What is the range?
8,10, 60, 3, 5, 13, 12, 40, 8

Answer:

min = (4, -136) ; max = (-2,80)

Step-by-step explanation:

The option is B

The (-2, 80) is a relative minimum, (4, -136) relative maximum option (C) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The cubic function:

f(x) = 2x³ - 6x² - 48x + 24

Find f'(x):

f'(x) = 6x² - 12x - 48

Equate f'(x) to zero:

6x² - 12x - 48 = 0

Find the roots of the quadratic equation:

x = -2

x = 4

Find f''(x):

f''(x) = 12x - 12

Plug x = -2

f''(-2) = -24 - 12 = -36 < 0

At x = -2 f(x) is minimum

f(-2) = 80

Plug x = 4

f''(4) = 48 - 12 = 36 > 0

At x = 4 f(x) is maximum

f(4) = -136

Thus, the (-2, 80) is a relative minimum, and (4, -136) relative maximum option (C) is correct.

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Answer:

4x^2(x+6)

4x^3 is split into 4 and 3 x's

24x^2 is split into 4 and 6 and 2 x's

Cancel out what is the same so 4 and 2 x's and put it out the bracket : 4x^2(

Then put what is left over inside the bracket:

4x^2(x+6)

After factorization of the equation, the net result is 4x²(x + 6).

An integer is factorized using the factorization equation. Factorization is the method of splitting a single object into two or smaller entities, or factors, whose sum equals the original estimate.

As per the provided data in the question,

4x³ consists of 4 and 3 x's

24x² consists of 4 and 6 and 2 x's.

Remove the bracket and remove anything identical, such as 4 and 2 x's: 4x²

Then put what is left over inside the bracket:

4x²(x + 6)

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Answer:

a)0.099834

b) 0

Step-by-step explanation:

To solve for this question we would be using , z.score formula.

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

A candy maker produces mints that have a label weight of 20.4 grams. Assume that the distribution of the weights of these mints is normal with mean 21.37 and variance 0.16.

a) Find the probability that the weight of a single mint selected at random from the production line is less than 20.857 grams.

Standard Deviation = √variance

= √0.16 = 0.4

Standard deviation = 0.4

Mean = 21.37

x = 20.857

z = (x-μ)/σ

z = 20.857 - 21.37/0.4

z = -1.2825

P-value from Z-Table:

P(x<20.857) = 0.099834

b) During a shift, a sample of 100 mints is selected at random and weighed. Approximate the probability that in the selected sample there are at most 5 mints that weigh less than 20.857 grams.

z score formula used = (x-μ)/σ/√n

x = 20.857

Standard deviation = 0.4

Mean = 21.37

n = 100

z = 20.857 - 21.37/0.4/√100

= 20.857 - 21.37/ 0.4/10

= 20.857 - 21.37/ 0.04

= -12.825

P-value from Z-Table:

P(x<20.857) = 0

c) Find the approximate probability that the sample mean of the 100 mints selected is greater than 21.31 and less than 21.39.

Answer:

Step-by-step explanation:

The formula for the area of a circle is A=πr²

r=6cm in this case

Answer:

RECORD TIME

Step-by-step explanation:

RECORD TIME

Answer:

record time

Step-by-step explanation:

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Answer:

B. 4.62 x 10^5 is scientific notation of 462000

Answer:

$2.52

Step-by-step explanation:

i did it

Answer:

  x + y = 14

Step-by-step explanation:

The question asks for the final answer to be an equation in standard form. The standard form of the equation for a line is ...

  ax +by = c

where a, b, c are integers with no common factors, and 'a' is positive.

__

When working with parallel and perpendicular lines, standard form is an easy form to work with. The coefficients (a and b) of parallel lines will be the same. All that is different between parallel lines is the value of 'c'.

Given this fact, it is convenient to start by putting the given equation into standard form. For that, we want the x-term on the same side of the equal sign as the y-term.

