Which best describes how to find an equation of the line shown?A. The slope m is rise over run, so y over x =m. Solve for Y to get y=mx.

B. The slope m is run over rise, so x over y=m. Solve for x=ym.

C. The slope m is run over rise, so x over y=m. Solve for y to get y= x over m.

D. The slope m is rise over run, so x over y=m. Solve for x to get x=ym.
Which best describes how to find an equation of the - 1

Answers

Answer 1
Answer:

Answer:

A

Step-by-step explanation:

m (slope) =  rise    =    y    =  y₁ - y₁

                   run           x        x₁ - x₁

to get y = mx

therefore, the answer to the question is :

A. The slope m is rise over run, so y over x =m.

    Solve for y to get y=mx.


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2) Zoe was practicing for a marathon. She practiced for six days, runningfour miles each day. How many miles did Zoe run altogether?

Answers

Answer: zoe ran 24 miles

Find the exact values of the numbers c that satisfy the conclusion of the Mean Value Theorem for the interval [−2, 2]. (Enter your answers as a comma-separated list.)

Answers

Answer:

The answer is "\bold{c= \pm (2)/(√(3))}"

Step-by-step explanation:

If the function is:

\to f'(x) = 3x^2-2 \n\n\to f'(c) = 3c^2-2

points are:

\to  -2 \leq x \leq2

use the mean value theorem:

\to f'(c) = ( f(b)- f(a))/(b-a)

            = ( f(2)- f(-2))/(2-(-2))\n\n= (4-(-4) )/(4)\n\n= (8)/(4)\n\n= 2

\to 3c^2-2=2 \n\n\to 3c^2=4  \n\n\to c^2=(4)/(3) \n\nc= \pm (2)/(√(3))

Final answer:

The Mean Value Theorem states that for a continuous and differentiable function on a closed interval, there exists at least one 'c' within that interval where the average change rate equals the instantaneous rate at 'c'. In the given case of interval [-2,2], to find 'c', first calculate the average slope between the points (f(2)-f(-2))/4. Then equate this average slope to the derivative 'f'(c). The solution(s) to this equation are the c values for this problem.

Explanation:

The subject of this question pertains to the Mean Value Theorem in Calculus. According to this theorem, if a function f is continuous on a closed interval [a, b] and differentiable on the open interval (a, b), then there exists at least one number c in the open interval (a, b) such that the average rate of change over the interval equals the instantaneous rate of change at c.

In the given case, we're trying to find the 'c' value for the interval [-2,2]. First, we need to find the average slope between the two points. Assuming f is your function, that would be (f(2)-f(-2))/ (2 - -2). Subtract the function values of the two points and divide by the total interval length. Next, we need to see where this average slope equals the instantaneous slope 'f'(c), this entails solving the equation 'f'(c) = (f(2)-f(-2))/4. The solution to this equation will be the c values that satisfy the Mean value theorem within the provided interval.

Learn more about Mean Value Theorem here:

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On January 1, 2021, White Water issues $410,000 of 7% bonds, due in 10 years, with interest payable semiannually on June 30 and December 31 each year.Assuming the market interest rate on the issue date is 8%, the bonds will issue at $382,141.

Record the bond issue on January 1, 2021, and the first two semiannual interest payments on June 30, 2021, and December 31, 2021. (If no entry is required for a particular transaction/event, select "No Journal Entry Required" in the first account field. Round your final answers to the nearest whole dollar.)

Answers

The appropriate journal entries to record the bond issue on January 1, 2021, and the first two semiannual interest payments on June 30, 2021, and December 31, 2021 are:

White Water journal entries

1-Jan-21

Debit Cash $382,141

Credit Discount on Bonds Payable $27,859

($410,000-$382,141)

Credit Bonds payable  $ 410,000

30-Jun

Debit Interest Expenses $ 15,286

($382,141 x 8%/2)  

Debit Discount on Bonds Payable $736

Credit Cash $14,350

($410,000 x 7%/2)  

31-Dec

Debit Interest Expenses $15,315.08

[($382,141 + 736) x 8%/2]

Credit Discount on Bonds Payable $965.08

($15,315.08-$14,350)

Credit Cash $14,350

($410,000 x 7%/2)

Learn more here:

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Answer:

Step-by-step explanation:

Please solve for x. Show the process (steps).
4x = 40​

Answers

Answer:

x = 10

Step-by-step explanation:

4x = 40

you divide both sides by 4

and it gets you

x = 10

hope this helps

Answer:

x=10

Step-by-step explanation:

lets reverse engineer this. 4x=40. What is known in this? We know 40 is the unit amount of 4x. So we need to find out what x is, than multiply it by 4. We can do this by doing the opposite of multiplying, which is dividing! So we divide 4 by 40, which we get the answer 10! We know this is the correct answer because we can factor it into the equation. So 4*10=40!!! hope this helped!!!

Kendra sold 200 shares through her broker in June 8. The price per share was $22.10. The broker charged her a 0.5% commission on the total value. What was Kendra’s return on the trade?

Answers

Answer:

A. $4397.9

Step-by-step explanation:

We are given that Kendra sold 200 shares and that the price per share was $22.1

This means that:

Total value = 200 * 22.1 = $4420

Now, we know that the broker charged 0.5% commission on the total value

This means that:

Broker's charge = 0.5% * 4420 = 0.005 * 4420 = $22.1

Therefore,

Kendra's return = Total value - broker's charge

Kendra's return = 4420 - 22.1 = $4397.9

Hope this helps :)

A high school soccer goalie blocked the ball from going into the goal 4 out of 5 times if the ball was kicked toward the goal 40 times how many blocks did the goalie make ​

Answers

Answer:

32 times

Step-by-step explanation:

4/5:x/40 ----x=32