Graph the equation in a graphing calculator or in the table in a regular calculator and look for the zero on the x axis and the y axis
Answer:
3 days= $105, 6 days= $90, 10 days= $70
Step-by-step explanation:
You can rewrite this equation as y=120-5x
x is the amount of days passed
plug in 3 for x and you get 15. 120-15=105
plug in 6 for x and you get 30. 120-30=90
plug in 10 for x you get 50. 120-50=70
Hope this helps!
:)
Answer:
(8,21)
Step-by-step explanation:
Since both equations equal y, set both equaitions equal to each other
and solve for x
4x-11=x+13 , subtract x from both sides
3x-11=13, add eleven to both sides
3x=24, divide both sides by 3 to get x alone
x=8
Substitute x=8 into either equation to solve for y
y=4(8)-11
y=32-11
y=21
Answer:
x = pi/2 + 2 pi n x = pi + 2 pi n where n is an integer
x = 5pi /3 + 2 pi n
Step-by-step explanation:
8 cos^2 x + 4 cos x-4 = 0
Divide by 4
2 cos^2 x + cos x-1 = 0
Let u = cos x
2 u^2 +u -1 =0
Factor
(2u -1) ( u+1) = 0
Using the zero product property
2u-1 =0 u+1 =0
u = 1/2 u = -1
Substitute cosx for u
cos x = 1/2 cos x = -1
Take the inverse cos on each side
cos ^-1(cos x) = cos ^-1(1/2) cos ^-1( cos x) =cos ^-1( -1)
x = pi/2 + 2 pi n x = pi + 2 pi n where n is an integer
x = 5pi /3 + 2 pi n
Answer:
No; the slopes of segment EF and segment DF are not opposite reciprocals.
Step-by-step explanation:
The slope between two points O(e, f) and X (g,h) is given as:
The slopes of segment EF and segment DF are given below:
For triangle DEF to be a right triangle, DF and EF are supposed to be perpendicular to each other. Two line are said to be perpendicular if the product of their slope is -1, i.e the slope of one line is the negative reciprocal (opposite reciprocal) of the other line.
Since the slope of DF and EF are not opposite reciprocals, ΔDEF is not a right triangle.
