3 years ago

If p(x) = x + 3, then p(x) + p(–x) is equal to ??

Mathematics

1 answer:

lina2011 [118]3 years ago

5 0

Answer:

The answer is 6

Step-by-step explanation:

p(x) = x + 3

p(-x) = -x + 3

=> p(x) + p(-x) = x + 3 + (-x) + 3 = 6

Hope this helps!

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A 20% apple juice drink is mixed with a 100% apple juice drink. The function f(x)=(2)(1.0)+x(0.2)2+x models the concentration of

luda_lava [24]

Answer:

17.5

Step-by-step explanation:

Given that:

20% apple juice drink is mixed with a 100% apple juice drink.

$f(x)=\dfrac{(2)(0.1)+x(0.2)}{2+x}$

represents the concentration of apple juice in the drink when $x$ gallons of 20% drink are added to 2 gallons of pure juice.

Also, given that 6 gallons of 20% drink are added to the 2 gallons of pure juice.

To find:

The concentration of apple juice in the drink = ?

Solution:

Given the function:

$f(x)=\dfrac{(2)(0.1)+x(0.2)}{2+x}$

and

$x=6\ gallons$

$f(x)=\dfrac{(2)(0.1)+6(0.2)}{2+6}\\\Rightarrow f(x)=\dfrac{0.2+1.2}{8}\\\Rightarrow f(x)=\dfrac{1.4}{8}\\\Rightarrow f(x)=\bold{0.175}$

In percentage, the concentration 17.5.

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