Answer:
x=0
Step-by-step explanation:
2(x+4)- 5 = 3x+3
Distribute
2x+8-5 = 3x+3
Subtract x values
8-5 = x+3
3 = x+3
Final Subtraction
x = 0
Answer:
p = 4
Step-by-step explanation:
Given equation:

<u>Standard equation of a circle:</u>

(where
is the centre of the circle, and
is the radius)
If you expand this equation, you will see that the coefficient of
is always one.
Therefore, 

<u>Additional information</u>
To rewrite the given equation in the standard form:





So this is a circle with centre (2, -3) and radius √29
If the degree of numerator and denominator are equal, then limit will be leading coefficient of numerator divided by the
leading coefficient of denominator.
So then the limit would be 3/1 =
3.
Alternatively,

Hope this helps.
Answer:
Step-by-step explanation:
We are given the position function and need to find the value of t when h<17.
Create an inequality that represents this situation:
The "less than" sign makes this very specifically a conjunction problem as opposed to a disjunction. That's important to the solution. But we'll get there.
The simplest way to solve this is to subtract 81 from both sides:
then divide both sides by -16:
Notice now that the sign is facing the other way since we had to divide by a negative number. Now it's a disjunction. The solution set to this inequality is that t>2 or t<-2. First and foremost, time will never be negative, so we can disregard the -2. Even if that was t<2, the more time that goes by, the greater the time interval is, not the lesser. It's the "<" that doesn't make sense, not only the -2. The solution to this inequality is
t > 2 sec. That means that after 2 seconds, the height of the ball is less than 17 feet.