Answer: X=-7
Step-by-step explanation:
Using PEMDAS;
Step 1: Distribute the "3" in the part of the equation "3(x-2)"
3x - 6
Step 2: Consider the equation as a whole with the newly part of the equation from step 1, as it is a part of the equation
Therefore, re-written as,
3x - 6 + 48 = -3x
Step 3: Evaluate the re-written equation
Using basic mathematics skills, we can evaluate the following,
3x - 6 + 48 = -3x ➡ -6 + 48 = -6x ➡ 42 = -6x ➡ -7 = x
As shown, the answer is x=-7.
given :-
p(t) = 3t^2 - 5t - 7
g(t) = t - 5
=> t = 5
on putting values..
p(5) = 3(5)² + 5(5) - 7
= 3(25) + 25 - 7
= 75 - 18
= 57
hence, the remainder is 57.
D. 57 is the correct option
Answer:
3^(n+1) - 3^n / 3^(n-1) = 6
Answer:
The velocity function is .
The acceleration function is .
When t = 44, the velocity is .
When t = 44, the acceleration is .
Step-by-step explanation:
We know that the position function is given by
Velocity is defined as the rate of change of position or the rate of displacement. If you take the derivative of the position function you get the instantaneous velocity function.
Acceleration is defined as the rate of change of velocity. If you take the derivative of the instantaneous velocity function you get the instantaneous acceleration function.
The instantaneous velocity function is given by
The instantaneous acceleration function is given by
To find the velocity and acceleration when t = 44, we substitute this value into the velocity and acceleration functions
Hello,
The normal perpendicular to x-4y+2=4ln(3) or y=(x+2-4ln(3))/4
has as slope -4
So y'=(ln(2x+a))'=1/(2x+a) *2 if x=1 , y'=1/(2+a)
Thus
1/(2+a)=-4 ==>2+a=-1/4==>a=-1/4-2==>a=-9/4