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3 years ago

Dose this graph represent a function?why or why not?

Mathematics

2 answers:

kati45 [8]3 years ago

8 0

Answer:

no, because it fails the vertical line test

Step-by-step explanation:

Nikitich [7]3 years ago

5 0

In order for a function...to be called a function , is that for every x, there must always only be one y. Two x's can have the same y, but the same x can't have two separate y's. One way to test this is the vertical line test. You basically put up a vertical line on the graph. The artificial line (you can do it with your finger, pencil, etc.) should only intersect once on the graph. So, take your pencil, and hold it up to down (like this | ) on your monitor. You see that when you do that, it intersects with the graph twice. That means it DOESN'T pass the vertical line test, which means it is not a function (Function are not always straight lines, which is why the first two are wrong). So, the answer is

D)

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A turtle travels mile in hour. At this rate, how far can the turtle travel in an hour

jonny [76]

Answer:

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Step-by-step explanation:

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2 years ago

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After writing an equation for each of the T-shirt companies, Jill wrote this equation: 30 + 6x = 20 + 8x Why do you think she wr

polet [3.4K]

Answer:

Step-by-step explanation:

she wrote it to solve the total amount spent on both T shirt.

30+6x=20+8x-8x

30+6x-8x=20

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2 years ago

An evolutionary biologist examined the relative fitness of Escherichia coli bacteria grown for 2000 generations, about 300 days,

Varvara68 [4.7K]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is:

X: fitness of a line of E. coli grown on an acidic environment.

n= 6 E. coli lines

Recorded fitness for each line: 1.24, 1.22, 1.23, 1.24, 1.18, 1.09

The relative fitness of 1 indicates that both bacteria types are equally fit.

A relative fitness larger than 1 indicates that the acid-evolved line is more fit than the parental line kept at neutral pH when both are grown in acidic conditions.

Meaning that if the average fitness of the E. coli lines grown on an acidic environment is greater than 1 then they are better adjusted to live in acidic conditions, symbolically: μ > 1

The statistic hypotheses are:

H₀: μ ≤ 1

H₁: μ > 1

α: 0.05

Assuming that the variable has a normal distribution you have to apply a one-sample t-test:

$t= \frac{X[bar]-Mu}{\frac{S}{\sqrt{n} } } ~~t_{n-1}$

X[bar]= 1.20

S= 0.06

$t_{H_0}= \frac{1.20-1}{\frac{0.06}{\sqrt{6} } } = 8.40$

The p-value for this test is 0.0002

Since the p-value= 0.0002 is less than α:0.05 the decision is to reject the null hypothesis.

Then at a 5% significance level, there is significant evidence to conclude that the bacteria evolved in acidic pH are better adapted to acidic conditions.

I hope you have a SUPER day!

7 0

2 years ago

How many points need to be removed from this graph so it will be a function?

finlep [7]

Answer:

3 points

Step-by-step explanation:

in a function, an x-value must have only one y-value correlated with it.

So, you would need to remove either (-3, 2) or (-3, 3)

And, you would need to remove either (2, -2) or (2, -4)

<em>And, </em>you would need to remove either (1, 4) or (1, -4)

So--you need to remove 3 points in total for this to be a function.

[a y-value can have multiple x-values. the two points at -4 are allowed, and do not need to be removed for both of them to be there]

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1 year ago

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andrey2020 [161]

Answer:

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2 years ago