What is the end behavior of f(x)=(x−3)3−4x3(x+2)3+3(x−1)6

Mark records his science scores in each monthly assessment over a period of 5 months. In the first assessment he scores 76%. In

katovenus [111]

d. both a relation and a function:

Given:

Mark records his science scores in each monthly assessment over a period of 5 months. In the first assessment he scores 76%. In the second assessment he scores 73%. After that, his scores keep increasing by 2% in every assessment.

x represents the number of assessments since he starts recording and y represents the scores in each assessment.

In order for a relation to be a function the association has to be unambiguous that means that for a given input only one output can exist.If an input can have two or more outputs then you cannot determine which is the correct output for that input.

In the given situation:

x is the input that is number of assessments since mark starts recording the scores so there is only one assessment no repeating.so there is only one output.

Hence the relation is a function.

Learn more about the function here:

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4 0

1 year ago

Circles M and K are congruent, arc QR is congruent to arc LN and arc OP is congruent to arc VW. Find x.

SCORPION-xisa [38]

Given, arc QR is congruent to arc LN and arc OP is congruent to arc VW.

And the expressions for each arc in the diagram also given as:

Arc QR = 2x - y, arc LN = 11 , arc OP= 10 and arc VW=5x+y.

Hence, we will get the system of equations as following:

Arc QR = Arc LN

2x - y = 11 ...(1)

Arc OP = Arc VW

5x + y = 10 ...(2)

We need to find the value of x. So, we can add the equations to eliminate y so that we can solve the equations for x. Therefore,

2x+5x = 11 + 10

7x = 21

$\frac{7x}{7} =\frac{21}{7}$ Divide each sides by 7.

So, x= 3

6 0

3 years ago

How many times does 46 go into 296?

Agata [3.3K]

Answer:

6.4347826087

Step-by-step explanation:

5 0

2 years ago

A company claims that the mean weight per apple they ship is 120 grams with a standard deviation of 12 grams. Data generated fro

Veronika [31]

Answer:

There is no sufficient evidence to reject the company's claim at the significance level of 0.05

Step-by-step explanation:

Let $\mu$ be the true mean weight per apple the company ship. We want to test the next hypothesis

$H_{0}:\mu=120$ vs $H_{1}:\mu\neq 120$ (two-tailed test).

Because we have a large sample of size n = 49 apples randomly selected from a shipment, the test statistic is given by

$Z=\frac{\bar{X}-120}{\sigma/\sqrt{n}}$ which is normally distributed. The observed value is

$z_{0}=\frac{122.5-120}{12/\sqrt{49}}=1.4583$ . The rejection region for $\alpha = 0.05$ is given by RR = {z| z < -1.96 or z > 1.96} where the area below -1.96 and under the standard normal density is 0.025; and the area above 1.96 and under the standard normal density is 0.025 as well. Because the observed value 1.4583 does not fall inside the rejection region RR, we fail to reject the null hypothesis.

5 0

3 years ago

What is equivalent to log(x)-log(y)

zalisa [80]

Explanation:

log(x) - log(y) = log(x/y)

3 0

3 years ago