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
We are given the following quadratic equation

The vertex is the maximum/minimum point of the quadratic equation.
The x-coordinate of the vertex is given by

Comparing the given equation with the general form of the quadratic equation, the coefficients are
a = 2
b = 7
c = -10

The y-coordinate of the vertex is given by

This means that we have a minimum point.
Therefore, the minimum point of the given quadratic equation is
Answer:

Step-by-step explanation:
To find : Convert 110 km/myr (kilometers per million years) to cm/yr (centimeters per year) ?
Solution :
Using metric conversions,
1 kilometer = 1000 meter
1 meter = 100 centimeter
So, 1 kilometer = 100,000 centimeter
and 1 million year = 1,000,000 year


So, 

Therefore, 
Answer:
(x - 4)(x + 4)(x - 1)(x + 1)
Step-by-step explanation:
Given
- 17x² + 16
Use the substitution u = x², then
u² - 17u + 16
Consider the factors of the constant term (+ 16) which sum to give the coefficient of the u- term (- 17)
The factors are - 16 and - 1, then
u² - 17u + 16
= (u - 16)(u - 1) ← replace u by x²
= (x² - 16)(x² - 1) ← both factors are difference of squares
= (x - 4)(x + 4)(x - 1)(x + 1)
Replace S with the given side length, then solve for d.
d=√2(37)^2
d= √2(1369)
d= √2738
d=52.33 cm long.