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Olenka [21]
3 years ago
11

Let f(x) = 3(x - 6)^2 + 1. What is the range of f? Express your answer with interval notation.

Mathematics
2 answers:
Dafna1 [17]3 years ago
5 0
X is an element of [6,+ inf [
Lera25 [3.4K]3 years ago
3 0
F(x) = 3(x-6)²+1
This is an up-opening parabola with vertex (6,1).
Range: [1,+∞)
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Which of the following describes the graph below
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Answer:

b

Step-by-step explanation:

7 0
3 years ago
data set A is {30, 45, 32, 50, 33, 40, 44, 32}. Data set B is {28, 43, 30, 48, 35, 42, 46, 34}. which statement best compares th
3241004551 [841]

Answer:

the mean in set B is equal to the mean in set A (option C)

Question:

The question is incomplete as the answer choices were not given.Let's consider the following question:

Data set A is {30, 45, 32, 50, 33, 40, 44, 32}. Data set B is {28, 43, 30, 48, 35, 42, 46, 34}. which statement best compares the two data sets?

a) median for set A is equal to the median for set B

b) Range for set A is greater than range for set B 

c) The mean in set B is equal to the mean in set A

Step by step explanation:

We can describe a data set using four ways:

Center, spread, shape and unusual features.

Let's consider the center and spread.

Center: This is the median of the distribution.

Spread: This is the variation of the data set. If the range is wide, the spread is larger and If the range is small, the spread is smaller.

Rearranging the data set:

A = {30, 32, 32, 33, 40, 44, 45, 50}

B = {28, 30, 34, 35, 42, 43, 46, 48}

From the data:

The median for set A = (33+40)/2 = 73/2= 36.5

The median for set B = (35+42)/2 = 77/2= 38.5

Range = highest value - lowest value

The data ranges from 30 to 50 (range = 20) for A 

The data ranges from  28 to 48 (range = 20) for B

Mean for set A = (30+32+32+33+40+4445+50)/8 = 306/8 = 38.25

Mean for set B = (28+30+34+35+42+43+46+48)/8= 306/8 = 38.25

In both data set the mean is equal to 38.25.

Therefore the statement that best compares the two data sets is the mean in set B is equal to the mean in set A (C)

8 0
4 years ago
What are the coefficients in the expression, 9 - 4 + 3b + 7a?
vodomira [7]

Answer:

The coefficients are b and a

3 0
3 years ago
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Points A, B, C, D, E, and F are located on the number line. A number line going from Negative 1 and StartFraction 3 Over 8 EndFr
telo118 [61]

Answer:

The true statements are;

Point D represents a number less than the number Point C represents

Point E represents the smallest number of all the numbers represented by points

Step-by-step explanation:

The given information are;

The number line with points are

-1\frac{3}{8} , -1\frac{1}{4} , -1\frac{1}{8} , -1..., \frac{3}{8}

In decimal format, with Microsoft Excel and Word, we have;

-1.375, -1.25, -1.125, -1, -0.875, -0.75, -0.625, -0.5, -0.375, -0.25, -0.125, 0, 0.125, 0.25, 0.375

We have, E = -1.25, B = -1, D = -0.875, C = -0.25, A = 0, F = 0.25

The correct options are;

Point D = -0.875 < Point C = -0.25

Point E = -1.25 which is the second number on the number line and the smallest number of the numbers represented by points

8 0
3 years ago
What is the cube root of -256<br> please show steps and keep answer in radical form and not decimals
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Answer:

-4∛4

Step-by-step explanation:

Simplify the radical expression

-∛256→ -2²x∛2²

then evaluate the power

-4∛4

It would be greatly appreciated if you gave me brainiest

7 0
3 years ago
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