I need help with D please somebody help me with the figuring out how to get the answer

Mathematics

1 answer:

JulijaS [17]3 years ago

4 0

let's bear in mind that 1 Cup = 8 fl oz.

a) is absolutely correct, 18oz and thus they can fit fine in the 24oz container.

b) is correct, 24 - 18 = 6, we can fit in 6 more oz, which is 3/4 of a cup.

c) is correct as well

we just need to convert c) units to fluid ounces

$\bf 2\frac{1}{4}\implies \cfrac{9}{4}\cdot 8\implies \boxed{18}~\hfill 3\cdot 8\implies \boxed{24} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{juice}}{18}+\stackrel{\textit{water}}{12}+\stackrel{\textit{ice cream}}{24}\implies 54~\textit{fluid ounces}$

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iogann1982 [59]

Okay thanks for letting me know I love you love love bye

4 0

3 years ago

HELP ME!!!

larisa [96]

Answer:

-2, 8/3

Step-by-step explanation:

You can consider the area to be that of a trapezoid with parallel bases f(a) and f(4), and width (4-a). The area of that trapezoid is ...

A = (1/2)(f(a) +f(4))(4 -a)

= (1/2)((3a -1) +(3·4 -1))(4 -a)

= (1/2)(3a +10)(4 -a)

We want this area to be 12, so we can substitute that value for A and solve for "a".

12 = (1/2)(3a +10)(4 -a)

24 = (3a +10)(4 -a) = -3a² +2a +40

3a² -2a -16 = 0 . . . . . . subtract the right side

(3a -8)(a +2) = 0 . . . . . factor

Values of "a" that make these factors zero are ...

a = 8/3, a = -2

The values of "a" that make the area under the curve equal to 12 are -2 and 8/3.

_____

<em>Alternate solution</em>

The attachment shows a solution using the numerical integration function of a graphing calculator. The area under the curve of function f(x) on the interval [a, 4] is the integral of f(x) on that interval. Perhaps confusingly, we have called that area f(a). As we have seen above, the area is a quadratic function of "a". I find it convenient to use a calculator's functions to solve problems like this where possible.