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3 years ago

11

A student cost for last semester at her community college was 2300 she spent 414 of that on books what percent of last semester’

s college costs was spent on books ?

1 answer:

Crank3 years ago

5 0

414/2300 ×100% = 18%

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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:

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

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

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If you were to plot a graph of the profit generated by this book, what would the slope and the y-intercept represent?

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What is the book? Show an image please.. I would love to help!

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kirza4 [7]

$10x+y-(10y+x)=36\\
10x+y-10y-x=36\\
9x-9y=36\\
x-y=4\\\\
x,y\in\{1,2,3,4,5,6,7,8,9\}\\
\Downarrow\\
x=5,y=1\\
x=6,y=2\\
x=7,y=3\\
x=8,y=4\\
x=9,y=5


$

There are 5 such numbers - 51,62,73,84,95

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3 years ago

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LekaFEV [45]

Answer:

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Step-by-step explanation:

4x + 10 - 30

4 × 5 + 10 - 30

20 +10 - 30

30 - 30

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Find the maximum number of children to whom 30 sweaters and 45 trousers can be equally divided. Also find out how many sweaters

Vinvika [58]

Answer:

15 children can divide them with eachother, each get 2 sweaters and 3 trousers

Step-by-step explanation:

15×2=30

15×3=45

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