Answer:
x = 1/5 or x=0.2
Step-by-step explanation:
isolate the variable by dividing each side by factors that dont contain the variable.
first speed --- x mph
return speed -- x+16 mph
6/x + 6/(x+16) = 1
times each term by x(x+16)
6(x+16) + 6x = x(x+16)
x^2 + 4x - 96 = 0
(x-8)(x+12) = 0
x = 8 or x is a negative
her first speed was 8 mph
her return speed was 24 mph
check:
6/8 + 6/24 = 1 , that's good!
Remember that the total of the angles always equals 180 degrees
4x + 2 + 8 + 6x + 30 = 180
Now solve
4x + 2 - 2 + 8 + 6x + 30 = 180 - 2
4x + 8 - 8 + 6x + 30 = 178 - 8
4x + 6x + 30 - 30 = 170 - 30
4x + 6x = 140
10x = 140
10x ÷ 10 = 140 ÷ 10
x = 14
Now that we know what x is we can fill in the blanks
4(14) + 2
58 + 2
58
Angle O is 58 degrees
8 + 6(14)
8 + 84
92
Angle R is 92 degrees
To check we can add them all up
30 + 58 + 92 = 180
x = 14
Answer:
1
Step-by-step explanation:
14 - 2 x 7
15 - 3 x 5
GCF of 14 and 15: 1
Domain: f (x) is the set of all values for which the function is defined
range: the set of all values that f takes
hope this helps
