Answer:
Option A - 10
Step-by-step explanation:
Given : There are 3 red chips and 2 blue chips. If they form a certain color pattern when arranged in a row, for example RBRRB.
To find : How many color patterns are possible?
Solution :
Total number of chips = 5
So, 5 chips can be arranged in 5! ways.
There are 3 red chips and 2 blue chips.
So, choosing 3 red chips in 3! ways
and choosing 2 blue chips in 2! ways.
As changing the places of similar chip will not create new pattern.
The total pattern is given by,
Therefore, color patterns are possible are 10.
Option A is correct.
20(x+17)
20×x+20×17
20x+340
Answer:
B) -1
Step-by-step explanation:
This is the equation of a parabola which can be expressed as
y = a(x-h)² + k (1)
where (h, k) are the coordinates of the vertex which is the minimum or maximum of the graph. Strict definition is where the parabola intersects the line of symmetry ie the line which cuts a shape into half
Parabolas are symmetric around the line of symmetry
Here we see the vertex is at x = 0, y = 9 (0,9) so h=0 and k = 9
Substituting equation (1) we get
y = a(x -0)² + 9 = ax² + 9
To find a all we have to do is choose any point on the parabola, plug its x and y values into the parabola equation above
A convenient point is where the parabola intersects the positive x axis. Here x = 3 and y = 0
Plugging these values we get
0 = a(3)² + 9
a = -9/9 = -1
Answer:
-2(x + 1)(x + 6)
Step-by-step explanation:
Please use " ^ " to denote exponentiation: -2x^3-14x^2 - 12x
Note that all three terms are evenly divisible by -2x, leaving the quotient x^2 + 7x + 6.
This quotient is also easily factored:
-2x^3-14x^2 - 12x = -2(x^2 + 7x + 6) = -2(x + 1)(x + 6)
I hope this helps you
a= -5t+30
5t=30-a
t=30-a/5
5 <30-a/5 <7
5.5 <30-a <7.5
25 <30-a <35
25-30 <30-a-30 <35-30
-5 < -a <5
5>a>-5
