Answer:
k=20.
Explanation: First we find where f(x) has its local extrema: f'(x)=3x2−10x+3. The critical points are roots of the equation: 3x2−10x+3=0.
Range is the set of possible output values of a function. In this case, it’s (-9, -3, 0, 5, 7).
Answer:
f=
1
/4
y+
−1
/2
Step-by-step explanation:
Let's solve for f.
y=5x^0+4x−3
Step 1: Flip the equation.
4x+2=y
Step 2: Add -2 to both sides.
4x+2+−2=y+−2
4x=y−2
Step 3: Divide both sides by 4.
4x
/4
=
y−2
/4
x=
1
/4
y+
−1
/2
=f=
1
/4
y+
−1
/2
<h3><em><u>brainliest please?</u></em></h3>
Answer:
length = 60 foot, width = 30 foot
Step-by-step explanation:
Area of rectangular part, A = 1800 ft²
Cost of fencing three sides is $ 6 per foot and cost of one side fencing is $18 per foot.
Let the length of the rectangle is l and the width of the rectangle is W.
Area = Length x width
A = L x W
1800 = L x W ...... (1)
Total cost of fencing, C = 6 x ( L + W + L) + 18 x W
C = 6 (2L + W) + 18 W
C = 12 L + 24 W
Substitute the value of W from equation (1),
in equation (2)


Differentiate both sides with respect to L:

Put it equal to zero for maxima and minima

L = 60 foot
and W = 30 foot
So, the costing is minimum for length = 60 foot and the width = 30 foot.