Which of the following expressions is the inverse of the function y equals quantity x minus 2 divided by 3

Answers

Answer 1

Answer: $y=(x-2)/(3)\ \ \ \ |change\ x\to y\ and\ y\to x\n\nx=(y-2)/(3)\to(y-2)/(3)=x\ \ \ \ |multiply\ both\ sides\ by\ 3\n\ny-2=3x\ \ \ \ |add\ 2\ to\ both\ sides\n\n\boxed{y=3x+2}\leftarrow answer$

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The graphs of the equations y=2x-7 and y-kx=7 are parallel when k equals

Answers

$y=2x-7 \ and \ y-kx=7 \n \n y=2x-7 \ and \ y=kx+7 \n \n two \ lines \ are \ parallel \ if \ their \ slopes \ are \ the \ same : \n \n k= 2$

Solve for x. 8(x + 1) - 3(x + 4) = 7(2 - x)

41/3

Answers

Step 1: Simplify both sides of the equation.
7(2-x)(41)
8(x+1)-3(x+4)= ----------------
3

Simplify: (Show steps)
-287 574
5x-4= ---------- x+ --------
3 3

Step2: Add 287/3x to both sides.
287 -287 574 287
5x-4+ -------x= ----------x+ -------+ -------x
3 3 3 3
302/3x-4=574/3

Step 3: Add 4 to both sides.

302/3x-4+4=574/3+4
302/3x=586/3

Step 4: Multiply both sides by 3/302.

(3/302)*(302/3x)=(3/302)*(586/3)

296
So your answer would be x= --------
151

Derive the equation of the parabola with a focus at (−5, 5) and a directrix of y = -1f(x) = −1/12 (x − 5)2 + 2
f(x) = 1/12 (x − 5)2 + 2
f(x) = −1/12 (x + 5)2 + 2
f(x) = 1/12 (x + 5)2 + 2

Answers

From the given information, the parabola is a regular parabola facing up with vertex at (-5, 2).
Required equation is (x + 5)^2 = 4p(y - 2)

But 2 + p = 5 => p = 5 - 2 = 3

Therefore, required equation is (x + 5)^2 = 4(3)(y - 2)
(x + 5)^2 = 12(y - 2)
y - 2 = 1/12 (x + 5)^2
y = 1/12 (x + 5)^2 + 2
f(x) = 1/12 (x + 5)^2 + 2

In 2013, Mary worked for Company A. Her salary for the year was $18 750.(i) $5625 of her salary was not taxed.

What percentage of her salary was not taxed?

Answer % [2]

(ii) The remaining $13125 of Mary’s salary was taxed. 22% of this amount was deducted for tax.
Mary’s take-home pay was the amount remaining from $18750 after tax had been deducted. She received this in 52 equal amounts as a weekly wage.

Calculate Mary’s weekly wage.

Answer $ [3]

(iii) In 2012 Mary had worked for Company B.
When she moved from Company B to Company A, her salary increased by 25% to $18750. Calculate her salary when she worked for Company B.

Answer $ [2]

Answers

Answer:

the answer is $2

Step-by-step explanation:

PLEASE HELP!!!!!!!!Rewrite the following compound statement as a biconditional.

If it rains, then I use an umbrella, and if I use an umbrella, then it is raining.

a. If I use an umbrella, then it is raining.
b. If my umbrella is broken, then it is not raining.
c. I use an umbrella, if it rains.
d. I use an umbrella if and only if it rains.

Answers

I think the correct answer from the choices listed above is option D. A biconditional statement is defined to be true whenever both parts have the same truth value. Therefore, the statement would be "I use an umbrella if and only if it rains." Hope this answers the question. Have a nice day.

Answer:

Your answer would be D.

I use an umbrella if and only if it rains.

Trust me on this it makes a lot of since

PLZ HELP IS DUE TODAYYY!! ‼️‼️ (there’s a pic of the problem)

Answers

Answer: x--1

Step-by-step explanation:

When you look at the tables the only x that is the same and gives the same answer is -1.

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A dietitian wishes to plan a meal around three foods. Each ounce of food A contains 10% of the daily requirements for carbohydrates, 10% for protein, and 15% for vitamin D. Each ounce of food B contains 10% of the daily requirements for carbohydrates, 5% for protein, and 0% for vitamin D. Each ounce of food C contains 10% of the daily requirements for carbohydrates, 12.5% for protein, and 10% for vitamin D. Let x, y, and z, respectively, be the number of ounces of foods A, B, and C required in order to supply exactly the daily requirements for each nutrient. Find them by setting up a system of equations and solving it.