Answer:
Step-by-step explanation:
First you need to get like items on the same side(put the variables on one side and the non-variables on the other). Remember anything you do on one side of the equal, you have to do on the other side, too.
5X+3=7X-1 I'm going to move the -1 first, but you don't have to as long as you keep the equation equal.
5X+3+1=7X-1+1 We know that +1-1 is zero and so is -1+1. So
5X+3+1=7X We don't need to keep that zero.
5X+4=7X Now, we want to move the 5X over.
5X-5X+4=7X-5X Simplify and get rid of the zero.
4=2X Last, we have to divide to get the 2 away from the X.
4/2=2X/2 Not everyone know that slash mean divide, :-).
2=X
Answer:
t < 10.2
Step-by-step explanation:
Step 1: Add 6.2 to both sides.
Therefore, the answer is t < 10.2.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Answer:
About 113,097.34 units
Step-by-step explanation:
The volume of a sphere can be found with the equation V =
πr³ when r is the radius.
V =
πr³
V =
π(30)³
V ≈ 113,097.34 units
Answer:
a)
, b)
,
, c)
, d) 
Step-by-step explanation:
a) Let derive the function:

is undefined when denominator equates to zero. The critical point is:

b)
when numerator equates to zero. That is:




This equation shows two critical points:
, 
c) The critical points found in point b) and the existence of a discontinuity in point a) lead to the conclusion of the existence local minima and maxima. By plotting the function, it is evident that
corresponds to a local maximum. (See Attachment)
d) By plotting the function, it is evident that
corresponds to a local minimum. (See Attachment)
Answer:
22 miles per hour
Step-by-step explanation:
we know that
The speed is the ratio of distance by the time
Let
d -----> distance in feet
t ----> time in seconds
s ----> the speed in ft/sec

we have

substitute


Remember that


Convert ft/sec to mi/h
