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Sloan [31]
3 years ago
15

For a science experiment, Ashley removes a cold liquid from a refrigerator and measures its temperature every 1 2 minute. Ashley

finds that the temperature increases by 1 1 4 degrees Fahrenheit (°F) between each measurement for three minutes. What is the rate per minute of the temperature increase? A) 5 8 °F per minute B) 3 4 °F per minute C) 1 3 4 °F per minute D) 2 1 2 °F per minute
Mathematics
2 answers:
Pavlova-9 [17]3 years ago
8 0

Answer:

The answer is D

Step-by-step explanation:

2

1 /2

°F per minute

1

1 /4

× 2 = 2

1 /2

elena-14-01-66 [18.8K]3 years ago
4 0
The answer will It would be D
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Step-by-step explanation:

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3 years ago
El mcd de 36 90 y 18
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2 years ago
find an equation in the form y=ax^2+bx+c for the parabola passing through the points. (2,28),(4,116),(-3,88)
IgorC [24]
<h3>Answer:</h3>

y = 8x² -4x +4

<h3>Explanation:</h3>

I find it quick and easy to let a graphing calculator do quadratic regression on the given points. It gives the coefficients of the equation directly. (See attached.)

_____

If you want to do this "by hand," you can substitute each of the x and y value pairs into the equation to get three linear equations in a, b, and c. These are generally easy to solve, as the "c" variable can be eliminated right away.

<em>For x = 2</em>

... 28 = a·2² +b·2 +c = 4a +2b +c

<em>For x = 4</em>

... 116 = a·4² +4b +c = 16a +4b +c

<em>For x = -3</em>

... 88 = a·(-3)² +b·(-3) +c = 9a -3b +c

Subtracting the first and third equations from the second, we have ...

... (16a +4b +c) -(4a +2b +c) = (116) -(28) ⇒ 12a +2b = 88

... (16a +4b +c) -(9a -3b +c) = (116) -(88) ⇒ 7a +7b = 28

Dividing the first of these reduced equations by 2, and the second by 7, we have ...

  • 6a +b = 44
  • a +b = 4

Subtracting the second of these from the first gives ...

... (6a +b) -(a +b) = (44) -(4) ⇒ 5a = 40

From which we find

... a = 8

... b = 4 -a = 4 -8 = -4

We choose the first of the original equations to find c:

... c = 28 -4a -2b = 28 -4·8 -2(-4)

... = 28 -32 +8 = 4

With (a, b, c) = (8, -4, 4), the equation of the parabola is ...

... y = 8x² -4x +4

5 0
3 years ago
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