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katrin2010 [14]
3 years ago
12

FUNCTION OR NOT /// ALGEBRA I

Mathematics
1 answer:
guapka [62]3 years ago
5 0

Answer:

First figure: The graph is not a function

Second figure:

Statement 1: It is false

Statement 2: It is false

Statement 3: It is right

Step-by-step explanation:

First graph is not a function.

The domain of it is ⇒ 0 ≤ x < 3 , 3 < x ≤ 6 , 6 ≤ x < 9

From the domain ⇒ x = 6 has two corresponding values of y⇒ 3 and 4

∴ It is not a function because every x must have one and only one

  corresponding value of y

Second figure

{(3 , 6) , (4 , 6) , (5 , 7) , (6 , 8) , (7 , 10) , (8 , 10)}

<u>Statement 1</u>: It is false because we use x-value to check function or not.

The relation is a function because every x-value has one corresponding

y-value

<u>Statement 2</u>: It is false because 3 ≤ x ≤ 8 means we will use for x all real numbers from 3 to 8 not only the integers 3 , 4 , 5 , 6, ,7 , 8

The domain of this function is { 3 , 4 , 5 , 6 , 7 , 8 }

<u>Statement 3</u>: It is right because the range is the y-value and all the y-value in the function are 6 , 7 , 8 , 10

You might be interested in
What the percent of 160 is 56? Use the bar model
kow [346]

Answer:

35%

Step-by-step explanation:

See attached for visual

  • 160= 8*20
  • 8 = 1/20 = 5% of 160
  • 56= 8*7
  • 7*5% = 35%

56 is 35% of 160

8 0
3 years ago
a purse has $8 in dimes and quarters. there ten more dimes than quarters. Find the number of each type of coin.
natita [175]
20 quarters = $5.00
30 dimes = $3.00
4 0
4 years ago
In 2015 Michael purchased a stock for $45.80 a share. During the year he received $1.71 per share in cash dividends. At the end
timama [110]
Michael's initial investment is $45.80, the cost of the share. 
Michael Receives $1.71 in dividends.
He receives $47.50 for the stock when he sells it.
His profit on the sale of the stock is $47.50 - 45.80 = $1.70.
His total return on the stock is his total earnings, the dividends plus his profits on the sale of the stock, divided on what he paid initially, $45.80:
(1.71 + 1.70) ÷ 45.80 = .0744 = 7.45%
7.45% return on investment in less than a year, not bad!
Closest answer is 7.7%, not sure why it isn't exactly 7.45 or 7.5%. 

Answer is B) 7.7%
7 0
4 years ago
Hannah claims that people who live in southern states spend 9 hours more per week outside than do people in northern states. She
vova2212 [387]

Answer:

b. Hannah is likely to be incorrect because 9 is not contained in the interval.

Step-by-step explanation:

Hello!

Hannah estimated per CI the difference between the average time that people spend outside in southern states and the average time people spend outside in northern states.

The CI is a method of estimation of population parameters that propose a range of possible values for them. The confidence level you use to construct the interval can be interpreted as, if you were to calculate 100 confidence interval, you'd expect that 99 of them will contain the true value of the parameter of interest.

In this example, the 99%CI resulted [0.4;8.0]hs

Meaning that with a 99% confidence level you'd expect the value of the difference between the average time people from southern states spend outside than the average time people from northern states spend outside is included in the interval [0.4;8.0]hs.

Now, she claims that people living in southern states spend 9 more hours outside than people living in northern states, symbolized μ₁ - μ₂ > 9

Keep in mind that if you were to test her claim, the resulting hypothesis test would be one-tailed

H₀: μ₁ - μ₂ ≤ 9

H₁: μ₁ - μ₂ > 9

And that the calculated Ci is tow-tailed, so it is not valid to use it to decide over the hypotheses pair. This said, considering that the calculated interval doesn't contain 9, it is most likely that Hannah's claim is incorrect.

I hope this helps!

6 0
3 years ago
Mrs. Computer is 3 times older than her daughter, Mousy. The sum of their ages is 52. How old is Mousy?
grandymaker [24]
Mousy=m
Mrs. Computer=3m
m+3m=52
4m=52
m=52/4
m=13
mousy=13, Mrs. Computer=3*13=39 
8 0
3 years ago
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