Answer:
Step-by-step explanation:
From the given function,
f(x) = -3(x + 1)²+ 18
By comparing this equation with the standard equation of the quadratic function,
f(x) = a(x - h)² + k
Here, (h, k) is the vertex.
Part A
Vertex of the given equation → (-1, 18)
Part B
y-intercept → For the value of y at x = 0
y = -3(0 + 1)² + 18
y = -3 + 18
y = 15
y - intercept → (0, 15)
Part C
Since, the given function is opening downwards,
Function will have a maximum.
Part D
Coordinates of maximum point → (-1, 18)
Part E
Axis of symmetry → x = -1
Answer: B. rectangular pyramid
Answer:
x = 18
m∠HCB = 36
Step-by-step explanation:
The measure of angle FBC is 8x and the measure of angle HCB is 2x. If you add the measures of both angles it will equal to 180 degrees. This can be represented in an equation:
8x + 2x = 180
10x = 180
Divide both sides of the equation by 10 to isolate the x:
10x/10 = 180/10
x = 18
Now that we know the value of x, we can find the measure of angle HCB:
2x
2(18)
36
The measure of angle HCB is 36.
I hope this helps :)
Answer:
https://www.wesleyschool.org/uploaded/faculty/Mrs_Fernandes/simple_interest.pdf
Step-by-step explanation:
There is a whole answer sheet there
A) first expand: (2(x+2) - 3(x-1)) x (2(x+2) + 3(x-1))
then distribute: (2x+4-3x+3) x (2x+4+3x-3)
add same terms together and subtract numbers: (-x+7) x (5x-1)
final answer: (-x+7) x (5x+1)
b) same steps as before
I. (5(x-2) - 4(x+3)) x (5(x-2) + 4(x+3))
II. (5x-10-4x-12) x (5x-10+4x+12)
final answer: (x-22) x (9x+2)
