Answer: x < -5 1/2 or x < -11/2
Step-by-step explanation:
2 ( 4x + 1 ) < 3 ( 2x - 3 )
8x + 2 < 6x - 9
8x - 6x < -9 -2
2x < -11
x < -11/2
x < -5 1/2
Answer:
x=6
Step-by-step explanation:
First, add 1 on both sides
4x + 5 = 5x -1
+1 +1
4x+6 =5x
Then, subtract 4x on both sides
4x+6 =5x
-4x -4x
6=x
So, x equals 6
Hope this helps! :)
Answer:
x = 48
Step-by-step explanation:
14^2 + b^2 = 50^2
196 + b^2 = 2500
-196 -196
b^2 = 2304
√b^2 = √2304
b = 48
Answer: f(120°) = (√3) + 1/2
Step-by-step explanation:
i will solve it with notable relations, because using a calculator is cutting steps.
f(120°) = 2*sin(120°) + cos(120°)
=2*sin(90° + 30°) + cos(90° + 30°)
here we can use the relations
cos(a + b) = cos(a)*cos(b) - sin(a)*sin(b)
sin(a + b) = cos(a)*sin(b) + cos(b)*sin(a)
then we have
f(120°) = 2*( cos(90°)*sin(30°) + cos(30°)*sin(90°)) + cos(90°)*cos(30°) - sin(90°)*sin(30°)
and
cos(90°) = 0
sin(90°) = 1
cos(30°) = (√3)/2
sin(30°) = 1/2
We replace those values in the equation and get:
f(120°) = 2*( 0 + (√3)/2) + 0 + 1/2 = (√3) + 1/2
Answer:
T(m) = (140 - 5m)
Step-by-step explanation:
Given that :
Initial temperature, a = 140 F
Rate of decrease = 5 F per minute
Given a certain Number of minutes, m
Temperature, T after m minutes ;
Using the formula :
Final temperature = Initial temperature - 5*number of minutes)
T(m) = (140 - 5m)
Given that ; m = 10
T(10) = 140 - 5(10)
T(10) = 140 - 50
T(10) = 90 F
