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3 years ago

Write a division problem that has a quotient of 1/20

Mathematics

1 answer:

alexdok [17]3 years ago

6 0

Answer:

5 divided by 100

Step-by-step explanation

5 divided by 100 is 0.05 but as a fraction, it's 1/20

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For the function f(x) = 7/2x-16, what is the difference quotient for all nonzero values of h?

sergey [27]

Answer:

$\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}$

Step-by-step explanation:

Given

$f(x) = \frac{7}{2}x - 16$

Required

The difference quotient for h

The difference quotient is calculated as:

$\frac{f(x + h) - f(x)}{ h}$

Calculate f(x + h)

$f(x) = \frac{7}{2}x - 16$

$f(x+h) = \frac{7}{2}(x+h) - 16$

$f(x+h) = \frac{7}{2}x+ \frac{7}{2}h- 16$

The numerator of $\frac{f(x + h) - f(x)}{ h}$ is:

$f(x + h) - f(x) = \frac{7}{2}x+ \frac{7}{2}h- 16 -(\frac{7}{2}x - 16)$

$f(x + h) - f(x) = \frac{7}{2}x+ \frac{7}{2}h- 16 -\frac{7}{2}x + 16$

Collect like terms

$f(x + h) - f(x) = \frac{7}{2}x -\frac{7}{2}x + \frac{7}{2}h- 16 + 16$

$f(x + h) - f(x) = \frac{7}{2}h$

So, we have:

$\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h \div h$

Rewrite as:

$\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h * \frac{1}{h}$

$\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}$

5 0

2 years ago

7w-180=52w what does w equal

BartSMP [9]

Answer: w= -4

Step-by-step explanation:

7w-180=52w

Subtract 7w on both sides.

-180=45w

Divide both sides by 45.

-4=w

4 0

3 years ago

Multiply (x+2y)(x^2-xy+3y)

Sergeeva-Olga [200]

Answer:

-2xy^2+x^2y+x^3+6y^2+3xy

Step-by-step explanation:

8 0

2 years ago

A gardener works for 13 hours during a week and charges $169 how much does the gardener charge for each hour?

bonufazy [111]

Answer:

You have to divide to unit price, 169/13 is equal to 13!

Step-by-step explanation:

7 0

2 years ago

Julie bought 12

Drupady [299]

She would have 12 seeds left from her planting of all packs

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3 years ago