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NeX [460]
3 years ago
15

15. Find a quadratic model for the set of values: (-2, -20), (0, -4), (4, -20). Show your work.

Mathematics
1 answer:
ycow [4]3 years ago
3 0

Answer:

y = -2(x -1)^2 -2

Step-by-step explanation:

My "work" consists of providing a table of values to a calculator and asking it for a quadratic model. The result is ...

y = -2(x -1)^2 -2

__

If you like to do these "by hand", you can write the model, then solve for its parameters using the given points.

We observe that the first and third points have the same y-coordinate. Then the vertex of the quadratic will be halfway between the corresponding x-values, at ...

h = (-2 +4)/2 = 1

So, one of the parameters of the model is found already. Using the second point and one other, we can find the remaining parameters for our model:

y = a(x -1)^2 +k

for (4, -20) ...

-20 = a(4 -1)^2 +k = 9a +k

for (0, -4) ...

-4 = a(0 -1)^2 +k = a + k

Subtracting the second equation from the first, we get

-16 = 8a

-2 = a . . . . . divide by 8

Substituting this value of a into the second equation, we have ...

-4 = -2 +k

-2 = k . . . . . . add 2

So, our model is ...

y = -2(x -1)^2 -2

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Answer:

1

Step-by-step explanation:

{(4.51) }^{0}  = 1

hope this helps you.

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3 years ago
Solving the following system using the elimination of substitution method.<br> 5a+3b=11<br> -2a+3=b
PSYCHO15rus [73]

Answer:

a = -2

b = 7

Step-by-step explanation:

5a+3b=11

-2a+3=b

substitute for b:

5a + 3(-2a + 3) = 11

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4 0
2 years ago
How do i figure this out?
julsineya [31]

Answer:

Step-by-step explanation:

put the left hand numbers into your calculator, find the answers.

put the equations at the bottom in your calculator and figure out which is equal to which

1. fourth answer on the botton

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4 0
2 years ago
Find the area of rectangle with sides 2 5/6 and 4 4/7
g100num [7]
<h3><u>Given</u><u> </u><u>:</u></h3>

  • Length = \sf2\dfrac{5}{6} cm.
  • Breadth = \sf4\dfrac{4}{7} cm.

<h3><u>To</u><u> </u><u>Find</u><u> </u><u>:</u></h3>

The area of rectangle.

<h3><u>Solution</u><u> </u><u>:</u></h3>

Area of rectangle = Length × Breadth

\sf=2\dfrac{5}{6}\times4\dfrac{4}{7}

\sf=\dfrac{17}{6}\times\dfrac{25}{7}

\sf=\dfrac{17\times25}{6\times7}

\sf=\dfrac{425}{42}

<h3><u>Area</u><u> </u><u>of</u><u> </u><u>rectangle</u><u> </u><u>is</u><u> </u><u>4</u><u>2</u><u>5</u><u>/</u><u>4</u><u>2</u><u> </u><u>cm</u><u>²</u><u>.</u></h3>
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3 years ago
Read 2 more answers
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Svetllana [295]

Answer:

8/38

Step-by-step explanation:

you calculate how many socks and then take how many the blue ones are

3 0
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