Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Estimated number of voters in favor of additional restriction = 43%
Margin of Error = ±4%
Write and solve the absolute value equations to find the minimum and maximum percent of voters that support the restriction:
Minimum percentage of voters = 4% lesser than the estimated number of voters
Maximum percentage of voters = 4% greater than the estimated number of voters
Let number of voters = v
|v - 43%| = ±4%
v = - 4% + 43% = 39% = minimum percentage
v = +4% + 43% = 47% = maximum percentage
39% ≤ v ≤ 47%
Because that's how many times the quotient goes into the whole number.
100 divided by 4 = 25
100 divided by a lesser number than 4, say 2, = 50
100 divided by an even lesser number than 4, say 1, = 100.
Notice the pattern. Each time we divide by a lesser number, the quotient (the answer) gets larger and larger
Dividing by 1 already equals a quotient that is EQUAL to the original number we are dividing.
Thus, for the pattern to continue, the quotient must become greater than the number.
100 divided by an even lesser number than 1, say .5 = 200.
Answer:
y-5 = -2/3 (x+6)
Step-by-step explanation:
-2y = -3x -8
2y = 3x + 8
2/2 y = 3/2 x + 8/2
y = 3/2 x + 4
slope of a perpendicular line
- 2/3
y-5= -2/3(x-(-6)
y-5 = -2/3 (x+6)
Answer:
A. (3, -3)
Step-by-step explanation:
Let's use the addition/elimination for this to avoid fractions. You could solve one of the equations for y or x and then sub that value into the other equation, but you would have to deal with fractions along the way, so let's just not. Using the addition/elimination (they're the same thing; math books sometimes use one or the other), we line up our equations:
5x + 2y = 9
2x - 3y = 15
It looks like if we want to eliminate the y terms, we can multiply the top equation by 3 and the bottom equation by 2 to get a whole new set of equations:
15x + 6y = 27
4x - 6y = 30
Now we can see that when we add down the columns, the y's cancel each other out. 6y's minus 6y's leaves us with no y's. What we are left with is
19x = 57 so
x = 3.
Now we will sub that 3 back in to either of the original equations to solve for y:
2(3) - 3y = 15 and
6 - 3y = 15 and
-3y = 9 so
y = -3
The solution set then is (3, -3)
Im pretty sure its 14 i did the math
