Answer:
b = 1
Step-by-step explanation:
Given the equation is:
- 5b + 2b - (-b) + 7 = 5
We separate the terms of b and the constants. To do that we subtract 7 from both the sides. We get:
- 5b + 2b - (-b) + 7 - 7 = 5 - 7
⇒ - 5b + 2b - (-b) = - 2
Now, simplifying the terms with 'b'.
⇒ -5b + 2b + b = - 2
⇒ (-5 + 2 + 1)b = - 2
⇒ -2b = -2
Dividing both the sides by -2, we get:
b = 1 which is the required answer.
Answer: The following three equations could be used to determine the rate:
x*(time there) = 3 miles
(x+1)*(time back) = 3 miles
(time there) + (time back) = 2.5 hr
Step by step (including the actual solution x):
Equation for the trip there:
x*(time there) = 3 miles
Equation for the trip back:
(x+1)*(time back) = 3 miles
And we also know that:
(time there) + (time back) = 2.5 hr
So we have three equations with three unknowns and can solve for x. Let us call
(time there): t1
(time back): t2
The solution (I skipped the gory details of solving, but you can verify by plugging the values back into the equations) is
Rate x = 2 miles/hour
(time there) = 1.5 hours
(time back) = 1 hour
Answer:
Step-by-step explanation:
think its c
For this problem, let's first apply the intergral sum rule.
Then, we'll use the reverse power rule on each of these integrals.
So the indefinite integral of is .
Remember that we need our constant of integration, , because of if we take the derivative of a constant, it'll be 0.
Hope this helps!