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LuckyWell [14K]
3 years ago
9

Does this graph represent a function? Why or why not?

Mathematics
2 answers:
skelet666 [1.2K]3 years ago
5 0
B it is not because it fails the vertical line test
mina [271]3 years ago
4 0

Answer:

Option B is right

Step-by-step explanation:

Given is a graph in red line comprising of two straight lines in I quadrant meeting at point (6,5,4)

Domain is the interval [0,6.5] for both the lines and range is [0,6]

If this is a function we must have for any x in the domain there must be only one image y.

But we find that for all points in the domain we have two images.

i.e. vertical line test at any point in the interval [0,6) have two images. For example for x =0, we have y as 0 and 6

i.e. vertical line test for functions fails.

Option B is right

This graph is not a function.

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At a concert 2/5 of the people were men, there were 3 times as many women as children. If there were 45 more men than children,
Bogdan [553]

This involves creating some equations.

First, these are what the letters I used stand for:

c = children

w = women

m = men

x = total population

Then, we must make an equation for each statement.

2/5x = m (2/5 of the people are men)

3c = w (there are 3 times as many women than children)

45+c = m (there are 45 more men than children)

Now, let's start plugging in our numbers:

x = all the men, women, and children

2/5(m+w+c) = m

2/5 (45+c +3c + c) = m     [Now simplify]

2/5 (45 + 5x) = m       [Now Distribute]

2/5(45) + (2/5)(5x) = m

2c + 18 = m    [Above we stated that there were the same amount as men as c +45]

2c + 18 = 45 +c     [Now set equal to c]

2c (-c) +18 = 45 +c (-c)

c+18 (-18) = 45 (-18)

c = 27

Now that we know that there was 27 children, we can plug 27 in for c in the other equations.

MEN = 27 + 45

WOMEN = 3(27)

CHILDREN = 27

Now add those three answers to find your total!

8 0
3 years ago
A biology teacher has developed a new method of teaching chi-square tests to her students. She claims this new method will impro
Illusion [34]

Answer:

A Type I error would occur if there was no evidence of an improvement on the national exam but there really was improvement.

Step-by-step explanation:

A type 1 error simply occurs when we incorrectly reject a true null hypothesis. In the scenario above, An experiment was conducted in other it know if there is sufficient evidence to support a claim that a new teaching method developed improves students score. If this claim is actually true in the real sense. However, after conducting a statistical test, we conuded that there was no sufficient evidence to support her claim of improvement using the new method, hence, the claim was rejected. By rejecting the claim, a true null has been rejected. Hence, a type 1 error has been committed.

7 0
3 years ago
In which interval is the median age?<br> Choose 1 answer:
kicyunya [14]

Answer:

Its C i believe correct me if im wrong

6 0
3 years ago
Read 2 more answers
Expand 3(z+3) please help me solve this
mojhsa [17]

Answer:

3(z+3) = 3z + 9 if thats what your asking

Step-by-step explanation:

7 0
3 years ago
A family wants to build a rectangular garden on one side of a barn. If 600 feet of fencing is available to use, then what is the
vovangra [49]

Answer: (A) A=300l-l^{2}

               (B) Length varies between 1 and 150

               (C) Largest area is 22500ft²

Step-by-step explanation: Suppose length is l and width is w.

The rectangular garden has perimeter of 600ft, which is mathematically represented as

2l+2w=600

Area of a rectangle is calculated as

A=lw

Now, we have a system of equations:

2l+2w=600

A=lw

Isolate w, so we have l:

2w=600-2l

w = 300 - l

Substitute in the area equation:

A = l(300 - l)

A = 300l - l²

(A) <u>Function of area in terms of length is given by </u><u>A = 300l - l²</u>

(B) The practical domain for this function is values between 1 and 150.

(C) For the largest area, we need to determine the largest garden possible. For that, we take first derivative of the function:

A' = 300 - 2l

Find the values of l when A'=0:

300 - 2l = 0

2l = 300

l = 150

Replace l in the equation:

w = 300 - 150

w = 150

Now, calculate the largest area:

A = 150*150

A = 22500

<u>The largest area the fence can enclose is </u><u>22500ft².</u>

4 0
2 years ago
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