Answers
[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
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
8.6w+2.2(2w-5)=54
help plz
8th grade math
Answers
8.6w + 2.2 (2w-5) = 54
8.6w + 4.4w - 11 = 54
13w - 11 = 54
13w = 65
w = 5
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
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.
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.
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
How do you figure out division expression with answer of 19.1
Answers
Answer:
its 5823
Step-by-step explanation:
help urself
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
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
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
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.
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
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)
What are the like terms in this equation?
8n+5b-2n+16=50
Answers
Answer:
8n and -2n
Step-by-step explanation:
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
3 + 2 + (-8) -5 - 9 + 1 (-6) + 3 + 20
Answers
Answer:
0
Step-by-step explanation:
Refer to the map shown in exercise.2. If m.angle 1 os 64° what is the measure of angle.2?
Answers
we need to see α photo in order to answer the question.
Answer:180
Step-by-step explanation:
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?
1/7 to the 2nd power
Answers
1/49
Step-by-step explanation:
1/7 to the 2nd power = (1/7)^2 = 1/7 • 1/7 = 1/49
HELP 7= -10s-3 solve for s!
Answers
7= -10s-3
7+3 = -10s
10 = -10s
-10s = 10
s = 10/-10
s = -1
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
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
kind of hard math do they have you doing
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
Complete the chart!! :)
Answers
Answer:
1 foot is 12 inches so 6 feet would be 72 inches
Step-by-step explanation:
12x6=72
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)
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! :)
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:
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.
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
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
