Answer:
2a +b
Step-by-step explanation:
The rule for logarithms is ...
log(xy) = log(x) +log(y)
__
Applying this to the given problem, we have ...
log(12) = log(2×2×3)
= log(2) +log(2) +log(3)
= a + a + b
= 2a +b
Answer:
= 2 4/15 km
Step-by-step explanation:
Speed = 3 2/5 km/hour
The units are not the same. The speeds is in hours and the time is in minutes
Lets convert minutes to hours. 60 minutes = 1 hour
40 minutes * 1 hour/ 60 minutes = 40/60 hours = 2/3 hour
Distance = speed * time
= 3 2/5 * 2/3
Change the mixed number to an improper fraction
3 2/5 = (5*3+2)/5 = 17/5
= 17/5 * 2/3
= 34/ 15 km
Change this back to a mixed number
15 goes into 34 2 times (15*2 = 30) with 4 left over
= 2 4/15 km
Answer:
running 1.5 hours
Walking 4.5 hours
Step-by-step explanation:
Let the amount of time she spends on walking be x
d/3 + d/9 = 6 Multiply by 9
3d + d = 6*9
4d = 54 Divide by 4
4d/4 = 54/4
d = 13 2/4 = 13 1/2 = 13.5 miles
d/3 = 13.5/3 = 4.5 hours
d/9 = 13.5/<u>9 = 1.5 hours</u>
Total 6 hours
I hope this is the right interpretation.
Answer:
67.5
Step-by-step explanation:
b times h
7.5 times 9
Answer:
f(x) = 1/4x +2
Step-by-step explanation:
The y-intercept formula is y = mx + b. b is the y-intercept. The line crosses the y-axis at 2, so the y-intercept is 2. m is the slope and it is rise/run (rise over run). It rises (from the y-axis) once and runs 4 times. Therefore, the slope is 1/4. The equation is f(x) = 1/4x +2.
