Answers:
- Vertex form: y = -2(x-1)^2 + 8
- Standard form: y = -2x^2 + 4x + 6
Pick whichever form you prefer.
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Explanation:
The vertex is the highest point in this case, which is located at (1,8).
In general, the vertex is (h,k). So we have h = 1 and k = 8.
One root of this parabola is (-1,0). So we'll plug x = -1 and y = 0 in as well. As an alternative, you can go for (x,y) = (3,0) instead.
Plug those four values mentioned into the equation below. Solve for 'a'.
y = a(x-h)^2 + k
0 = a(-1-1)^2+8
0 = a(-2)^2+8
0 = 4a+8
4a+8 = 0
4a = -8
a = -8/4
a = -2
The vertex form of this parabola is y = -2(x-1)^2+8
Expanding that out gets us the following
y = -2(x-1)^2+8
y = -2(x^2-2x+1)+8
y = -2x^2+4x-2+8
y = -2x^2+4x+6 .... equation in standard form
Answer:
1. V={π(3^2)*9 in^3}/3=84.82 in^3
2. V= {π(7^2)*11 in^3}/3=564.44 in^3
3. V= {π(15^2)*20 in^3}/3=4,712.39 yd^3
Step-by-step explanation:
V=π(r^2)h
Answer:
1/2
Step-by-step explanation:prime numbers ={2,3,5,7}
likelihood of prime numbers =number of prime numbers /all numbers
=4/8 , 4 divides itself once and 4 divides 8 twice.
=1/2
Answer:
Step-by-step explanation:
Assuming you meant to type b= -3, you would plug in 5 + -3 + -2 to equal 0. The answer would then be 0.
If b was supposed to be +3, then it would be absolute value of 5 + 3 + -2 to equal 6.
With the concept of first in, first out method, then we
can use the formula below to solve for the number of equivalent units of
production for that period.
number of equivalent units of production
= Total number of units completed during that period (A) –
Number of units completed in process at the beginning of the period (B) +
Number of units completed at the end of the period (C)
= A – B + C
We know that,
A = 9000 units
So we solve for B and C.
B is 60% of the 500 units, therefore:
B = 0.60 * 500 = 300
C is 30% of the 600 units, therefore:
C = 0.30 * 600 = 180
Substituting the values into the equation:
number of equivalent units of production = 9000 – 300 + 180
number of equivalent units of production = 8880 units
Answer:
A. 8880
