Answer:
x = 1
Step-by-step explanation:
There are a couple of ways to solve this. One is to graph the left side of the equation, graph the right side of the equation, and look for the point where those graphs intersect. It is at x = 1. The first attached graph shows this solution.
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Another method for solving such an equation is to subtract one side from the other and look for the value of x that makes the resulting expression zero.
(-2x +3) -(-3(-x) -2) = 0
A graphing calculator doesn't need to have this simplified. If it is simplified, it becomes ...
-5x +5 = 0
So, the graphed line is y = -5x+5. Its x-intercept is x=1, the solution of the original equation. The graph of this is shown in the second attachment.
Answer:
Step-by-step explanation:
3) Sin30 = 11/x
x = 11/Sin30 = 11/0.5
x = 22
Tan 30 = 11/y
y = 11/tan30 = 11/0.5774
y = 19.1
4) Sin30 = 6/x
x = 6/Sin30 = 6/0.5
x = 12
Tan 30 = 6/y
y = 6/tan30 = 6/0.5774
y = 10.39
5) Sin45 = 9√2/y
y = 9√2/Sin45 = 9√2/(√2/2) =
9√2 × 2/√2 = 18
x = 18
Tan 45 = 9√2/x
x = 9√2/Tan 45 = 9√2/1
x = 9√2
6)
Sin60 = 9/x
x = 9/Sin60 = 9/0.866
x = 10.39
Tan 60 = 9/y/2 = 18/y
1.7321 = 18/y
y = 18/1.7321
y = 10.39
Answer:
-2 (filled in circle) to 7 (open circle)
Step-by-step explanation:
for the first equation x must be the equal to or smaller than 6. so -3(-2) equals 6 but anything less than -2, let's say -3(-3), will be BIGGER than six, so -2 including -2 which is a filled in circle.
solving it:
-3(x) 
6
for the second equation x must be smaller than 17. so first you take out + 3 by subtracting it, leaving the equation as 2x<14. 2(7)<14 is NOT true so anything bigger than 7 leaves it as true because 6.98934747483 can still make it true, so anything smaller than 7 which is 7 with a not filled in, or open, circle
solving it:
2x < 14
x < 7
my explanation is all over the place, but hope this helps!!!
