3 years ago

it costs $2.48 for a 16 ounce jar of peanut butter and $5.44 for a 40 ounce jar. which jar is the better buy

Mathematics

1 answer:

gogolik [260]3 years ago

7 0

Second one, please mark branliest

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In case you're not already aware, the expression $\frac{f(x+h)-f(x)}h$ is called the "difference quotient" and represents the average rate of change of a function $f$ over an interval $[x,x+h]$ .

For the function $f(x)=x^2+3x+4$ , by substituting $x+h$ we get

$f(x+h)=(x+h)^2+3(x+h)+4=(x^2+2xh+h^2)+(3x+3h)+4=x^2+3x+4+(2x+3)h+h^2$

Then the difference quotient is

$\dfrac{f(x+h)-f(x)}h=\dfrac{(x^2+3x+4+(2x+3)h+h^2)-(x^2+3x+4)}h$

$=\dfrac{(2x+3)h+h^2}h=2x+3+h$

where the last equality holds as long as $h\neq0$ .

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antiseptic1488 [7]

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4.21747×10^-5

Step-by-step explanation:

Your calculator can do the division for you. The ratio is about 4.21747×10^-5.

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