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4 years ago

Help! Idk how to solve this :/

Mathematics

1 answer:

Yanka [14]4 years ago

4 0

Answer:

y = 4x² -3x +5

Step-by-step explanation:

Often the easiest strategy is to check the answers. (We will refer to them as choices A–D.)

The three data points show a minimum value in the middle, so the graph opens upward. This eliminates choices A and B that both have graphs that open downward.

All the answer equations agree with the table for x = 0. (Their constants are all +5.) Choices C and D also agree with the table for x = -1. (Put -1 where x is in the equation and do the arithmetic.)

Only choice D agrees with the table for x = 2. (Again, put 2 where x is and evauate the function.)

___

Equation D evaluated for x=2:

... f(2) = 4·2² -3·2 +5 = 16 -6 +5 = 15 . . . . matches the table

_____

If you want to actually find the equation without reference to the answer choices, you can fill in the table values to write 3 equations in 3 unknowns:

y = ax² +bx +c

12 = a(-1)² +b(-1) +c ⇒ a -b +c = 12

5 = a·0² +b·0 +c ⇒ c = 5

15 = a·2² +b·2 +c ⇒ 4a +2b +c = 15

Substituting the value of c found in the second equation into the first two equations, they become ...

a -b = 7
4a +2b = 10 ⇒ 2a +b = 5 . . . . after dividing by 2

We can add these two equations to eliminate the b variable and get

... 3a = 12 ⇒ a = 4

Putting this into the first equation, we get

... 4 - b = 7

... -3 = b . . . . . . add b-7

Now, we have all three coefficients, so we know the function is ...

... f(x) = 4x² -3x +5

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A researcher planning a survey of heads of households in New York has census lists for each of the 62 counties in the state. The

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Answer: A. It is more susceptible to bias than would be a simple random sample.

hope this helps

3 0

3 years ago

-2x+3y=-6 in slope form

Keith_Richards [23]

Slope-intercept form: y=mx+b
3y=-6+2x
divide both sides by 3
y=-2+2/3x
reorder the terms
y=2/3x-2

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3 years ago

Read 2 more answers

You have been hired as the quality control office of a pharmaceutical company that manufactures aspirin tablets. According to th

Firlakuza [10]

Answer:

$P(X=0)=(24C0)(0.04)^0 (1-0.04)^{24-0}=0.375413$

$P(X=1)=(24C1)(0.04)^1 (1-0.04)^{24-1}=0.$

So then the probability that the batch would be accepeted is:

$0.375413+0.375413=0.7508$

Step-by-step explanation:

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=24, p=0.04)$

On this case p=0.04 represent the probability that a random the tablet would be NOT accepted

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

They accept the batch if there is only one or no tablet that doesn’t meet the test specification, so let's find the individual probabilities for this case:

$P(X=0)=(24C0)(0.04)^0 (1-0.04)^{24-0}=0.375413$

$P(X=1)=(24C1)(0.04)^1 (1-0.04)^{24-1}=0.$

So then the probability that the batch would be accepeted is:

$0.375413+0.375413=0.7508$

3 0

3 years ago

Find the average rate of change of the function between the given values of x. y = 9+ 5x + 0.5x2 between x = 2 and x = 4.

svet-max [94.6K]

Answer:

The average rate of change is 8.

Step-by-step explanation:

The formula to calculate the average rate of change of a function F(x) is: