Answer:
Average speed of the particle is 13 miles per hour.
Step-by-step explanation:
From the given question expression for distance traveled by the particle is

Then fro the time interval (1, 4) we have to calculate the average speed.
At t=1, s=2(1)²+3(1) =2+3 =5 miles
And at t = 4 s=2(4)²+3(4) = 2(16)+12 = 32+12 =44 miles
So displacement of the particle in the time span from 1 to hours.
s = (44-5) = 39 miles
And the times taken = (4-1) =3 hours
From the formula speed = displacement/(time taken for displacement)
V = 39/3 = 13 miles/hour
You haven't provided the expression or the choices, therefore, I cannot provide an exact answer.
However, I'll try to help you understand the concept so that you can solve the question you have
Like radicals are characterized by the following:1- They both have the same root number (square root, cubic root , ...etc)
2- They both have the same radicand (meaning that the expression under the root is the same in both radicals)
Examples of like radicals:3

and 7

![\sqrt[5]{x^2y}](https://tex.z-dn.net/?f=%20%5Csqrt%5B5%5D%7Bx%5E2y%7D%20)
and 3
![\sqrt[5]{x^2y}](https://tex.z-dn.net/?f=%20%5Csqrt%5B5%5D%7Bx%5E2y%7D%20)
Check the choices you have. The one that satisfies the above two conditions would be your correct choice
Hope this helps :)
Answer:
15
Step-by-step explanation:
She is currently 15. 45 years from now she will be 60. 60 is 4 times her current age. So right now, she is 15
Answer:
D)
y > x + 4
y ≥ -3x - 2
Step-by-step explanation:
Blue line's boundary is above the line and dotted (>) so the equation: y > x + 4
Red line's boundary is above the line and solid (≥) so the equation: y ≥ -3x - 2
Answer
D)
y > x + 4
y ≥ -3x - 2