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Marta_Voda [28]
1 year ago
6

What is the range of A piecewise function g of x, where part 1 is x squared plus 5 for x greater than 2 and part 2 is 2 times x

for x greater than or equal to 2.?
[4, ∞)
[5, ∞)
[9, ∞)
(–∞, ∞)
Mathematics
1 answer:
____ [38]1 year ago
6 0

Using it's concept, it is found that the range of the piece-wise function is given by:

[4, ∞)

<h3>What is the range of a function?</h3>

It is the set that contains all possible output values for the function.

A piece-wise function has multiple definitions.

  • For x < 2, we have that f(x) = x² + 5, hence the range is from 5(smallest value, when x = 0) to infinity.
  • For x >= 2, we have that f(x) = 2x, and the range is from 4(smallest value, when x = 2) to infinity.

Combining them, the range of the entire function is given by:

[4, ∞)

More can be learned about the range of a function at brainly.com/question/10891721

#SPJ1

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5 0
2 years ago
Determine the intercepts of the line.<br> y-6= 4( + 5)<br> y-intercept:<br> z-intercept
Shtirlitz [24]

Answer:

  1. (0, 26)
  2. (-6.5, 0)

Step-by-step explanation:

Turn the equation into slope-intercept form [ y = mx + b ].

y - 6 = 4(x + 5)

y - 6 = 4x + 20

y = 4x + 26

We know that b = y-intercept for the y-intercept is 26.

Substitute 0 for y to find the x intercept.

0 = 4x + 26

-26 = 4x

-6.5 = x

Best of Luck!

7 0
3 years ago
Wanda pays $19.50 per month for her gym membership. She can take yoga classes at her gym that
PSYCHO15rus [73]

Answer: She took 6 yoga classes

Step-by-step explanation: So first

Subtract

$43.50 - $19.50 = $24

Carry then Divide

$24 / 8 = 6 Classes

PLEASE MARK ME BRAINLIEST!!!

6 0
2 years ago
What is the first term of the geometric sequence whose fifth term is 1/24 and tenth term is 1/768
Neporo4naja [7]
An=a1r^(n-1)

given
a5=1/24
a10=1/768

we know that
a5=1/24=a1r^(5-1) and
a10=1/768=a1r^(10-1)

so
1/24=a1r^4
1/768=a1r^9

(a1r^9)/(a1r^4)=r^5=(1/768)/(1/24)=1/32

r^5=1/32
take 5th root of both sides
r=1/2

we have
a5=a1r^4=1/24
evaluate r^4 or (1/2)^4
1/16
a1(1/16)=1/24
times both sides by 16/1
a1=16/24
a1=2/3

the first term is 2/3



7 0
3 years ago
When given a raw score, explain how to use the normal curve to compare that
stepladder [879]
First of all, you need to come to an understanding of what you mean by "compare that score to the population." Often, that will mean determining the percentile rank of the score.

To determine the percentile rank of a raw score, you first nomalize it by determining the number of standard deviations it lies from the mean. That is, you subtract the population mean and divide that difference by the population standard deviation. Now, you have what is referred to as a "z-score".

Using a table of standard normal probability functions (or an equivalent calculator or app), you look up the cumulative distribution value corresponding to the z-score you have. This number between 0 and 1 (0% and 100%) will be the percentile rank of the score, the fraction of the population that has raw scores below the raw score you started with.
7 0
3 years ago
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