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irina1246 [14]
3 years ago
6

Which absolute value function has a graph that is wider than the parent function, f(x) = |x|, and is translated to the right 2 u

nits? f(x) = 1. 3|x| â€" 2 f(x) = 3|x â€" 2| f(x) = |x â€" 2| f(x) = |x| 2.
Mathematics
1 answer:
RoseWind [281]3 years ago
6 0

Transformation involves changing the form of a function.

The absolute value function is f(x)=0.3|x -2|

The parent function of the absolute value function is:

f(x)=|x|

When the function is translated 2 units to the right, the new function is:

f(x)=|x -2|

From the function to be wider than the absolute function, the function must be stretched by a factor less than 1.

The possible function from the list of given options is f(x)=0.3|x -2|

Read more about function transformation at:

brainly.com/question/1548871

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A high school student took two college entrance exams, scoring 1070 on the SAT and 25 on the ACT. Suppose that SAT scores have a
antoniya [11.8K]

Answer:

Due to the higher z-score, he did better on the SAT.

Step-by-step explanation:

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.

Determine which test the student did better on.

He did better on whichever test he had the higher z-score.

SAT:

Scored 1070, so X = 1070

SAT scores have a mean of 950 and a standard deviation of 155. This means that \mu = 950, \sigma = 155.

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

Z = \frac{1070 - 950}{155}

Z = 0.77

ACT:

Scored 25, so X = 25

ACT scores have a mean of 22 and a standard deviation of 4. This means that \mu = 22, \sigma = 4

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

Z = \frac{25 - 22}{4}

Z = 0.75

Due to the higher z-score, he did better on the SAT.

8 0
3 years ago
Find the area of this figure
algol13

Answer:

Step-by-step explanation:

4 * 9 + 2* 9 + 1/2*6 * 3

= 36 + 18 + 9

= 63 in^2

6 0
2 years ago
The two figures shown are congruent. which statement is true?
Masteriza [31]

Answer:

1st Option

Step-by-step explanation:

Hope it helps

4 0
3 years ago
Read 2 more answers
Solve y = log3243. anything helps!
9966 [12]
Y=3.51
You could just plug it into your calculator!
3 0
3 years ago
How many square feet of outdoor carpet will we need for this hole?
Mamont248 [21]

Answer:

The area of the outdoor carpet = 60 - 6 - 6 = 48 ft²

Step-by-step explanation:

The picture below is what you are referring to .

The whole area of the shape forms a rectangle. A triangle and a  rectangle has been cut off from the whole carpet rectangle. The square ft or area of the carpet is the subtraction of the area of the rectangle and triangle cut off from the whole area of the rectangle .

Area of the rectangle = Lb

where

L = 12 ft

b =  5 ft

area = 12 × 5  = 60 ft²

The cut off triangle area

area = 1/2 × base × height

area = 1/2 × 4 × 3

area = 12/2 = 6 ft²

The cut off rectangle area

area = Lb

area = 3 × 2

area = 6 ft²

The area of the outdoor carpet = 60 - 6 - 6 = 48 ft²

7 0
3 years ago
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