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
Jackson started writing a story at 8:30 AM He stopped writing at 1:15 P.M. How long did he write?​
Scilla [17]

Answer: he wrote for an five hours and forty-five minutes

Step-by-step explanation:

7 0
3 years ago
Which expression is modeled by this arrangement of tiles? 40 positive tiles are broken up into 10 groups of 4 positive tiles. 40
Lisa [10]

Answer:

\frac{40}{4}

Step-by-step explanation:

The model shows that there are 40 tiles which were divided into 4 per group. This results into 10 groups. That is:

\frac{40 tiles}{4} = 10 groups

Therefore, the expression modeled by the arrangement of the tiles is \frac{40}{4}

6 0
3 years ago
Read 2 more answers
Rectangle WXYZ with y axis<br>​
Gre4nikov [31]

Answer:

I dont understand comment on this and i can help you out

Step-by-step explanation:

:)

7 0
3 years ago
Read 2 more answers
How do you work out the circumference of a circle using diameter?
azamat
We can get the Circumference of a circle with the diameter by using the formula:

Circumference = Diameter * pie
Where, pie = 22/7 = 3.14

Hope this helps!
5 0
3 years ago
Given that cosθ=817 and sinθ=−1517 . What is the value of tanθ?
Alchen [17]

Answer:

tan∅ = -1517/817

Step-by-step explanation:

tan∅ = sin∅/cos∅

3 0
3 years ago
Other questions:
  • Help.........................<br><br>​
    14·1 answer
  • Examine the two-step equation.
    14·1 answer
  • Please help with these two math problems<br><br> 1. 7^x ÷ 7^y =<br> 2. z^10x^y ÷ z^5 =
    7·1 answer
  • Which description represents this equation? 7x – 2 = 33 A. Two times the quantity of seven less than a number equals thirty-thre
    8·1 answer
  • A survey asked eight students about weekly reading hours and whether they play musical instruments. The table shows the
    7·1 answer
  • PLZZ Help me algebra 2.
    8·1 answer
  • A square has a side lenght of 6.2 centimeters. what is the perimiter of the square
    11·2 answers
  • What are the possible values of x in 8x2 + 4x = -1?
    15·1 answer
  • Henry drives at a speed of 80 miles per hour. <br> How long will it take to drive 400 miles?
    13·1 answer
  • Help me plzzz with my math
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!