Answer:
The correct option is C)
Step-by-step explanation:
Consider the provided ordered pairs.
The function will be exponential function if the ratio of y value remains the same.
Consider the option
Option A:
The ratio of 1/4 and 1 is 1/4 but the ratio of 1/3 and 1/4 is not 1/4.
Therefore, option A is incorrect.
Option B:
The ratio of 1/4 and 1 is 1/4 but the ratio of 1/9 and 1/4 is not 1/4.
Therefore, option B is incorrect.
Option C:
The ratio of 1/4 and 1/2 is 1/2, the ratio of 1/8 and 1/4 is 1/2
Similarly the ratio of 1/16 and 1/8 is 1/2,
Therefore, option C is correct.
Option D:
The ratio of 1/4 and 1/2 is 1/4 but the ratio of 1/6 and 1/4 is not 1/4.
Therefore, option D is incorrect.
Answer:
Orange = 12
Grape = 15
Cola = 23
Step-by-step explanation:
Turning this into equations you can give each soda a variable
Cola = C | Grape = G | Orange = R
Then you get:
8 + G = C
R + 3 = G
C + G + R = 50
We want to get a variable all by itself in an equation so first I'm going to put the second equation (R + 3 = G) in the first (8 + G = C) by replacing the G to get
8 + (R + 3) = C Combine the variables 11 + R = C and put that new equation into the last equation
(11 + R) + G + R = 50
Now plug our original second equation (R + 3 = G) into our third to get
(11 + R) + (R + 3) + R = 50
Combine and get
14 + 3R = 50 Subtract over the 14
3R = 36 Divide by 3
Orange Sodas = 12
Our new 3rd Equation is now: C + G + 12 = 50, subtract over 12 to get
C + G = 38
Plug either equation 1 or 2 into that one, I'll do 1
(8 + G) + G = 38
8 + 2G = 38
2G = 30
Grape Sodas = 15
Now our 3rd equation is C + 15 = 38, subtract over 15
Cola Sodas = 23
Orange = 12
Grape = 15
Cola = 23
12 + 15 + 23 = 50
Answer:
k = 0
Step-by-step explanation:
-2k = 8k + 7k
Add similar elements:
-2k = 15k
Subtract 15k from both sides:
-2k - 15k = 15k - 15k
Simplify:
-17k = 0
Divide both sides by -17:
17k/-17 = 0/-17
k = 0
I wasn't sure if you wanted me to solve for k or combine the like terms.
Answer:
(2,1)
Step-by-step explanation:
So the first thing you want to do is substitute. You want to plug in the equation for y in for the y value above.
So you would do 3x+4(x-1)=10. As you can see we took the bottom equation and put it in for the top equation. We did this so we only have x s and no y s.
Now you would solve. You would distribute first. You would get 3x+4x-4=10. Now combine like terms. 3+4 is 7 so you would get 7x-4=10.The next thing you want to do is get the 7x by itself so move the 4.You would get 7x=14. Now divided both sides by 7 because you want to get the x by itself.
You would get x=2. Now for the y value just plug it in for an equation above. The easier one would be y=x-1. y=(2)-1 will equal 1. You write your final answer in (x,y) style. Your final answer will then be (2,1)