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zavuch27 [327]
2 years ago
9

Write a quadratic function, in standard form, that fits the set of points. Solve it as a system of three equations. (-4, 9), (0,

-7), and (1, -1)
Mathematics
1 answer:
Tresset [83]2 years ago
7 0

Answer:

\boxed{y=2x^2+4x-7}

Step-by-step explanation:

Let the quadratic function be

y=ax^2+bx+c


We substitute (-4,9) into the equation to obtain;


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


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


We substitute (0,-7) to obtain;


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


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


We finally substitute (1,-1) to obtain;


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


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


We put equation (2) into equation (1) to get;


9=16a-4b-7


16a-4b=16


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


\Rightarrow -1=a+b-7


\Rightarrow a+b=6---(5)


We add equation (4) and (5) to get;

4a+a=6+4



\Rightarrow 5a=10



\Rightarrow a=2


We put a=2 into equation (5) to get;


2+b=6


\Rightarrow b=6-2


\Rightarrow b=4


The reqiured quadratic function is

y=2x^2+4x-7

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Drupady [299]
F(5) = - 2f(4) + 1
f(4) = -2f(3) + 1
f(3) = -2f(2) + 1
f(2) = -2f(1) + 1
Therefore:
 f(2) = -2(3) + 1 = -5
f(3) = -2(-5) + 1 = 11
f(4) = -2(11) + 1 = -21
Therefore f(5) = -2(-21) + 1 = 43
5 0
3 years ago
3.
ollegr [7]

Answer:

Lower quartile (xL): 16.75

Median (xm): 24.5

Upper quartile (xU): 33.5

4 0
3 years ago
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const2013 [10]

Answer:

10 cents

Step-by-step explanation:

In order to answer this question we have to find how much each chicken strip costs individually.

Let's start with the 4 piece.

To find how much each piece costs we have to divide $2.40 by 4. Like this:

\frac{2.40}{4} = .60

In the 4 piece, every chicken strip costs .60 cents.

Now, let's do the 6 piece.

Like before we are going to divide $3.00 by 6.

\frac{3.00}{6} = .50

In the 6 piece, every chicken strip costs .50 cents.

Therefore, customers save 10 cents when they buy the larger quantity.

<em>I hope this helps!</em>

<em>If you have any questions let me know!</em>

<em>- Kay :)</em>

7 0
2 years ago
Figure out what the percent is
DaniilM [7]

The percentage of data that is roughly greater than 66, as displayed in the box plot, is 100%.

<h3>How to Determine a Percentage of a Data Represented in a Box Plot?</h3>

In a box plot, we have the following displayed five-number summary which tells what percentage of the data distribution for each part of the data distribution:

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Lower quartile (Q3): This is the value at where the box in the box plot starts at the edge of the box. From this point to the left, all data values that fall within the bracket make up 25% of the data.

Median: this is the middle value at the point where the line divides the box and data below this point make up 50% of the data.

The other five-number summary are the maximum and the minimum values that are represented by the whiskers.

On the box plot given, 66 is at the extreme whisker at the left. This means that the percentage of data that is roughly greater than 66 is 100%.

Learn more about the box plot on:

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7 0
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What is 3+5+9+11+2+7?
Mumz [18]
Its 37 and yea its an easy question lol
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