D I believe I hope this helps :)
1. Find the slope using the slope formula.
2. Plug that slope and either point into an equation in slope-intercept form and solve for b.
3. Now write your answer as a slope-intercept form equation
Answer and Step-by-step explanation:
Let x and y be two positive integers and their sum is 14:
X + y = 14
And the sum of square of this number is:
f = x2 + y2
= x2+ (14 – x)2
Differentiate with respect to x, we get:
F’(x) = [ x2 + (14 – x)2]’ = 0
2x + 2(14-x)(-1) = 0
2x +( 28 – 2x)(-1) = 0
2x – 28 +2x = 0
2x + 2x = 28
4x = 28
X = 7
Hence, y = 14 – x = 14 -7 = 7
Now taking second derivative test:
F”(x) > 0
For x = y = 7,f reaches its maximum value:
(7)2 + (7)2 = 49 + 49
= 98
F at endpoints x Є [ 0, 14]
F(0) = 02 + (14 – 0)2
= 196
F(14) = (14)2 + (14 – 14)2
= 196
Hence the sum of squares of these numbers is minimum when x = y = 7
And maximum when numbers are 0 and 14.
Answer: yes
Step-by-step explanation:
Each loaf uses 34 cups
1 loaf 114-34= 80 cups left
2nd loaf 80-34= 46 cups left
6 grams of tea: 24 fluid ounce of tea
? grams of tea: 288 fluid ounces
288×6÷24=72 grams of tea is your final answer. Hope it help!
