1/2 = 8/16 . . . so there are (<u><em>8</em></u>) - 1/16 pounds servings of chocolate in a 1/2 pound chocolate bar
Answer:
-1.25
Step-by-step explanation:
Your points one the graph are (-4,4) and (0,-1)
Formula for slope is y1-y2/x1-x2
4--1/-4-0
5/-4
-1.25
Answer:
y = 4x - 1
Step-by-step explanation:
y = mx + b, m is the slope, b is the y intercept or -1
Answer: Choice D
==========================================================
Explanation:
Let g(t) be the antiderivative of 
. We don't need to find out what g(t) is exactly.
Recall by the fundamental theorem of calculus, we can say the following:
This theorem ties together the concepts of integrals and derivatives to show that they are basically inverse operations (more or less).
So,
From here, we apply the derivative with respect to x to both sides. Note that the 
portion is a constant, so 
![\displaystyle F(x) = g(x^2) - g(\pi)\\\\ \displaystyle F \ '(x) = \frac{d}{dx}[g(x^2)-g(\pi)]\\\\\displaystyle F\ '(x) = \frac{d}{dx}[g(x^2)] - \frac{d}{dx}[g(\pi)]\\\\ \displaystyle F\ '(x) = \frac{d}{dx}[x^2]*g'(x^2) - g'(\pi) \ \text{ .... chain rule}\\\\](https://tex.z-dn.net/?f=%5Cdisplaystyle%20F%28x%29%20%3D%20g%28x%5E2%29%20-%20g%28%5Cpi%29%5C%5C%5C%5C%20%5Cdisplaystyle%20F%20%5C%20%27%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bg%28x%5E2%29-g%28%5Cpi%29%5D%5C%5C%5C%5C%5Cdisplaystyle%20F%5C%20%27%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bg%28x%5E2%29%5D%20-%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bg%28%5Cpi%29%5D%5C%5C%5C%5C%20%5Cdisplaystyle%20F%5C%20%27%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bx%5E2%5D%2Ag%27%28x%5E2%29%20-%20g%27%28%5Cpi%29%20%5C%20%5Ctext%7B%20....%20chain%20rule%7D%5C%5C%5C%5C)
Answer is choice D
(b). → Simplify: [{5^(x-+1) + 5^x}/{6×5^x}]
= [{5^(x+1+x)}/{6×5^x}]
= [{5^(2x+1)}/{6×5^x}]
= [{5^(2x+1)}/{6×5^x}]
= [{5^(2x+1-x)}/6]
= [{5^(x+1)}/6]Ans.
(c). 4a³b²
= 4(3)³(-2)²
Since, a = 3 and b = -2.
so,
= 4(3*3*3)(-2*-2)
= 4(27)(4)
= 108(4)
= 432Ans.
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