Answer:
the vertex is at (2, 8) and the axis of symmetry is x = 2
Step-by-step explanation:
In h(x)=−2x2+8x please use the symbol " ^ " to indicate exponentiation:
h(x)=−2x^2+8x
This is a quadratic equation with coefficients a = -2, b = 8 and c = 0.
The axis of symmetry equation is x = -b/ (2a).
-8
Here, with a = -2 and b = 8, the axis of symmetry is x = --------- = 2
2(-2)
To find the y-coordinate of the vertex, substitute 2 for x in h(x)=−2x^2+8x, obtaining
h(2) = -2(2)^2 + 8(2) = -2(4) + 16 = 8
In summary, the vertex is at (2, 8) and the axis of symmetry is x = 2.
56 different sub-committees are possible
Step-by-step explanation:
When the selection has to be made without order, combinations are used.
The formula for combination is:
Here,
Total members = n = 8
Members to be selected = r = 5
So,
Hence,
56 different sub-committees are possible
Keywords: Combinations, Selection
Learn more about combinations at:
#LearnwithBrainly
Answer: C, 420
Step-by-step explanation:
The first positive even numbers are from 2 to 40, so the sum is equal to the number of terms, times the number of terms plus one (20*21 = 420)
the sum is 420
Answer:
n=65th term
Step-by-step explanation:
AP:3,15,27,39......
From the AP
a=3
a+d=15
a+2d=27
3+d=15 (1)
3+2d=27 (2)
Subtract (1) from (2)
We have,
2d-d=27-15
d=12
54th term=a+(n-1)d
=3+(54-1)12
=3+(53)12
=3+636
=639
The term is 132 more than the 54th term
132+54th term
=132+639
=771
Find the term
771=a+(n-1)d
771=3+(n-1)12
771-3=12n-12
768=12n-12
768+12=12n
780=12n
n=780/12
=65
n=12
The term which is 132 more than the 54th term is the 65th term
Answer:
Area of one piece of pizza ≈ 12.83 inches
Step-by-step explanation:
First of all let's calculate the area of the pizza.
Pizza is circular in shape, thus,
Area; A = πr²
We are given the radius;r = 7 inches
So, A = π(7²) = 153.94 in²
Now, since the area is divided into 12 equal sized pieces, thus we will divide the total area we got by 12 to get the area of one piece.
Area of one piece of pizza = 153.94/12 ≈ 12.83 inches
