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
loris [4]
3 years ago
8

1. Write a quadratic function, in standard form, that fits the set of points. Solve it as a system of three equations

Mathematics
1 answer:
sasho [114]3 years ago
5 0

Answer:

The equation is y=2x^2+4x-7

Step-by-step explanation:

Let the quadratic function be


y=ax^2+bx+c


The point (-4,9) must satisfy this function,

\Rightarrow a(-4)^2+b(-4)+c=9


\Rightarrow 16a-4b+c=9...(1)


The point (0,-7) must also satisfy this function,

\Rightarrow a(0)^2+b(0)+c=-7


\Rightarrow c=-7...(2)



The point (1,-1) must also satisfy this function,

\Rightarrow a(1)^2+b(1)+c=-1


\Rightarrow a+b+c=-1...(3)


We put equation 2 into equation 1 to get;


\Rightarrow 16a-4b-7=9


\Rightarrow 16a-4b=16


\Rightarrow 4a-b=4...(5)


We again put equation 2 into equation 3 to get;


\Rightarrow a+b-7=-1


\Rightarrow a+b=6...(6)


We add equation 5 and 6 to get;

5a=10


\Rightarrow a=2


We put a=2 into equation 6 to get;


2+b=6


\Rightarrow b=6-2


\Rightarrow b=4


The equation is therefore y=2x^2+4x-7

You might be interested in
How do u solve y=2/3x-4
poizon [28]
The answer is 2 y= 2 so 3•2=6 6-4=2
4 0
3 years ago
There are twenty cards labeled from 1 to 20 in a bag. A card is randomly selected from the bag.
AveGali [126]
If you are asking for the probability of getting a certain card you have a 1/ 20th  chance

If you are asking for a percentage there is a 5% chance of getting any card
4 0
3 years ago
Write these fractions in order size smallest first show you're working 5/12 1/3 4/9 11/27
Bezzdna [24]
First find the lowest common multiple of the denominators which are 12 3 9 and 27 these all go into 108. Next divide 108 by the original denominators for example 108/12 is 9 then times 9 by the numerator which is 5 and you get 45 so the first one is 45/108. Do this for them all and order by the size of the numerator
5 0
3 years ago
Ningbo Shipping has issued preferred stock at its $125 per share par value. The stock will pay a $15 annual dividend. The cost o
katen-ka-za [31]

Answer:

The cost of Ningbo Shipping Preferred stock is 12.40%

Step-by-step explanation:

In this question, we are asked to calculate the cost of Ningbo shipping Preferred stock.

To calculate this, we make use of the following mathematical relation;

The cost preferred stock Kp = Annual dividends/ Issued price-Cost of Issuing

From the question, we identify the following;

Issued price = $125

Annual dividend = $15

Cost of Issuing = $4

Inserting these into the formula we have;

Kp = $15/$125 - $4 = 12.40%

This means that Cost of Ningbo shipping preferred stock is 12.40%

5 0
3 years ago
Find value of x <br> How do I find the solution to this?
SashulF [63]
Adding all of these should equal to 180 from the way the angle is set up.

So the equation should be:

(3x + 2) + (2x + 5) + (2x - 9) = 180

You can remove parentheses as it doesn’t affect the equation since it is all addition.

Let’s first add the common variables together.

3x + 2x + 2x = 7x
2 + 5 + (-9) = -2

So now we should have:

7x - 2 = 180

Now add 2 to both sides.

7x = 182

Divide both sides by 7 to isolate x.

x = 26

So x is 26.
3 0
3 years ago
Read 2 more answers
Other questions:
  • Monica makes at most three times as much as George serving yogurt at the local yogurt shop. If Monica makes $5.50 per hour, what
    14·2 answers
  • A doghouse is to be built in the shape of a right trapezoid, as shown below. What is the area of the doghouse? top is 7 side 7 b
    14·1 answer
  • Which numbers are perfect squares? Check all that apply.<br> 0<br> 1<br> OOOOOO
    9·2 answers
  • To graph the equation 2x + 5y = 10, Zeplyn draws a line through the points (5, 0) and (0, 2). What is the slope of the line repr
    13·2 answers
  • Math question<br><br><br>please help me
    11·1 answer
  • If a store advertised a sale that gave customers a 1/4 discount what is the fractional part of the original price that the custo
    9·1 answer
  • Two buses leave Columbus, Ohio at the same time and travel in opposite directions. One bus averages 55mi/h and the other average
    6·1 answer
  • Type the missing numbers in this sequence:<br><br> 67,<br><br> 79,<br> 85,<br> 91
    5·2 answers
  • Solve the system of equations below by graphing both equations with a pencil and paper what is the solution y= -2x +4 y=x-2
    8·1 answer
  • 17. Find the quotient and remainder of 827 divided by 4
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!