To solve this problem, we first must rewrite each term in the form k times a^n so that we can compute the multiplication afterwards. To do this, we must remember that the square root of a is equivalent to a^(1/2) and that variables in the denominator have negative exponents. Using this knowledge, we can rewrite the given expression as:
a^(1/2) * (2a² - 4a^(-1))
Now, we must recall that when terms with the same base are multiplied together, we must add the exponents when simplifying. This step is shown below.
2a^(1/2 + 2) - 4a^(1/2 - 1)
The next step is to perform the addition of the exponents and obtain our final answer.
2a^(5/2) - 4a^(-1/2)
The above expression is your final answer.
Hope this helps!
Answer:4A^2+9B^2
Step-by-step explanation:
Answer:
If she drives the car 150 miles, option A costs more. It'll cost $30 more.
The options cost the same if she drives 75 miles. If she drives less than 75 miles, option A costs less.
Answer:
y= (3/2)x-3
Step-by-step explanation:
We need two points to find the equation of a line. Let's take (2,0) and (4, 3).
In the equation y=mx+b, m represents the slope. To find the slope, we can calculate the change in y/change in x. For (2,0) and (4,3), the change in y is 3-0=3 and the change in x is 4-2=2. Therefore, our slope is 3/2.
Then, in the equation y=mx+b, we can plug 3/2 in for m to get y = (3/2)x+b. To find b, we can plug one point in, such as (2.0), to get 0=(3/2)(2) + b, 0=3+b, and b=-3, making our equation
y= (3/2)x-3
Answer:
t = -d/50 + 2
0.5 hour
Step-by-step explanation:
Given the equation:
d = 50 - 100t
The inverse function:
A.) solving for t
d = 100 - 50t
d - 100 = - 50t
Divide both sides by - 50
d/-50 - (100/-50) = - 50t/-50
-d/50 - (-2) = t
t = -d/50 + 2
B) using the inverse function:
t = -d/50 + 2
Miles driven (d) = 75, find time (t)
t = - 75/50 + 2
t = - 1.5 + 2
t = 0.5
t is in hours, therefore time left to travel is 0.5 hours or 30 minutes