Adding x to both sides of the given equation puts it in standard form:

  x +y = x +(-x) +3

  x + y = 3 . . . . . simplified

__

Now that we know our equation will be of the form ...

  x + y = (some constant)

we need to find the constant. We can do that by using the given point values for x and y.

For the given point (x, y) = (10, 4), the constant for the parallel line will be ...

  x + y = 10 + 4 = 14

  x + y = 14 . . . equation of parallel line through (10, 4)

You Need to Find out how much Pecans each pie Will need

Answer:

true :)

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer: A,B,E

Step-by-step explanation:

The statement is "The conclusion is: it is a trapezoid." the correct option is D.

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

We are given that;

The statement "A quadrilateral having exactly one pair of parallel opposite sides is a trapezoid”

Now,

The following statements are true regarding the statement "A quadrilateral having exactly one pair of parallel opposite sides is a trapezoid":

It is a conditional statement that can be written as “If a quadrilateral has exactly one pair of parallel opposite sides, then it is a trapezoid.”

The hypothesis is: a quadrilateral having exactly one pair of parallel opposite sides.

The conclusion is: it is a trapezoid.

Therefore, by quadrilaterals the answer will be "The conclusion is: it is a trapezoid."

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Answer: 85

Step-by-step explanation:

Kid.

Answer:

85%

Step-by-step explanation:

425 is 85% of 500

Answer:

1.104798 miles

Answer:

10 gallons

Step-by-step explanation:

4 quarts is one gallon

so

40/4 is 10

Answer:

i think it is 119

Answer:

The correct answer I believe is A.

A.) “Look at the graph of the relationship. Find the y-value of the point that corresponds to x = 1. That value is the unit rate.”

Step-by-step explanation:

I took the test on edge :)

Answer:

A

Step-by-step explanation:Lol

Answer:

23/100

0.23

Step-by-step explanation:

Hope it helps....

Answer:

23% as a fraction is 23/100.

23% as a decimal is 0.23

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

E(3, 7) and F(6, 5)

The distance between them is

[tex] |EF| = \sqrt{( {3 - 6})^{2} + ({7 - 5})^{2} } \\ = \sqrt{ ({ - 3})^{2} + {2}^{2} } \\ = \sqrt{9 + 4} \\ = \sqrt{13} \: \: \: \: \: [/tex]

We have the final answer as

[tex] \sqrt{13} \: \: \: \: units[/tex]

Hope this helps you

Answer:

(3, 0)

Step-by-step explanation:

The 1st number in an ordered pair is the x-value for the x-axls.

The 2nd number in an ordered pair is the y-value for the y-axis.

We see that the y-value would be 0 looking at the y-axis.

We also see that our x-value would be 3 looking at the x-axis.

Therefore, our coordinates are (3, 0).

Answer:

A plane and a line can intersect in a point—- false

Answer:

2x+2

Explanation:

Answer:

Option A: Investments with smaller compounding intervals have a higher yield, because the interest earned is reinvested more quickly and thus gains compound interest more quickly

Step-by-step explanation:

Compounding could be done monthly, quarterly, semiannually or annually. Compound interest is simply when we add the interest to the principal sum of a loan or amount deposited. It's also referred to as interest which is accrued on interest.

The compound interest that will be earned mainly depends on the frequency of compounding. Now compounding could be done monthly, quarterly, biannually or annually. Now, If we compound monthly, we will have a higher interest return than if we compounded annually.

Thus, looking at the options, the correct one is Option A

Answer:

a

Step-by-step explanation:

Answer:

I think it would be B but im not completly sure.

Answer:

5

Step-by-step explanation:

Swap sides so that all variable terms are on the left hand side.

9r−11=34

Add 11 to both sides.

9r=34+11

Add 34 and 11 to get 45.

9r=45

Divide both sides by 9.

r= 45/9

Divide 45 by 9 to get 5.

r=5