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
Mnenie [13.5K]
3 years ago
11

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

Mathematics
1 answer:
natali 33 [55]3 years ago
5 0

Answer:

Value of constant term c is (-4)

Step-by-step explanation:

The given table represents a function which is in the form of a quadratic equation,

y = ax² + bx + c

We choose three points (3, -10), (4, -16) and (5, -24) from the table and satisfy the equation to get the values of a, b, and c.

For point (3, -10)

-10 = a(3)² + 3b + c

9a + 3b + c = -10 -------(1)

For point (4, -16)

-16 = a(4)² + 4b + c

16a + 4b + c = -16 ------(2)

For point (5, -24)

-24 = a(5)² + 5b + c

25a + 5b + c = -24 -----(3)

Equation (1) - equation (2)

(9a + 3b + c) - (16a + 4b + c) = -10 + 16

-7a - b = 6

7a + b = -6 ------(4)

Equation (2) - equation (3)

(16a + 4b + c) - (25a + 5b + c) = -16 + 24

-9a - b = 8

9a + b = -8 -------(5)

Equation (4) - Equation (5)

(7a + b) - (9a + b) = -6 + 8

-2a = 2

a = -1

From equation (4),

-7(1) + b = -6

b = -6 + 7

b = 1

From equation (1)

9(-1) + 3(1) + c = -10

-9 + 3 + c = -10

c = -10 + 6

c = -4

Therefore, the value of constant term c is (-4).

You might be interested in
WILL MARK AS BRAINLIEST!!! Write a numerical expression for the phrase, then simplify it. The product of 13 and the difference b
hjlf

" · " - product

" - " - difference

13 · (8 - (-10)) = 13 · (8 + 10) = 13 · 18 = 234

5 0
3 years ago
Fraction equivalent to 3/12
Rufina [12.5K]
Two of them are 1/4 and 2/8! Hope this helps:)


7 0
3 years ago
Read 2 more answers
Which is more, 5 tons or 9,998 pounds?
Katyanochek1 [597]

Answer:

5 tons

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Pls help this should be the last thing
Lelu [443]

Answer:

1436 i believe

Step-by-step explanation:

7 0
3 years ago
Mack wants to purchase a new stereo system for his car. The system costs $1150. Mack has $420 saved already, and plans on mowing
MAVERICK [17]
29.2 lawns to be able to have enough money.
4 0
3 years ago
Other questions:
  • Determine if the relationship is a function & explain why and why not.
    9·1 answer
  • Identify and interpret the amplitude of the f(t)=3sin(5t-pi/8)+7.
    10·1 answer
  • In the picture PLEASE HELP
    14·1 answer
  • 52.85-9.09 rounded to the nearest one
    13·1 answer
  • 74ft to 75ft find each percent change to the nearest percent
    8·1 answer
  • The volume of a cylindrical bucket is 4019.2 cubic inches. Find the height of the bucket if the base area is 200.96 sq. Inches?
    9·1 answer
  • Sonny has $200. Each game he buys online costs $.99. After buying some games he has $178.22 left. How many games did he buy?
    5·1 answer
  • Can someone help me with this? thanks
    15·2 answers
  • 0.5; MATH PROBLEM HERE!!,,,,,,,,,
    7·1 answer
  • Please help thank you !
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!