Step-by-step explanation:
f(0) = 3
g(0) = 6
Therefore, g(x) has the greater y-intercept.
Answer:
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(3-(-1))/(-2-4)
m=(3+1)/-6
m=4/-6
simplify
m=-2/3
y-y1=m(x-x1)
y-(-1)=-2/3(x-4)
y+1=-2/3(x-4)
y+1=-2/3x+8/3
y=-2/3x+8/3-1
y=-2/3x+8/3-3/3
y=-2/3x+5/3
y-(-2/3x)=5/3
y+2/3x=5/3
2/3x+y=5/3
3(2/3x+y)=3(5/3)
2x+3y=5
2x+3y-5=0
Answer:
a. 25%
b. $1560
c. $130
Step-by-step explanation:
a.
If 75% is paid by company, the rest is paid by Ruth.
Out of 100%, 75% is paid by company, so Ruth pays 100 - 75 = 25%
b.
Per year, the total amount paid is 6240, but Ruth pas 25% of this. So,
25% = 0.25
To get the answer, we multiply 0.25 with 6240.
0.25 * 6240 = 1560
So, $1560 is paid by Ruth annually.
c.
Since 1560 is paid annually (in 12 months), each month Ruth has to pay:
1560/12 = $130
Hence, $130 is deducted each month from her paycheck
Answer:
x=10, y=25
Step-by-step explanation:
First, in a trapezoid, the two angles on the same leg (the legs are the opposite sides that are not parallel) add up to 180 degrees. Therefore, 4y as well as (2y+3x) are supplementary. We can write this out as
4y + (2y+3x) = 180
6y+3x = 180
Next, the angles of a triangle add up to 180 degrees. Therefore, as the angles 2y, 4y, and (5x-20) make up a triangle, they add up to 180 degrees. We can write this as
4y + 2y + (5x-20) = 180
6y + 5x -20 =180
Our two equations are thus
6y + 5x - 20 = 180
6y + 3x = 180
If we subtract 6y from both sides in each equation, we can say
5x - 20 = 180-6y
3x = 180-6y
Therefore, we can write
5x-20 = 180-5y = 3x
5x-20=3x
subtract 3x from both sides to make all x variables on the same side
2x-20 = 0
add 20 to both sides to isolate the x and its coefficient
2x = 20
divide both sides by 2 to isolate x
x = 10
Therefore,
x = 10
6y + 3x = 180
6y + 30 = 180
subtract 30 from both sides to isolate the y and its coefficient
6y = 150
y = 25
Answer:
I think 4000 worker and I will be there at some point today and I
