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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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Two angles are supplementary. Which of the following equations can be used to find the value of the missing angle, x, if the oth
Natali [406]

Two angles are said to be supplementary if their sum is 180 degrees. So, if x and y are supplementary angles, the formula is

x + y = 180

We know that one of the angles (say x) is 98. So, the equation updates to

98 + y = 180

If we want to solve for the other angle, we can simply subtract 98 from both sides to get

y = 180-98 = 82

6 0
3 years ago
The diameter of a circular tablecloth is 72 inches. Find the area and circumference. Use 3.14 as an approximation for pi.
nalin [4]

Answer:

Part 1) The area is A=4,069.44\ in^{2}

Part 2) The circumference is C=226.08\ in

Step-by-step explanation:

step 1

Find the area

we know that

The area of a circle (circular tablecloth) is equal to

A=\pi r^{2}

we have

r=72/2=36\ in ------> the radius is half the diameter

\pi =3.14

substitute

A=(3.14)(36)^{2}

A=4,069.44\ in^{2}

step 2

Find the circumference

we know that

The circumference of a circle (circular tablecloth) is equal to

C=\pi D

we have

D=72\ in

\pi =3.14

substitute

C=(3.14)(72)

C=226.08\ in

5 0
3 years ago
tammy is 14 years old. she has a younger sister and an older brother. her sister is 12. the mean of all their ages is 14. how ol
mafiozo [28]

Answer:

16

Step-by-step explanation:

To solve, we can use an equation finding the average of the siblings'ages.

\frac{14 + 12 + x}{3}  = 14 \\  \ 14 + 12 + x = 42 \\ x = 42 - 14 - 12 \\ x = 16

7 0
3 years ago
What is 5.589 x 10^6 written in standard form
timurjin [86]

Answer:

5,589,000

Step-by-step explanation:

5.589 x 1,000,000=

5,589,000

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3 years ago
Please solve this ASAP for 30 points
e-lub [12.9K]

Answer:

welpp

Step-by-step explanation:

3 0
4 years ago
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