Remember you can do anything to an equaiton as long as you do it to both sides
3-2(2x-3)=17
minus 3 from both sides
3-3-2(2x-3)=17-3
-2(2x-3)=14
divide both sides by -2
2x-3=-7
add 3 to both sides
2x+3-3=3-7
2x=-4
divide both sides by 2
x=-2
There are 3 methods to solve this. elimination substitution and graphing but i am going to use the elimination method.
x+2y=17
<u> x-y =2
</u> 0+3y =15 ( subtracted down to eliminate the x)( x-x=0, 2y-(-y)=3y, and 17-2=15)
3y=15 (divide both sides by 3 to solve for y)
y=5
<u>substitute the y=5 in any of the above equations and solve for x
ie... ( </u>meaning where you find y in the equation, u replace it with a 5)
it will be easier to solve for x in (x-y=2) so i will use that one.
x-(5)=2 ( add 5 on both sides to solve for x)
x=7
Answer:
y + 1 = -2/7 (x + 4)
Step-by-step explanation:
Find the slope using y₂ -y₁ /x₂ -x₁
m = -3 + 1 / 3 + 4
m = -2/7
Plug the m, x and y into the point slope equation y - y₁ = m ( x - x₁)
y + 1 = -2/7 (x + 4)
The correct answer is 17: 30
Explanation:
The purpose of a ratio is to express the relationship between two elements in terms of quantities. For example, if there are 5 oranges and 4 lemons the ratio is 5 to 4. Additionally, this relationship between the quantities of two different things can be expressed as a fraction, by using a colon (:) or by using the word "to." In the last two cases, the colon or word "to" separate the two amounts compared.
In the case presented, the total of days observed was 30 days (17 days with rain + 13 days with no rain) and the ratio of rainy days to the total of days can be expressed as 17:30, 
or as 17 to 30, considering there were 17 rainy days out of a total of 30 days.
The vertex of the feasibility region are (0, 0), (0, 5), (4, 0) and (14, 5)
For (0, 0): z = 4(0) - 1/3(0) = 0
For (0, 5): z = 4(0) - 1/3(5) = -5/3
For (4, 0): z = 4(4) - 1/3(0) = 16
For (14, 5): z = 4(14) - 1/3(5) = 56 - 5/3 = 163/3
Therefore, the minimum value is z = -5/3 at point (0, 5).
