Answer:
g(2) = 27 is the answer.
Step-by-step explanation:
If the function is g(x) = (5 - x)³
By expanding (5 - x)³ = 5³-3.5²x + 15x² -x³
g(x) = 125 - 75x + 15x² - x³
Now g(2) = 125 - 75×2 + 15×(2)² - 2³
g(2) = 125 - 150 + 60 - 8
= -25 + 60 - 8
= 35 - 8 = 27
Or directly putting the value x = 2 in g(x) we get
g(2) = (5 - 2)³ = 3³ = 27
Therefore g(2) = 27 is the answer.
Variables are taken from the first letter of the color, ex: green = g.
Given:
r = g
2r = b = y
Total =42
So then:
r+ r + 2r + 2r = 42
6r = 42
r = 7
y = 2r
y = 2(7)
14 of the 42 pencils were yellow.
Answer: 3 red marbles, 3 blue marbles, 6 yellow marbles, 8 black marbles, 4 silver marbles
Step-by-step explanation:
I know these are the correct number of marbles because I set up these numbers as fractions and solved for x.
For examples, 2/16 of the marbles are red. 2/16=x/24
You would do this because we are trying to find the number of marbles that are red out of the 24 marbles.
Next, we would do 24 divided by 16= 1.5 Then 1.5 times 2=3
You would follow this rule for each fraction of marbles in order to find the true number of marbles out of 24.
3x - 15 = 105
3x = 120
x = 40
3(40) - 15 + y + 24 = 180
120 - 15 + y + 24 = 180
129 + y = 180
y = 51