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Irina-Kira [14]
3 years ago
7

Select the correct answer. Which statement is true about the extreme value of the given quadratic equation? y = -3x2 + 12x − 33

A. The equation has a maximum value with a y-coordinate of -21. B. The equation has a minimum value with a y-coordinate of -21. C. The equation has a minimum value with a y-coordinate of -27. D. The equation has a maximum value with a y-coordinate of -27.
Mathematics
1 answer:
klasskru [66]3 years ago
4 0

Step-by-step explanation:

y = -3x² + 12x - 33

y = -3[x² - 4x + 11]

y = -3[(x - 2)² + 7]

Since the coefficient of x² is negative, the curve concaves downwards and has an absolute maximum value. This happens when x = 2, y = -21.

Therefore the correct option is A.

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8. Temperatures in degrees Celsius (C) may be changed to degrees Fahrenheit (F) by using the formula F = 1.8C + 32º. Find the te
pentagon [3]

Answer:

-40 °F = -40 °C

Step-by-step explanation:

(1) F = 1.8 C + 32

If the Fahrenheit and Celsius temperatures are the same, then

(2)        F = C     Substitute (2) into (1)

           C = 1.8C + 32     Subtract 1.8 C from each side

C – 1.8 C = 32                   Combine like terms

   -0.8C = 32                   Divide each side by -0.8

         C = -32/0.8

(3)      C = -40                  Substitute (3) into (1)

        F = 1.8(-40) + 32

        F = -72 + 32

       F = -40

So, -40 °F = -40 °C

The thermometer below shows that -40 °F = -40 °C.

8 0
3 years ago
Jessica prepared 36 kilograms of dough after working 6 hours. How much dough did Jessica prepare if she worked for 8 hours? Assu
Pepsi [2]

Answer:

48

Step-by-step explanation:

because 36 divided by 6 is 6 and that is how much dough she produces in an hour so if you added two more 6s to 6 to make it 8 meaning you are adding 12 because that is how much dough she makes in an hour

5 0
2 years ago
Attachment mathswatch!!!!!!!!!!!!!
Vinil7 [7]

Answer:

<h2><em><u>y = -x - 1</u></em></h2>

Step-by-step explanation:

The line is going in a negative direction. This means that the line is negative. The slope is -1. The y- intercept is the coordinate (0,-1). SO the equation is y = -x - 1.

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3 years ago
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5/6 of the boys brought their lunch.



In order to determine the answer you need to divide 5/9 by 2/3 in which will give you 5/6.
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2 years ago
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igor_vitrenko [27]
777 when rounded, or 777.1215418091389
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2 years ago
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