I don't understand how to do this

Mathematics

1 answer:

just olya [345]2 years ago

5 0

You cross multiple to get the same denominator so you can properly divide the fraction

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12-ounce bottle of orange juice contains 33 grams of sugar. Complete the table to determine the amount of sugar in different siz

svp [43]

A proportional relationship is a relationship between variables such that the amount of one variable is a multiple of the other variable

A table showing the amount of sugar in different sizes of orange juice is presented as follows;

$\begin{array}{|c|cc|}\mathbf{Amount \ of \ orange \ juice, \ x}&&\mathbf{Quantity \ of \, sugar\ (g), \ f(x)}\\3&&8.25\\6&&16.5\\9&&24.75\\12&&33\\15&&41.25\end{array}\right]$

Reason:

The given parameter are;

12 ounces of orange juice contains 33 grams of sugar

Therefore, we have;

The amount of sugar per ounce of orange juice is given as follows;

$1 \ ounce \ of \ orange \ juice \ contains, \dfrac{33 \ grams }{12 } = 2.75 \, grams \, of \, sugar$

Therefore, there are 2.75 grams of sugar per ounce of orange juice

which gives;

The amount of sugar in different sizes of orange juice, f(x) = 2.75·x

Where <em>x</em> represents the amount of orange juice, and f(x) represents the amount of sugar in the orange juice

A table showing the amount of sugar present in different sizes of orange juice is given as follows;

$\begin{array}{|c|cc|}\mathbf{Amount \ of \ orange \ juice, \ x}&&\mathbf{Quantity \ of \, sugar\ (g), \ f(x)}\\3&&8.25\\6&&16.5\\9&&24.75\\12&&33\\15&&41.25\end{array}\right]$

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7 0

2 years ago

14 ONLY PLEASE!!!!!!

Margarita [4]

I cant see the pic so can u typ it in?

3 0

2 years ago

For a particular angle theta, the cosine function f(x) = a cos b(theta) has the following values within one cycle of the functio

Anton [14]

For function $f(x)=a\cos b\theta$ we have that $f(0) =4,\ f( \frac{\pi}{2} )=-4,\ f(\pi)=4$ . This means that period of cosine function is π. Then from the formula for period $T= \frac{2\pi}{b}$ you obtain that $\pi= \frac{2\pi}{b}$ and b=2.

So, the function is $f(x)=a\cos 2\theta$ . If f(0)=4, then $a\cos0=4$ and, respectively, a=4.
Answer: $f(x)=4\cos 2\theta$ .