Answer:
15P3 = 15!/ (15-3)! = 15*14*13*12! / 12! = 15*14*13
Step-by-step explanation:
When the seats are empty, there are a total of 15 people that can possibly sit in there. There will only be 1 person left.
When the 1st seat is taken there are now 14 people who can possibly sit on another chair. Same goes when 2 seaats are taken.
To find the total number of possibilities, we multiply together the possible number of people for seat 1, seat2, and seat 3.
Or, if we use stat, nPr = n! / (n-r)!
Meaning:
15P3 = 15!/ (15-3)! = 15*14*13*12! / 12! = 15*14*13
Answer:
0
Step-by-step explanation:
all the question is asking is
if x is 2 then what is y
the line on the left is downward facing line which ends at
(2,0) <- where is x is 2 and y is 0
the upward facing line on the right does start at (2,3)
but the dot there is a
hollow dot
hollow dot represents excluded value
Answer:
HD = 10.5
Step-by-step explanation:
Given BH = 3, GH = 2, BF = 10
Step 1: To find HF:
HF = BF – BH
HF = 10 – 3
HF = 7
Step 2: To find HD:
We know that if two chords intersects inside a circle, the product of the lengths of the segments of one chord equals the product of the lengths of the segments of the other chord.
⇒ GH × HD = BH × HF
⇒ 2 × HD = 3 × 7
⇒ HD = 10.5
Hence, the value of HD = 10.5.
I hope this helps a little bit.
2006 x 5.75 = 11534.5 .....
Answer:
a) b = 8, c = 13
b) The equation of graph B is y = -x² + 3
Step-by-step explanation:
* Let us talk about the transformation
- If the function f(x) reflected across the x-axis, then the new function g(x) = - f(x)
- If the function f(x) reflected across the y-axis, then the new function g(x) = f(-x)
- If the function f(x) translated horizontally to the right by h units, then the new function g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then the new function g(x) = f(x + h)
In the given question
∵ y = x² - 3
∵ The graph is translated 4 units to the left
→ That means substitute x by x + 4 as 4th rule above
∴ y = (x + 4)² - 3
→ Solve the bracket to put it in the form of y = ax² + bx + c
∵ (x + 4)² = (x + 4)(x + 4) = (x)(x) + (x)(4) + (4)(x) + (4)(4)
∴ (x + 4)² = x² + 4x + 4x + 16
→ Add the like terms
∴ (x + 4)² = x² + 8x + 16
→ Substitute it in the y above
∴ y = x² + 8x + 16 - 3
→ Add the like terms
∴ y = x² + 8x + 13
∴ b = 8 and c = 13
a) b = 8, c = 13
∵ The graph A is reflected in the x-axis
→ That means y will change to -y as 1st rule above
∴ -y = (x² - 3)
→ Multiply both sides by -1 to make y positive
∴ y = -(x² - 3)
→ Multiply the bracket by the negative sign
∴ y = -x² + 3
b) The equation of graph B is y = -x² + 3
