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:
The correct answers are:
0.95g
g - 0.05g
(1 - 0.05)g
Step-by-step explanation:
Amount of last week's rain = g inches
this week = 5% decrease on last week's amount
5% of last week's amount = 5/100 × g = 0.05g
∴ This week's amount of rain = 0.05g decrease
∴ Amount of rain this week = (Amount of rain last week) - 0.05g
∴ Amount of rain this week = g - 0.05g
This can be simplified by factorizing the common term "g"
g - 0.05g = g(1 - 0.05) = 0.95g
Let a and c represent, respectively, the price of an adult and a child ticket. We know that
Multiply the first equation by 3 and the second equation by 2 to get
Subtract the two equations to have
Plug this value in the first equation to get
Hello :
3x3 – 11x2 – 26x + 30 divided by x – 5 is :<span>3x2 + 4x – 6
because :
(x-5)(3x²+4x-6)=3x^3+4x²-6x-15x²-20x+30 =</span>3x3 – 11x2 – 26x + 30
The answer is <span>Slope = 0.750/2.000 = 0.375
x-intercept = 16/3 = 5.33333<span>
y-intercept = 16/-8 = 2/-1 = -2.00000 hope this helps</span></span>
