9514 1404 393
Answer:
x ∈ (-∞, 9) U (-1, ∞)
Step-by-step explanation:
Get the absolute value by itself. Do that by multiplying by 4.
|3x +15| > 12
This resolves to two cases:
<u>3x +15 > 12</u>
x +5 > 4 . . . . divide by 3
x > -1 . . . . . . .subtract 5
<u>-(3x +15) > 12</u>
x +5 < -4 . . . . divide by -3
x < -9 . . . . . . . subtract 5
Then the solution in interval notation is ...
x ∈ (-∞, 9) U (-1, ∞)
Answer:
m<1: 51
m<2: 61
m<3: 29
Step-by-step explanation:
m<1 = 51, because to find the 3rd angle, you need to add the other two angles and then subtract 180 from that answer.
61 + 68 = 129
180 - 129 = 51
m<2 = 61, because it's a vertical angle, meaning that the angle that's opposite to it exactly, is the same. So since the angle opposite to m<2 is 61, that's what the answer would be.
m<3 = 29, because all you need to do is add 90 and 61, and then subtract 180 by the answer. I got 90 as one of the angle measurements because there's a right triangle, meaning it's 90. Then since we already know what angle 2 is (61) then all you need to do is add:
90 + 61 = 151
Then subtract:
180 - 151 = 29
Answer:
a = 50t
Step-by-step explanation:
The graph goes through (0,0) so the y intercept is 0
a=5t
a=50t
a=50 + t not it
a=10t
The slope is y/x since the y intercept is 0
m = 50/1 = 50
The equation for the line is
y = 50x+0
y = 50x
Using the variables given
a = 50t
The problem seems confusing is it supposed to say y=?