-x - 2y| for x = -2 and y = 3

Answers

Answer:

4

Step-by-step explanation:

x = - 2

y = 3

l - x - 2y l

= l - ( - 2 ) - 2 ( 3 ) l

= l 2 - 6 l

= l - 4 l

= 4

Wha
kind of hard math do they have you doing
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