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2 years ago

Write without exponents (3p)^2

Mathematics

2 answers:

weeeeeb [17]2 years ago

8 0

Answer:

9p^2.

Step-by-step explanation:

A product elevated by an exponent can be solved elevating each factor by the exponent:

$(3p)^2 = (3^2)(p^2) = 9p^2$

Brums [2.3K]2 years ago

4 0

(3p)(3p) or 3p x 3p. Cause the exponent means 3p times 3p

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Answer:

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2 years ago

What is the answer? please help

amid [387]

Answer:

solution,

A(2,7)---------> (X1,y1)

B(6,3)--------->(x2,y2)

now,

 $ab = ( \frac{x1 + x1}{2} \: , \frac{y1 + y2}{2} ) \\ = (\frac{2 + 6}{2} \: , \frac{7 + 3}{2} ) \\ = ( \frac{8}{2} \:, \frac{10}{2} ) \\ = (4 ,\: 5)$ 

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7 0

2 years ago

Read 2 more answers

Given f(x) = the quantity of 3x minus 1, divided by 2 , solve for f−1(4)

hichkok12 [17]

f(x)=(3x−1)/2<----Starter 
y = (3x-1)/2
switch x and y
x = (3y-1)/2
2x = 3y-1
2x+1 =3y
y = 2/3*x + 1/3
f^(-1) (x) = 2/3*x + 1/3
f^(-1) (4) = 2/3*4 + 1/3 = 8/3 + 1/3 = 9/3 = 3

I hope this helps. ;)

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3 years ago

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1)The table below represents a linear function f(x) and the equation represents a function g(x):

irga5000 [103]

1)The table below represents a linear function f(x) and the equation represents a function g(x):

x y
-1 -11
0 -1
1 9

g(x) = 5x + 1

Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)

slope of the data of the table:

slope = rise / run = Δy / Δx = [ 9 - ( - 1) ] / [1 - 0] = 10/1 = 10

Also Δy / Δx = [-1 - (-11) ] / [ 0 - (-1) ] = 10 / 1 = 10

the slope of the function given in the form f(x) = mx + b is m, so the slope of g(x) = 5x - 1 is 5.

Comparisson: the slope of the function g(x) = 5x - 1 is half the slope of the function f(x) represented by the table.

Part B: Which function has a greater y-intercept? Justify your answer.

The y-intercept is the value of y when x = 0, so it is - 1 for the function represented by the table.

The y-intercept of a function given in the form f(x) = mx + b is b, so the y-intercept of g(x) = 5x - 1 is - 1.

So, both functions have equal y-intercept.

2)The table below shows the values of y for each value of x:

x y
1 0
1 -1
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Part A: Does the table represent a relation that is a function? Justify your answer by using the values shown in the table. (4 points)

No, it is not a function, because the relation is ambiguous: the x-coordinate 1 may have two differente values, and the x-coordinate 2 may have two different. So you cannot determine the images of x = 1 and x = 2.

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f(x) = -x + 6

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f(4) = - 4 + 6 = 2

It means that Jess made 2 baskets at the distant of 4 meters.

Part C: Write an ordered pair to represent the input and output of the function in Part B when Jess is at a distance of p meters from the hoop. (2 points)

input, p output, f(p)

6 -6 + 6 = 0

So the ordered pair is (6,0)

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2 years ago

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Mariah Jacobsen is the marketing manager at ABC Electronics, a major consumer electronics supplier in the northwest. Over the la

o-na [289]

Answer:

0.6568 = 65.68% probability that she would be correct.

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When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

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This means that:

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