MATHEMATICS COLLEGE

Which graph represents the function f(x) = |x + 3|?

Answers

Answer 1
Answer:

Answer:

Answer is B

Step-by-step explanation:

If you are unsure about where to start, you could always plot some numbers down until you see a general pattern.

But a more intuitive way is to determine what happens during each transformation.

A regular y = |x| will have its vertex at the origin, because nothing is changed for a y = |x| graph. We have a ray that is reflected at the origin about the y-axis.

Now, let's explore the different transformations for an absolute value graph by taking a y = |x + h| graph.

What happens to the graph?

Well, we have shifted the graph -h units, just like a normal trigonometric, linear, or even parabolic graph. That is, we have shifted the graph h units to its negative side (to the left).

What about the y = |x| + h graph?

Well, like a parabola, we shift it h units upwards, and if h is negative, we shift it h units downwards.

So, if you understand what each transformation does, then you would be able to identify the changes in the shape's location.
Answer 2
Answer:

Answer:

answer is b

Step-by-step explanation:

because i got it right on E D G E

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The lifetime of a certain type of battery is normally distributed with mean value 11 hours and standard deviation 1 hour. There are four batteries in a package. What lifetime value is such that the total lifetime of all batteries in a package exceeds that value for only 5% of all packages?

Answers

Answer:

The lifetime value needed is 11.8225 hours.

Step-by-step explanation:

Problems of normally distributed samples 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 = (X - \mu)/(\sigma)

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 This p-value is the probability that the value of the measure is greater than X.

In this problem, we have that:

The lifetime of a certain type of battery is normally distributed with mean value 11 hours and standard deviation 1 hour. This means that \mu = 11, \sigma = 1.

What lifetime value is such that the total lifetime of all batteries in a package exceeds that value for only 5% of all packages?

This is the value of THE MEAN SAMPLE X when Z has a pvalue of 0.95. That is between Z = 1.64 and Z = 1.65. So we use Z = 1.645

Since we need the mean sample, we need to find the standard deviation of the sample, that is:

s = (\sigma)/(√(4)) = 0.5

So:

Z = (X - \mu)/(s)

1.645 = (X - 11)/(0.5)

X - 11 = 0.5*1.645

X = 11.8225

The lifetime value needed is 11.8225 hours.

A line with a slope of -1/2 passes thru the point (-4,3)...Which equation represents this line?

Answers

Here you go!! Hope this helps!!!!

Answer: Go to a website called m a t h w a y

Step-by-step explanation:

1. It's really good for all kinds of math problems

2. It lets you answers to one question in different ways to give you the best possible answer!!!

3. IT'S FREE!!!!!!!

(15 POINTS) (FOLLOW DIRECTIONS ON ATTACHMENT!)

Answers

Answer:

1. 5 / 6

2. 1 / 3

3. 3 / 6 or  1 / 2

Step-by-step explanation:

The probability that A is not yellow is 5 / 6

The probability that B is blue is 1 / 3

The probability that A is red is 3 / 6 or 1 / 2

You spend $28$28 on ingredients to make cookies. You charge $4$4 per container of cookies. How many containers do you need to sell to earn $20 in profit?

Answers

Let, the number of Containers = x

Then, Equation would be: 4x - 28 = 20

4x = 20 + 28

x = 48/4

x = 12

In short, Your Answer would be: 20 Containers

Hope this helps!
4x7=28  you need 7 just to break even then
4x5=20 you need 5 to make $20
7+5=12  You need 12 to make $20

Please solve the following problem 194=27-x

Answers

Answer:

hello! :)

-167

Answer: 167

Step-by-step explanation:

First get X by itself.

substract 27 to each side

194=27-x

194= 27 -27 -x

194 - 27 = X

X= 167

Express the number as a ratio of integers. 3.469 = 3.469469469

Answers

If you're looking for a fractional representation of the non-terminating decimal,
3.469469469....
then:

Let x=3.469469469.....
then
1000x-x=(3469.469469469...) - (3.469469469....)
999x = 3466
x=3466 / 999
= 3+469/999
=3(469)/(999)
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