Answer:
17250
Step-by-step explanation:
Calculating
the value of f(x) for the given interval.
For x = -
4, f(x) = f(- 4) = (- 4)^2 + 2 (- 4) + 3 = 11
For x =
6, f(x) = f(6) = (6)^2 + 2 (6) + 3 = 51
Now using
formula for the calculation of average rate of change of f(x) over the given
interval of [- 4, 6];
(f(b) –
f(a)) / b – a = (f(6) – f(- 4)) / 6 – (- 4) = (51 -11) / 10 = 4
<span>So option “E” is
correct.</span>
Answer:
x=23
Step-by-step explanation:
STEP 1. To find x-intercept/zero, substitute y=0.
0= 6x2+x-35
STEP 2. Calculate the difference.
0=-23+x
STEP 3. Move the variable to the left- hand side and change its sign.
-x=-23
STEP 4. Change the signs on both sides of the equation.
x=23
Answer:
-3x^2+12x
Step-by-step explanation:
Answer:
See Explanation and Attachment
Step-by-step explanation:
Your question is incomplete as the diagram of the polygon is not attached.
However, I'll give a general guide to calculate the area of a regular polygon.
If you apply these steps, you'll be able to solve your question.
The area of a regular polygon is calculated this.
Area = ½ap
Where a represents the apothem of the polygon and p represents the perimeter of the polygon.
The term "apothem" means the distance between the centre of the polygon and the base of the polygon.
Take for instance, the attachment below.
The polygon is a regular hexagon (it has 6 sides)
The apothem, a = 8.2 ft
The perimeter, p = The sum of all sides of the hexagon
p = (7.6 + 7.6 + 7.6 + 7.6 + 7.6 + 7.6)ft
p = 45.6 ft
Hence, the area of the polygon
A = ½ap becomes
A = ½ * 8.2 * 45.6
A = ½ * 373.92
A = 186.96ft²