Answer:
Calculus is the branch of mathematics studying the rate of change of quantities (which can be interpreted as slopes of curves) and the length, area, and volume of objects. The chain rule is a formula for the derivative of the composition of two functions in terms of their derivatives.
Answer:
Step-by-step explanation:
3tasks=7/10 hours
1 task=7/(10×3)
1 task=7/30 hours
Hence a robot takes 7/30 hours to complete one task
Answer:
the answer is d. 4x²+x-6
Step-by-step explanation:
In order to combine the fractions, they need to have the same denominator.
So, multiply each of their numerators by the denominator they need to be equivalent.
This would look like this:
3x/x+3 --> 3x(x)/x(x+3) ---simplify this as--> 3x²/x(x+3)
x-2/x --> (x-2)(x+3)/x(x+3) ---simplify this as --> x²+x - 6/x(x+3)
3x 3x(x) x-2 (x-2)(x+3)
----- ---> ----- and -------- ---> ---------
x+3 x(x+3) x x(x+3)
now that both fractions have the same denominator, we can add their numerators.
3x² + x²+x-6 = 4x²+x -6
This should now look like this:
4x²+x -6
-------------
x(x+3)
Answer:
r = 2
Step-by-step explanation:
2(8r + 5) = 24 + 9r
16r + 10 = 24 + 9r
16r - 9r = 24 - 10
7r = 14
r = 2
Consider number 17. You know that
17=9+8.
Then for negative numbers you have the same rule (with respect to sign -):
-17=(-9)+(-8).
Since (-9)+9=9+(-9)=9-9=0, you have that
-17+9=(-9)+(-8)+9=(-9+9)+(-8)=0+(-8)=-8.
Answer: -17=(-9)+(-8).