Answer:
For a flag with 2 different colours, there are 8 possible colours for the first colour to be chosen from and 7 possible colours (excluding the first colour already chosen) for the second colour to be chosen from, given that colours are different. Hence there are a total of 8 x 7 = 56 possible flags to be created.
Step-by-step explanation:
Hello here is a solution:
equation for the line is : y = ax+b a : slope
let A(3;-1) B(-5;3)
a= ((3)-(-1))/(-5)-(3))
a= 4/-8
a=-1/2
y=(-1/2) x+b
- 1 = (-1/2)(3)+b
b= 1/2
the equatdion is : y=(-1/2)x+1/2
Answer:
Last option is the correct answer:
The graph of G (x) is the graph of f(x) shifted 2 units to the left
Step-by-step explanation:
We know that for any parent function f(x) the graph of the transformed function:

is a shift of the the parent function f(x) either to the left or the right depending on the value of a.
if a>0 then the shift is 'a' units to the left
and if a<0 then the shift is 'a' units to the right.
Here we have transformed function G(x) as:

i.e. a=2>0.
Hence, the graph of G (x) is the graph of f(x) shifted 2 units to the left.
X+y=8
multiply the first equation by 3 to get rid of x
3x+3y=24
3x+2y=14
subtract equation 1 from 2
y=10
substitute to find the value of x
x+10=8
x=-2
Answer:
35 members
Step-by-step explanation:
In a tennis club the ratio number of junior members : number of senior members is 7 : 10
From the above ratio
Number of junior member = 7
Number of senior members = 10
There are 18 more senior members than junior members.
S = 18 + j
10 + 18 = 28 senior members
Hence,
Total number of members = 28 senior members + 7 junior members
= 35 members