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lozanna [386]
3 years ago
11

Which of the following inequalities matches the graph?

Mathematics
1 answer:
masha68 [24]3 years ago
7 0
I believe it is the last one y>-1
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Find the limit of the function by using direct substitution as X approaches one lim(x^2-8x -2)
Leno4ka [110]

Answer:

lim_{x \to 1} x^2 -8x -2 =-9

Step-by-step explanation:

For this case we want to find the following limit:

lim_{x \to 1} x^2 -8x -2

And we can find the limit distirbuting into each term like this:

\lim_{x \to 1} x^2 -8 lim_{x \to 1} x -lim_{x \to 1} 2

And replacing we got:

1^2 - 8*1 -2 = 1-8-2 = -9

So then the final answer for this case is:

lim_{x \to 1} x^2 -8x -2 =-9

8 0
4 years ago
PLZ HELP!!! WILL MARK THE BRAINLIEST IF ANSWER IS CORRECT.
slavikrds [6]

lynville is the correct answer i think

6 0
3 years ago
Why dont people answer the questions i post :)
N76 [4]

Answer:

cuz your questions are hard

4 0
3 years ago
Read 2 more answers
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
3 years ago
Two times a number added to -4, subtracted from triple the sum of eight times the number and five
mr Goodwill [35]

Answer:

2x+(-4)-8x(3)-5

7 0
3 years ago
Read 2 more answers
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