Answer:
x = 5/2
Step-by-step explanation:
2^x+4 = 2^3x-1
x + 4 = 3x - 1
3x - x = 4 + 1
2x = 5
x = 5/2
They will see each other every 30 days but won't every 15 days
Answer:
Y= 42
Step-by-step explanation:
The answer would be 42 because if x=9 and the equation is 5x you have to multiply and that will give you 45 and then subtract 3 which would give you 42
Answer: c(p) = 0.59*p
All we do is multiply the price per pound (0.59) by the number of pounds (p). In this case, we don't know how many pounds there are. So we leave p as is. If for instance, we had 10 pounds, then we'd replace p with 10. The variable is simply a placeholder for the unknown number.
Answer:
We have the function:
r = -3 + 4*cos(θ)
And we want to find the value of θ where we have the maximum value of r.
For this, we can see that the cosine function has a positive coeficient, so when the cosine function has a maximum, also does the value of r.
We know that the meaximum value of the cosine is 1, and it happens when:
θ = 2n*pi, for any integer value of n.
Then the answer is θ = 2n*pi, in this point we have:
r = -3 + 4*cos (2n*pi) = -3 + 4 = 1
The maximum value of r is 7
(while you may have a biger, in magnitude, value for r if you select the negative solutions for the cosine, you need to remember that the radius must be always a positive number)
