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34kurt
3 years ago
8

Joshua is planning to make a large consumer purchase. If the item costs x dollars in his home state of West Virginia, where the

tax rate is 6%, the function f(x) = 0.06x + x represents his total costs. Write a function g(x) to represent Joshua’s total costs if he decides to make the purchase in his neighboring state of Virginia, where the tax rate is 5%. How will the graph of g(x) differ from f(x)?
Mathematics
1 answer:
defon3 years ago
3 0

Answer:

g(x)=.05x+x

The graphs will be very similar but f(x) first one should increase a little faster

Step-by-step explanation:

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Answer: .625 I believe

Step-by-step explanation:

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3 years ago
Work out 1 1/5 + 3 2/5
MariettaO [177]

Answer:

Answer is 4 3/5

Step-by-step explanation:

Rewriting our equation with parts separated

=1+15+3+25

Solving the whole number parts

1+3=4

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15+25=35

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3 years ago
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Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that s
WINSTONCH [101]

Answer:  \bold{c=\dfrac{1+\sqrt{19}}{3}\approx1.8}

<u>Step-by-step explanation:</u>

There are 3 conditions that must be satisfied:

  1. f(x) is continuous on the given interval
  2. f(x) is differentiable
  3. f(a) = f(b)

If ALL of those conditions are satisfied, then there exists a value "c" such that c lies between a and b and f'(c) = 0.

f(x) = x³ - x² - 6x + 2     [0, 3]

1. There are no restrictions on x so the function is continuous \checkmark

2. f'(x) = 3x² - 2x - 6 so the function is differentiable \checkmark

3. f(0) =  0³ - 0² - 6(0) + 2 = 2

   f(3) =  3³ - 3² - 6(3) + 2  = 2

   f(0) = f(3) \checkmark

f'(x) = 3x² - 2x - 6 = 0

This is not factorable so you need to use the quadratic formula:

x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(3)(-6)}}{2(3)}\\\\\\.\quad =\dfrac{2\pm \sqrt{4+72}}{2(3)}\\\\\\.\quad =\dfrac{2\pm \sqrt{76}}{2(3)}\\\\\\.\quad =\dfrac{2\pm 2\sqrt{19}}{2(3)}\\\\\\.\quad =\dfrac{1\pm \sqrt{19}}{3}\\\\\\.\quad \approx\dfrac{1+4.4}{3}\quad and\quad \dfrac{1-4.4}{3}\\\\\\.\quad \approx1.8\qquad and\quad -1.1

Only one of these values (1.8) is between 0 and 3.

5 0
3 years ago
Jina must choose a number between 49 and 95 that is a multiple of 3, 9. and 12.
emmainna [20.7K]
The answer should be 72 because all the multiples go into that number
72/3=24, 72/9=8, and 72/12= 6
And the number is between 49 and 95
Can u make me brainiest answer after please
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3 years ago
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katrin [286]

Answer:

C

Step-by-step explanation:

In a regular pentagon the side lengths are the same

so 4

C

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3 years ago
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