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
kenny6666 [7]
2 years ago
8

2. Write a quadratic function that has -intercepts (- 3, 0) and (4, 0) and passes through the point (5, 8)

Mathematics
1 answer:
Reptile [31]2 years ago
5 0

Answer:

f(x)=x^2-x-12

Step-by-step explanation:

<u>Quadratic Function</u>

Standard Form of Quadratic Function

The standard representation of a quadratic function is:

f(x)=ax^2+bx+c

where a,b, and c are constants.

When the zeros of f (x1 and x2) are given, it can be written as:

f(x)=a(x-x1)(x-x2)

Where a is a constant called the leading coefficient.

We are given the two roots of f: x1=-3 and x2=4, thus:

f(x)=a(x+3)(x-4)

We also know that f(5)=8, thus:

f(5)=a(5+3)(5-4)=8

Operating:

a(8)(1)=8

Solving:

a=1

The function is:

f(x)=1(x+3)(x-4)

Operating:

\boxed{f(x)=x^2-x-12}

You might be interested in
Which expressions show the expanded form for 200.06? Choose all answers that are correct. A. 2 × 100 + 0 × 1 + 0 × 1/10 + 6 × 1/
saveliy_v [14]

Answer:

Therefore,

Correct options are

A)  2 × 100 + 0 × 1 + 0 × 1/10 + 6 × 1/100

D) 2 × 100 + 6 × 1/100

Step-by-step explanation:

Given:

Number is

200.06

For option A)

2 × 100 + 0 × 1 + 0 × 1/10 + 6 × 1/100

= 200 + 0 + 0 + 0.06

= 200.06

Which is CORRECT.

For option B)

2 × 100 + 0 × 1 + 0 × 1/100 + 6 × 1/1,000

= 200 + 0 + 0 + 0.006

=200.006

Which is INCORRECT.

For option C)

2 × 100 + 6 × 1/10

= 200 + 0.6

= 200.6

Which is INCORRECT.

For option D)

2 × 100 + 6 × 1/100

= 200 + 0.06

= 200.06

Which is CORRECT.

Therefore,

Correct options are

A)  2 × 100 + 0 × 1 + 0 × 1/10 + 6 × 1/100

D) 2 × 100 + 6 × 1/100

5 0
2 years ago
a thermometer measures temperature to the nearest 0.5 degrees celsius which measurement shows an appropriate level of precision
Alja [10]

The temperature which has best degree of precision would actually be the temperature reading which has similar decimal place with the error. So the best answer would have 1 decimal and from the choices given above, this would be:

 

16.0°C

<span> </span>

4 0
3 years ago
5 In a scale drawing of an airplane, 1 inch equals 3 meters. The length of the actual plane is 17 meters. What is the length of
Whitepunk [10]

Answer: 5 2/3 inches

Step-by-step explanation:

From the question, we are informed that the scale drawing of an airplane is:

1 inch = 3 meters.

Since the length of the actual plane is 17 meters, the length of the plane in the scale drawing will then be:

= 17/3

= 5 2/3 inches

4 0
3 years ago
ms. Omar runs the school tennis club. She has a bin of tennis balls and rackets. For every 5 tennis balls in the bin, there are
irina1246 [14]

Answer:

a=\frac{5}{3}b\\\\or\\\\3a=5b

Step-by-step explanation:

let a be the number of tennis balls.

let b be the number of tennis rackets.

We write determine the ratio of balls to rackets by dividing the number of balls by the number of rackets:

\frac{a}{b}=\frac{5}3}\\\\a=\frac{5}{3}b

For every one ball, there 5 thirds of a racket.

We plot this function on a graph to visualize our model;

4 0
3 years ago
If g(x) = 3x - 5, then g -1(x)=<br><br><br><br> 3x + 5
ludmilkaskok [199]

Hey!

-------------------------------------------------

This just shows to substitute all of x with -1.

g(-1) = 3(-1) - 5

g(-1) = -3 - 5

g(-1) = -8

-------------------------------------------------

Hence, the answer is -8!

-------------------------------------------------

Hope This Helped! Good Luck!

3 0
2 years ago
Read 2 more answers
Other questions:
  • Four fifths divided by eight
    14·2 answers
  • Which ordered pairs are a solution to the equation y=x-3? (choose all that apply.) bracket(9, -18) bracket(2, -1) bracket(9, 6)
    7·1 answer
  • rollercoaster can accommodate 1600 passengers per hour. If you are number 346 in line, how many minutes do you have to wait?
    15·1 answer
  • When lava is expelled from a volcano, it temperature may vary from 700 degrees Celsius to 1200 degrees Celsius. Write an absolut
    12·1 answer
  • A circle with circumference 6 has an arc with a 60 degree central angle what is the length of the arc
    15·1 answer
  • Based on the graph, what is the initial value of the linear relationship? (4 points)
    12·1 answer
  • What is the scale factor from AABC to ADEF?
    13·1 answer
  • How would your answer change if the pictures were 10 inches wide? Explain.
    14·1 answer
  • 4x – 3y = 11 <br>8x + 2y = 46​
    11·1 answer
  • Slove the followings.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!