Range is just input the domain
so find f(-2), f(0) and f(2)
f(-2)=-(-2)²+1=-4+1=-3
f(0)=-(0)²+1=0+1=1
f(2)=-(2)²+1=-4+1=-3
range={-3,1}
Answer:
The answer to your question is the third choice secФ = 41/40
Step-by-step explanation:
Data
Opposite side = 9
Adjacent side = 40
hypotenuse = 41
Process
To solve this problem use trigonometric functions. The secant is the trigonometric function that relates the hypotenuse and the adjacent side.
sec Ф = hypotenuse / adjacent side
hypotenuse = 41
adjacent side = 40
then,
secФ = 41/40
Answer:
4 1/4
Step-by-step explanation:
BRAINLIEST?!
Answer:
x = 8,49 ft
y = 4,24 ft
Step-by-step explanation:
Let x be the longer side of rectangle and y the shorter
Area of rectangle = 36 ft² 36 = x* y ⇒ y =36/x
Perimeter of rectangle:
P = 2x + 2y for convinience we will write it as P = ( 2x + y ) + y
C(x,y) = 1 * ( 2x + y ) + 3* y
The cost equation as function of x is:
C(x) = 2x + 36/x + 108/x
C(x) = 2x + 144/x
Taking derivatives on both sides of the equation
C´(x) = 2 - 144/x²
C´(x) = 0 2 - 144/x² = 0 ⇒ 2x² -144 = 0 ⇒ x² = 72
x = 8,49 ft y = 36/8.49 y = 4,24 ft
How can we be sure that value will give us a minimun
We get second derivative
C´(x) = 2 - 144/x² ⇒C´´(x) = 2x (144)/ x⁴
so C´´(x) > 0
condition for a minimum
Area = 140
16 x 8 = 128
16-12 = 4
(6x4)/2 = 12
128 + 12= 140
