Let the distance to his office be x, then
On monday, speed = x/20 miles per minutes = 3x miles per hour
On tuesday, speed = (3x + 15) miles per hour
Time = distance / speed
(20 - 6)/60 hours = x/(3x + 15) hours
7/30 = x/(3x + 15)
7(3x + 15) = 30x
21x + 105 = 30x
30x - 21x = 105
9x = 105
x = 105/9 = 11.7 miles
Therfore he travels an average of 11.7 miles to work.
Answer:
To find a power of a product, find the power of each factor and then multiply. In general, (ab)m=am⋅bm. am⋅bm=(ab)m. In other words, you can keep the exponent the same and multiply the bases.
Step-by-step explanation:
We use the power of a product rule when there are more than one variables being multiplied together and raised to a power. The power of a product rule tells us that we can simplify a power of a power by multiplying the exponents and keeping the same base.
If the function is: f(x) = 4^x - 8
D = {XeR}
R = {YeR|Y≥0}
if the function is: <span>f(x)=4^(x-8)
</span>D = {XeR}
R = {YeR|Y≥ -8}
Answer:
Step-by-step explanation:
We start with the equation 
. First, we multiply both sides by 
.
Next, we divide both sides by 
to get our answer:
The answer is -4. Do you need to know why?
