Answer: y<1x-2
Step-by-step explanation:
Find some coordinates on the line to write a slope intercept form equation for the line and turn it into inequality.
First we need to find the slope and the y-intercept. The y intercept is when x is 0 and as we can see it already indicates that the y intercept is -2 .
(0,-2)
(2,0) Use these points o the find the slope.
0- 2 = -2
-2 -0 = -2
-2/-2 = 1 The slope is one so the equation will be y = 1x - 2 But since this is not an inequality we have to change the equal to sign to an inequality sign.
Looking at the line, it is a dashed line so the inequality sign will be > or <
The painted side of the graph represents the solutions of the graph and that is all underneath the graph so the inequality will be y < 1x-2
Answer:
Step-by-step explanation:
Given the equation
Sin(5x) = ½
5x = arcSin(½)
5x = 30°
Then,
The general formula for sin is
5θ = n180 + (-1)ⁿθ
Divide through by 5
θ = n•36 + (-1)ⁿ30/5
θ = 36n + (-1)ⁿ6
The range of the solution is
0<θ<2π I.e 0<θ<360
First solution
When n = 0
θ = 36n + (-1)ⁿθ
θ = 0×36 + (-1)^0×6
θ = 6°
When n = 1
θ = 36n + (-1)ⁿ6
θ = 36-6
θ = 30°
When n = 2
θ = 36n + (-1)ⁿ6
θ = 36×2 + 6
θ = 78°
When n =3
θ = 36n + (-1)ⁿ6
θ = 36×3 - 6
θ = 102°
When n=4
θ = 36n + (-1)ⁿ6
θ = 36×4 + 6
θ = 150
When n =5
θ = 36n + (-1)ⁿ6
θ = 36×5 - 6
θ = 174°
When n = 6
θ = 36n+ (-1)ⁿ6
θ = 36×6 + 6
θ = 222°
When n = 7
θ = 36n + (-1)ⁿ6
θ = 36×7 - 6
θ = 246°
When n =8
θ = 36n + (-1)ⁿ6
θ = 36×8 + 6
θ = 294°
When n =9
θ = 36n + (-1)ⁿ6
θ = 36×9 - 6
θ = 318°
When n =10
θ = 36n + (-1)ⁿ6
θ = 36×10 + 6
θ = 366°
When n = 10 is out of range of θ
Then, the solution is from n =0 to n=9
So the equation have 10 solutions in the range 0<θ<2π
Answer:
Answer is B
Step-by-step explanation:
3,550 x 0.0352 = 124.96 ounces
Brainliest please?
In order to find "r", you need to isolate it. So in order to isolate it, you do the inverse operation. In this case, it would be division because 0.3 is being multiplied by "r". So you divide by 0.3 on both sides to get 7.
11 miles in 1/4 hour
1/4 of an hour is 15 minutes
so 11 in 15 minutes
x /60 = 11/15
cross multiply
x*15 = 60 * 11
15x = 660
divide both sides by 15
x = 44
the unit rate of the hikers in miles per hour is 44 mph.
You can also solve like this
1/4 of hour is 15 minutes
to get to the whole hour you would multiply by four
so you'd (11miles in 1/4 hour) * 4
44 miles in 1 hour
Hope this helps :)
