A=$20.20/10gal=$2.02 per gal

B=$26.04/12gal=$2.17 per gal

C=$28.14/14gal=$2.01 per gal

D=$30.45/15gal=$2.03 per gal

So C is the cheapest per gallon.

3 0

3 years ago

Use the definition of a derivative to find f’(x).

tatyana61 [14]

Answer:

f'(x) = $-\frac{9}{x^2}$

Step-by-step explanation:

i) f(x) = 9 / x

ii) f'(x) = $$\lim_{h\to 0} \frac{f(x+h) - f(x)}{h} $ \hspace{0.2cm}$

$= $\lim_{h\to 0} \frac{\frac{9}{x+h} - \frac{9}{x} }{h} = \hspace{0.1cm} $\lim_{h\to 0} \frac{9x - 9(x+h)}{hx(x+h)} $ \hspace{0.1cm} = \hspace{0.1cm}$\lim_{h\to 0} \frac{-9h}{hx(x+h)} = $\lim_{h\to 0} \frac{-h}{x(x+h)} = \frac{-9}{x^2}$$

7 0

3 years ago

Levi is going to see a movie and is taking his 5 kids. Each movie ticket costs $14 and there are an assortment of snacks availab

olga nikolaevna [1]

Answer:

Levi would have to pay $94 if he bought all 5 kids movie tickets and 6 snacks for everyone to share (god that's a lot of money for a movie)

Step-by-step explanation:

3 0

2 years ago

Find the value of two numbersif their sum is 12 and their difference is 4

Sonbull [250]

We can set up a system of equations:

x + y = 12
x - y = 4

Adding these two together:

2x = 16
x = 8

Substituting 8 in the first equation:

8 + y = 12
y = 4

Hope this helps!

5 0

3 years ago

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