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3 years ago

It cost $3.99 for 25 fl. oz. of detergent or $6.99 for 90 fl. oz. Which is a better buy?

Mathematics

2 answers:

stepladder [879]3 years ago

5 0

$6.99 for 90fl because 3.99 plus 3.99 is about 8 and 25 plus 25 is 50fl which is less the 6.99 for 90fl

vampirchik [111]3 years ago

3 0

<span>The 90 fl. oz. of detergent for $6.99 is a better deal because ;$3.99 per 25 fl. oz. or, 3.99/25, is equal to $0.16,and$6.99 per 90 fl. oz. or, 6.99/90, is equal to $0.08 (rounded).Thus, the 90 fl. oz. bottle costs less per ounce of detergent.</span>

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$\cfrac{base*height}{2}$

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3 years ago

(08.07 HC)

andreev551 [17]

Answer:

$\textsf{A)} \quad x=-2, \:\:x=\dfrac{5}{2}$

$\textsf{B)} \quad \left(\dfrac{1}{4},-\dfrac{81}{8}\right)=(0.25,-10.125)$

C) See attachment.

Step-by-step explanation:

Given function:

$f(x)=2x^2-x-10$

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The x-intercepts are when the curve crosses the x-axis, so when y = 0:

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$x=-2, \:\:x=\dfrac{5}{2}$

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$\implies x=\dfrac{-b}{2a}$

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$\implies x=\dfrac{-(-1)}{2(2)}=\dfrac{1}{4}$

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$\implies f\left(\dfrac{1}{4}\right)=2\left(\dfrac{1}{4}\right)^2-\left(\dfrac{1}{4}\right)-10=-\dfrac{81}{8}$

Therefore, the vertex of the function is:

$\left(\dfrac{1}{4},-\dfrac{81}{8}\right)=(0.25,-10.125)$

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