Answer: 1 2/3 Liters
Step-by-step explanation:
The equation is going to be the amount of soda, multiplied by the amount of bottles Keisha has
5/9 x 3/1 (3/1 is equivalent to having 3 or 1+1+1)
We are going to multiple the numbers, numerator by numerator, and denominator by denominator since we do not need to add or subtract
- Numerator= 5x3=15
- Denominator= 9x1=9
Your improper awnser would be 15/9
DO NOT STOP HERE THIS IS NOT THE SIMPLEST FORM
- Create the simplest mixed number
15/9 is equal to 15 divided by 9
we can fit 1 9 in 15 without going over
1 ?/15
15-9=6
1 6/9
6 and 9 are both divisible by 3
6 divided by 3 = 2
9 divided by 3 = 3
1 6/9=1 2/3
- Awnser and add your units
1 2/3 is the simpelest form, this can not be further divided.
1 2/3 Liters of Soda
Since 4i is a root, that automatically means -4i is also a root (complex roots always travel in pairs)
So the factored form would look like
<span>(x+4i)(x−4i).</span>
When multiplied out this gives the polynomial
<span><span>x2</span>+<span>16.</span></span>
Answer:
{x,y} = {6/5,23/10}
Step-by-step explanation:
[1] 7x + 2y = 13
[2] 4x + 4y = 14 <---------- linear equations given
Graphic Representation of the Equations : PICTURE
2y + 7x = 13 4y + 4x = 14
Solve by Substitution :
// Solve equation [2] for the variable y
[2] 4y = -4x + 14
[2] y = -x + 7/2
// Plug this in for variable y in equation [1]
[1] 7x + 2•(-x +7/2) = 13
[1] 5x = 6
// Solve equation [1] for the variable x
[1] 5x = 6
[1] x = 6/5
// By now we know this much :
x = 6/5
y = -x+7/2
// Use the x value to solve for y
y = -(6/5)+7/2 = 23/10
// Plug this in for variable y in equation [1]
[1] 7x + 2•(-x +7/2) = 13
[1] 5x = 6
// Solve equation [1] for the variable x
[1] 5x = 6
[1] x = 6/5
// By now we know this much :
x = 6/5
y = -x+7/2
// Use the x value to solve for y
y = -(6/5)+7/2 = 23/10