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3 years ago

Solve 3kx + 24 = 9 kx for x.

Mathematics

1 answer:

uranmaximum [27]3 years ago

6 0

Answer:

Step-by-step explanation:

3kx + 24 = 9kx

First subtract 3kx to both sides.

24 = 9kx - 3kx

24 = 6kx

Divide both sides by 6

24/6 = kx

4 = kx

Divide both sides by k.

4/k = x

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The sales tax in your city is 8.8%, and an item costs $63 before tax.

Maru [420]

Answer: 5.54

Step-by-step explanation:

amount of tax paid = item cost * tax rate

item cost = 63

tax rate - 8.8% = 0.088

tax paid = 63 * 0.088 = 5.54

8 0

4 years ago

Read 2 more answers

Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antid

romanna [79]

Answer:

1) F(x)= $\frac{2x^{5} }{5}+x^{4}-\frac{x^{2} }{2}+C$

2) $f(x)=\frac{8x^5}{5}-\frac{3x^4}{2}+\frac{4x^3}{3}+D$

Step-by-step explanation:

Applying the antiderivation rules:

F(x)= $\frac{2x^{4+1} }{4+1}+4\frac{x^{3+1} }{3+1}-\frac{x^{1+1} }{1+1}+C$

F(x)= $\frac{2x^{5} }{5}+x^{4}-\frac{x^{2} }{2}+C$

Checking by differentitation we have:

$F'(x)=2*\frac{5x^{4} }{5}+4*\frac{4x^3}{4}+2*\frac{x}{2}\\F'(x)=2x^4+4x^3-x=f(x)$

Which is demonstrated.

2) To find f we must antiderivate twice:

$f'(x)=\int\limits {(32x^3-18x^2+8x)} \, dx\\f'(x)=8x^4-6x^3+4x^2+C\\f(x)=\int\limits( {8x^4-6x^3+4x^2)} \, dx\\ f(x)=8\frac{x^5}{5}-6\frac{x^5}{5}+4\frac{x^3}{3}+D\\ f(x)=\frac{8x^5}{5}-\frac{3x^4}{2}+\frac{4x^3}{3}+D$

5 0

3 years ago

What is the length of segment NQ?

babymother [125]

7 units !! Can you mark me braliest?

6 0

3 years ago

Help me please,,,,,,,,,,,,,,,,

hichkok12 [17]

Answer:

ill help you what do you need help on tho???

Step-by-step explanation:

4 0

3 years ago

it is 24.8 km to drive from Cortland to marathon each school day how many meter does she travel from Cortland to marathon

Bezzdna [24]

Answer:

24,800 meters

Step-by-step explanation:

We basically have to convert km to m, or kilometers to meters. For this we need the conversion factor:

1000 meters = 1 kilometers

So change from kilometers to meters, we simply need to multiply by 1000. Thus, we would have:

24.8 km * 1000 = 24,800 meters

Thus,

24.8 km = 24,800 m

5 0

3 years ago