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9966 [12]
3 years ago
9

How would you "remove the discontinuity" of f ? In other words, how would you define

Mathematics
1 answer:
balu736 [363]3 years ago
5 0
There is a hole at x=4 because the top factors to (x-4)(x+3)
in the end we get

f(x)=(x-4)(x+3)/(x-4)
the (x-4) cancels out and we get
f(x)=x+3
so baiscally f(x) is y=x+3 but with a hole at (4,7)


one way is to make a piecewise function defined as(x^2-x-12)/(x-4) for all x≠4 and defined as 7 for x=4

or, to just do f(x)=x+3
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(8, 1) and (-1, 10)<br> Slope
gizmo_the_mogwai [7]

Answer:

<h2>The answer is 1</h2>

Step-by-step explanation:

The slope of the line between two points can be found by using the formula

m =  \frac{ y_2 - y _ 1}{x_ 2 - x_ 1}

where

(x1 , y1) and (x2 , y2) are the points

From the question is points are

(8, 1) and (-1, 10)

Substitute the values into the above formula and solve for the slope

That's

m =  \frac{10 - 1}{8 + 1}  \\  =  \frac{9}{9}   = 1

We have the final answer as

<h3>1 </h3>

Hope this helps you

7 0
3 years ago
HELP ME NOW PLS ITS PYTHAGOREAN THEOREM IM FAILING THIS PLS PLS PLS :(
Savatey [412]

Answer:

11

Step-by-step explanation:

Add the numbers and then boom answer (i think and hope)

7 0
3 years ago
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What is the area of these trapezoid
Assoli18 [71]

Answer:

1. 54ft squared  2. 48 cm squared

Step-by-step explanation:

6 0
3 years ago
A set of test scores is normally distributed with a mean of 130 and a standard deviation of 30 What score is necessary to reach
nlexa [21]

Answer:

A score of 150.25 is necessary to reach the 75th percentile.

Step-by-step explanation:

Problems of normal distributions can be solved using 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.

A set of test scores is normally distributed with a mean of 130 and a standard deviation of 30.

This means that \mu = 130, \sigma = 30

What score is necessary to reach the 75th percentile?

This is X when Z has a pvalue of 0.75, so X when Z = 0.675.

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

0.675 = \frac{X - 130}{30}

X - 130 = 0.675*30

X = 150.25

A score of 150.25 is necessary to reach the 75th percentile.

7 0
3 years ago
50 points
mixas84 [53]
I believe it’s b I am not sure
Step by step explanation
8 0
3 years ago
Read 2 more answers
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