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3 years ago

Calculate the average rate of change for given function, from x=2 to x=7

1 answer:

8 0

"When you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. f(x) = x2 and f(x + h) = (x + h) Therefore, the slope of the secant line between any two points on this function is 2x + h."

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The domain for f(x) and g(x) is the set of all real numbers.

blsea [12.9K]

Hi, here is the solution...

f(x) = 2 $x^{2}$ + x - 3 and g(x) = x + 2

(f.g)(x) = f(x). g(x)

= (2 $x^{2}$ + x - 3) *(x + 2)

Now use the distributive property, we get

= (2 $x^{2}$ + x - 3)x + 2(2 $x^{2}$ +x -3)

= 2 $x^{3}$ + $x^{2}$ -3x + 4 $x^{2}$ + 2x - 6

Now combine the like terms.

= 2 $x^{3}$ +5 $x^{2}$ -1x -6 [-3x +2x = -1x = -x]

(f.g)(x) = 2 $^{3}$ +5 $x^{2}$ -x -6

That's it. Thank you :)

8 0

3 years ago

(g) If each customer takes 3 minutes to check out, what is the probability that it will take more than 6 minutes for all the cus

Alisiya [41]

Answer:

Hello dear,

Your question is not complete, please paste it complete for better understanding.

Anyhow what i understood from the question, the answer is in the explanation.

Step-by-step explanation:

The mean time between arrivals is 3 minutes. Or else, depending on the way the exponential distribution has been introduced to you, the rate is 1/3.

Recall that an exponential distribution with parameter λ has mean 1λ. So 1λ=3 and therefore λ=13.

A customer has just arrived. Let X be the waiting time until the next customer arrives. Then X has exponential distribution with parameter λ=13. For any positive x,

Pr(X≤x)=∫x013e−t/3dt=1−e−x/3.(1)

Now we can answer the questions. Interpretation is needed, since there are some ambiguities in the questions.

Interpret the question as saying: "Customer Alicia has just arrived. What is the probability that there will be a customer who arrives later than Alicia, but no more than 3 minutes later." Then we want Pr(X≤3) . By (1), this is 1−e−3/3.

Interpret the question as saying that Alicia has just arrived, and we want the probability that there will be a gap of at least 6 minutes until the next customer arrives. Then we want

Pr(X>6) = 1−Pr(X≤6),

which is 1−(1−e−6/3).

6 0

3 years ago

the punking patch its open everyday if its sells 2750 pounds of punkings each dat about how many pounds does it sells in 7 dayas

SSSSS [86.1K]

It's just

2750 times 7

Because they sell 2750 pumpkins a day and the question is how many do they sell in 7 days

So:
2750 x 7 =
19250 pumpkins

Hope that helps and correct me if I'm wrong!

8 0

4 years ago

<img src="https://tex.z-dn.net/?f=x%20%20%5Cdiv%203x%20-%202%20%3D%201%20%5Cdiv%203x%20-%204" id="TexFormula1" title="x \div 3x

Maurinko [17]

Hello from MrBillDoesMath!

Answer:

x = 1/2 (1 +\- i sqrt(23))

Discussion:

x \3x - 2 = (x/3)*x - 2 = (x^2)/3 - 2 (*)

1 \3x - 4 = (1/3)x - 4 (**)

(*) = (**) =>

(x^2)/3 -2 = (1/3)x - 4 => multiply both sides by 3

x^2 - 6 = x - 12 => subtract x from both sides

x^2 -x -6 = -12 => add 12 to both sides

x^2-x +6 = 0

Using the quadratic formula gives:

x = 1/2 (1 +\- i sqrt(23))

Thank you,

MrB

4 0

3 years ago

The statement "The square of any rational number is rational" can be rewritten formally as "For all rational numbers x, x 2 is r

____ [38]

Answer:

For all non zero fraction 1(1/x), 1/x is a fraction

For all 1/(1/x), if 1/(1/x) is non zero, 1/x is a fraction

For all polynomial function f(x) = x³ + x² + x - 1, the derivative (dy/dx) is a polynomial function

For all f(x) x³ + x² + x - 1, if f(x) is polynomial, f'(x) is a polynomial function

For all angles x,y,z of a triangle, the sum, x + y + z = 180

For all x,y,z, if x,y and z are the angles of a triangle, x+y+z = 180

For all irrational numbers x, -x is irrational

For all x, if x is irrational then -x irrational.

For two integers, x and y, the sum x+y is an integer

For x,y if x and y are integers, then x + y is an integer

For two fractions, x/y and a/b the product ax/by is a fraction

For x/y and a/b, if x/y and a/b are fractions then ax/by is a fraction

3 0

3 years ago