Answer:
68
Step-by-step explanation:
1) 40+7=47
2) 47+7=54
3) 54+7=61
4) 61+7=68
First of all, when I do all the math on this, I get the coordinates for the max point to be (1/3, 14/27). But anyway, we need to find the derivative to see where those values fall in a table of intervals where the function is increasing or decreasing. The first derivative of the function is

. Set the derivative equal to 0 and factor to find the critical numbers.

, so x = -3 and x = 1/3. We set up a table of intervals using those critical numbers, test a value within each interval, and the resulting sign, positive or negative, tells us where the function is increasing or decreasing. From there we will look at our points to determine which fall into the "decreasing" category. Our intervals will be -∞<x<-3, -3<x<1/3, 1/3<x<∞. In the first interval test -4. f'(-4)=-13; therefore, the function is decreasing on this interval. In the second interval test 0. f'(0)=3; therefore, the function is increasing on this interval. In the third interval test 1. f'(1)=-8; therefore, the function is decreasing on this interval. In order to determine where our points in question fall, look to the x value. The ones that fall into the "decreasing" category are (2, -18), (1, -2), and (-4, -12). The point (-3, -18) is already a min value.
Answer:
21.424
Step-by-step explanation:
22.1 - 0.676 = 21.424
im not sure if it is correct but i think its like this
Answer:
7.1
Step-by-step explanation:
write pythagorean theorem
+
= 
2
= 100
divide 2 both side:
= 50
= 
= 
= 7.07106781
round to nearest tenth:
= 7.1
Answer:
It would require 40 teaspoons
Step-by-step explanation:
Given that;
A cookie recipe requires 3 teaspoons of baking soda for 36 cookies
The amount of teaspoons of baking soda required per cookie is;
r = 3/36 teaspoons per cookie
So, for 480 cookies i would require;
N = r × 480 cookies
Substituting r, we have;
N = 3/36 teaspoons per cookie × 480 cookies
N = 40 teaspoons
It would require 40 teaspoons