1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MrMuchimi
3 years ago
9

The table shows some values of a function of the form y = ax2 + bx + c.

Mathematics
1 answer:
nadezda [96]3 years ago
8 0

Answer:

  c = 5

Step-by-step explanation:

We can find a, b, c by filling in values from the table into the equation:

  17 = a(2²) +b(2) +c

  32 = a(3²) +b(3) +c

  53 = a(4²) +b(4) +c

__

There are numerous ways to solve 3 linear equations in 3 unknowns. We can use elimination.

Subtracting the first equation from each of the other two, we get ...

  15 = 5a +b . . . . . . . . . note that c has been eliminated from the equations

  36 = 12a +2b

Subtracting twice the first from the second gives ...

  (12a +2b) -2(5a +b) = 36 -2(15)

  2a = 6

  a = 3

__

Now that we have a value for "a", we can "back substitute" into the equations to find "b" and "c".

Substituting this into 15 = ..., we get ...

  15 = 5(3) +b

  0 = b

And substituting for "a" and "b" in the first original equation gives ...

  17 = 4(3) +c

  5 = c

The value of c, the constant of the function, is 5.

You might be interested in
A study claims that the mean age of online dating service users is 40 years. Some researchers think this is not accurate and wan
Mademuasel [1]

Answer: H_0:\mu=40

H_0:\neq40

Step-by-step explanation:

  • A null hypothesis is a hypothesis where a researcher generally try to disprove, it says that there is no statistically significant relationship between the two variables .
  • An alternative hypothesis says that there is a statistical significance  between two variables.

Claim 1. : Mean age of online dating service users is 40 years.

i.e. \mu=40, since it has equals sign so we take this as null hypothesis.

Claim 2. : Mean age of online dating service users is not 40 years.

\mu\neq40

⇒ Null Hypothesis : H_0:\mu=40

Alternative hypothesis : H_0:\neq40

5 0
3 years ago
What is the distance between 15 2/5 and -5 1/3?
Liono4ka [1.6K]

Answer:

hahahahahahaahahaha i dont know the answer i dont care to

Step-by-step explanation:

5 0
2 years ago
I need help with this question can some please help me !
nalin [4]

Answer:

you just shoed the answers

Step-by-step explanation:

6 0
2 years ago
29<br> What value of x makes this equation true?<br> 12 x - 15 = 6 - 3 x
Diano4ka-milaya [45]

Answer:

2

Step-by-step explanation:

I got it right on my work I did the other day

7 0
3 years ago
The total cost for a bucket of popcorn and 4 movie tickets is $56. The total cost for the same size bucket of popcorn and 6
ratelena [41]

Answer:

y = 12x + 8

Step-by-step explanation:

You can come to this conclusion by plugging in the amount of tickets bought as x in each equation, making sure the the answer y is $56 if x = 4 and $80 if x = 6

3 0
2 years ago
Read 2 more answers
Other questions:
  • Jon and Lexi are playing a marble game. According to their rules, 6 points are awarded for each red marble collected and 2 point
    13·1 answer
  • Maria gave some money to each of her three children. Maggie received 1/5 of the money. Journi received 3/8 of the remainder and
    8·1 answer
  • A new youth activity center is being built in oak valley. the perimeter of the rectangular playing field is 332 yards. the lengt
    8·2 answers
  • Consider a function that describes how a particular cars gas mileage depends on its speed. What would be an appropriate domain f
    9·2 answers
  • The sum of 4 consecutive integers is 326. What is the second number in this sequence?
    7·1 answer
  • Clothing Online An online clothing company sells custom sweatshirts. The company charges ​$2.99 for shipping plus ​$6.00 for eac
    7·1 answer
  • The ratio of cats to dogs is 8:9. If<br> there are 27 dogs, how many cats<br> are there<br> (Help)
    11·1 answer
  • What is the value of x?
    15·1 answer
  • A shipping service has four different options for packages where each service has a base price for the first pound and a charge
    5·1 answer
  • Select the correct answer.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!