Answer:
The equation that represents the total distance travelled by numbers of times he goes to work by Michael is y = 4*x
Step-by-step explanation:
Since Michael has to travel 4 km each time he goes to work if he goes to work 2 times he'll have to travel 8 km, if he goes 3 times he'll have to travel 12 km. If we keep doing this we'll realize that the distance travelled by Michael is given by the number of times he goes to work multiplied by 4. The equation that represents that is:
y = 4*x
Answer:
Step-by-step explanation:
From the question we are told that
Angle 
Height of plane 
Generally the equation for the total distance flown is mathematically given by
Therefore total distance flown is
Factor out the common term 2
2(2x + y) = -2
Divide both sides by 2
2x + y = -1
Subtract 2x from both sides
<u>y = -1 - 2x</u>
1) Given dy / dx = x^2 + 4 = y is the function whose derivative is x^2 + 4.
2) y = x^3 / 3 + 4x + constant
Prove d y / dx = 3x^2 / 3 + 4 + 0 = x^2 + 4
Answer: x^3 / 3 + 4x + C
Answer:
x = 3
Step-by-step explanation:
Solve for x:
3 (3 - 3 x) = 2 (x + 3) - 30
2 (x + 3) = 2 x + 6:
3 (3 - 3 x) = 2 x + 6 - 30
Grouping like terms, 2 x - 30 + 6 = 2 x + (6 - 30):
3 (3 - 3 x) = 2 x + (6 - 30)
6 - 30 = -24:
3 (3 - 3 x) = 2 x + -24
Expand out terms of the left hand side:
9 - 9 x = 2 x - 24
Subtract 2 x from both sides:
9 + (-9 x - 2 x) = (2 x - 2 x) - 24
-9 x - 2 x = -11 x:
-11 x + 9 = (2 x - 2 x) - 24
2 x - 2 x = 0:
9 - 11 x = -24
Subtract 9 from both sides:
(9 - 9) - 11 x = -9 - 24
9 - 9 = 0:
-11 x = -9 - 24
-9 - 24 = -33:
-11 x = -33
Divide both sides of -11 x = -33 by -11:
(-11 x)/(-11) = (-33)/(-11)
(-11)/(-11) = 1:
x = (-33)/(-11)
The gcd of -33 and -11 is -11, so (-33)/(-11) = (-11×3)/(-11×1) = (-11)/(-11)×3 = 3:
Answer: x = 3
