Translate this sentence into an algebraic equation.

Mathematics

2 answers:

kondaur [170]3 years ago

5 0

The answer is D, because the question asks for "...the sum of x and 5..." which means that they want x and 5 to be together, so that eliminates every answer choice except D.

sukhopar [10]3 years ago

4 0

Your question states...

Sixteen -------> 16
divided by -------> /
the sum of x and 5 -----> x+5
is 12 ------> = 12

16/x+5 = 12

Answer D

The reason it is NOT answer A is because is says "divided by the sum of x and 5". In the order of operations, division happens before addition, so if it did not say "the sum of", then 16 divided by x (16/x) would happen before adding 5 (like in answer A). But is says "the sum of" so you have to do the addition first.

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Identify the parent function that can be used to graph the function f(x)= |4|-3

son4ous [18]

Answer: Option d.

Step-by-step explanation:

1. The parent function of an absolute value function is shown below:

f(x)=|x| (This is the simplest form). Because from this function we can make transformations that allow us to obtain the function f(x) = 4|x| -3

2. If you take the parent function and make y= f(x)-3/4, then you have:

y= f(x)-3/4=|x|-3/4 (The function is shifted down 3/4 units on the y-axis).

3. Then you if you make y= 4(f(x)-3/4), as following, you obtain:

y = 4(f(x)-3/4))=4|x|-3 (The function is reflected in the y-axis).

4. That is how you obtain the final function. $f(x) = 4|x|-\frac{3}{4}$