Which answer is the equation of the line represented in function notation?A.) f(x) = 3x
B.) f(x) = -3
C.) f(x) = 0.3x
D.) f(x) = 3

Answers

Answer 1

Answer: The answer would be D.

Answer 2

Answer: Hello there.

Which answer is the equation of the line represented in function notation?

D.) f(x) = 3

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Ashton works as a marketing manager for a consumer products firm. His total earnings, A, in x months is given by the function A(x) = 2,400x + 40x2. His total savings, S, in x months is given by the function S(x) = 250x + 500.The function E(x) = 40x^2 + 2,150x - 500 40x^2 + 2,650x + 500 40x^2 + 2,150x + 500 40x^2 + 2,650x - 500 represents Ashton’s total expenses in x months.

Ashton’s expenses for 3 years total $ 6,310 8,810 128,740 147,740 .

Answers

E(x) = A(x) - S(x) = 2400x + 40x^2 - (250x + 500) = 2400x + 40x^2 - 250x - 500 = 40x^2 + 2150x - 500

Ashton's expenses for 3 years E(3) = 40(3)^2 + 2150(3) - 500 = 40(9) + 6450 - 500 = 360 + 5950 = $6,310

Final answer:

The functions for Ashton's earnings and savings are given, and his expenses should theoretically be his earnings minus savings. However, the question appears to contain errors, making this computation impossible. Therefore, the given scenario cannot be accurately analyzed.

Explanation:

From the question, we know Ashton's income is A(x) = 2,400x + 40x2, and his savings are S(x) = 250x + 500. His total expenses are represented by E(x) = 40x2 + 2,650x - 500, but it seems there was a mistake in the question with the repetition of the function E(x) and the incorrect total expenses over 3 years.

In principle, to get the equation for Ashton's expenses, we would subtract his savings from his earnings (A(x) - S(x) = E(x)), assuming the given functions are correct. This means, his expenses should equal to his earnings minus savings. However, this cannot be successfully applied because of inconsistencies in the given information.

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If three bags of birdseed cost $14.16, how much will 14 bags cost? A. $33.71
B. $66.08
C. $30.34
D. $70.80

Answers

All the information's required for solving this problem is already given in the question.
The cost of 3 bags of birdseed = 14.16 dollars
Then
The cost of 1 bag of birdseed = (14.16/3) dollars
So
The cost of 14 bags of birdseed = (14.16/3) * 14 dollars
= 198.24/3 dollars
= 66.08 dollars
So from the above deduction we can see that the correct option is option "B". The cost of 14 bags of birdseed is $66.08. I hope the procedure is clear enough for you to understand.

the correct cost would have to be b. $66.08. You have to divide $14.16 by 3, then multiply by 14.

What is the rate of change of y with respect to x in 2x - 3y = 6?

Answers

$2x-3y=6\n \n 3y=2x-6\n \n \frac { 1 }{ 3 } \cdot 3y=\frac { 1 }{ 3 } \left( 2x-6 \right) \n \n y=\frac { 2 }{ 3 } x-\frac { 6 }{ 3 } \n \n y=\frac { 2 }{ 3 } x-2\n \n \therefore \quad \frac { dy }{ dx } =\frac { 2 }{ 3 }$

This is because:

$y=k{ x }^( n )\n \n \frac { dy }{ dx } =kn{ x }^( n-1 )$

And also because when you differentiate a constant (i.e the number 2), what you always get is the value 0.

To increase or decrease an amount by 30% what single multiplier would you use?

Answers

100%-30%=70%
100%+30%=130%

to decrese by 30%, multiply by 70%
to increase by 30%, multiply by 130%

i think that would be x 30/100

Peter & Alex share a lottery win of £4450 in the ratio 4 : 1. Peter then shares his part between himself, his wife & their son in the ratio 1 : 6 : 3. How much more does his wife get over their son?