x = 
multiply all terms on both sides of the equation by the lowest common multiple of 3 and 8, that is 24
24 × 
= 24 × 
+ 2 × 24
16x = 3(x - 1) + 48
16x = 3x - 3 + 48
16x = 3x + 45
subtract 3x from both sides
16x - 3x = 45
13x = 45
divide both sides by 13
x =
Answer:
9. 9&16
10. 31&45
Step-by-step explanation:
9. L-W=7
2L+2W=50 (system of equations)
L=W+7
2L=-2W+50
L=-W+25
-W+25=W+7
-2W=-18
W=9
L=16
10. x=larger number y=smaller number
x+y=76
x=y+14
x=-y+76
y+14=-y+76
2y=62
y=31
x=45
Answer: b
Step-by-step explanation:
Answer:
The answer is below
Step-by-step explanation:
Given the function as:
f(x)=5sin(πx / 15)+180,
a) The angular frequency (ω) = 2π * frequency
but ω = π/15, hence:
π/15 = 2π * frequency
frequency = (π/15)/2π
frequency = 1/30 hertz
Period (T) = 1/frequency = 1/(1/30) = 30 seconds
b) The period is 30 seconds. This means that it reaches the maximum temperature every 30 seconds.
In one hour (3600 s), the number of times the function reaches a maximum temperature = 3600 s / 30 s = 120
5x - 9 = -30
"Nine less than" means - 9
"Five times a number" means 5*unknown number = 5x
