Step-by-step explanation:
a) Let 'm' represents score in a Mathematics test. The variable has a fixed value because the marks Sarah obtained in her test will not change
b) Let 'd' represent the distance between the Zen house and the school. The variable has a fixed value because by using the same route, the distance will always remain constant.
c) Let 't' represent the temperature on the summit of Mount Everest. The variable has a changed value because the temperature may alter depending on the time of day and also climatic conditions which will affect the temperature.
Answer:
a) 21684
b) 15504
Step-by-step explanation:
a) Distribute the comic books as follows
only to 1 kid one way but we have five kids then 5
to two kids C₂₀,₂ = 20! /2! ( 20-2)! = 20*19 /2 = 190
To three C₂₀,₃ = 20! /3! ( 20 - 3)! = 20*19*18 /6 = 1140
To four C₂₀,₄ = 20 ! / 4! ( 20 - 4 )! = 20*19*18*17 /4*3*2 = 4845
To five C₂₀,₅ = 20! /5! (20 - 5 )! = 20*19*18*17*16/5*4*3*2*1
C₂₀,₅ = 15504
Then total ways of distribution are:
5 + 190 + 1140 + 4845 + 15504 = 21684
b) C₂₀,₅ we know from a that is equal to 15504
Answer:
x^2 +8x
Step-by-step explanation:
2x+x(x+6)
Distribute
2x + x^2 +6x
Combine like terms
x^2 +8x
Answer:
11x+y = -28
Step-by-step explanation:
We have two points so we can find the slope
m = (y2-y2)/(x2-x1)
= (-6-5)/ (-2--3)
= -11(-2+3)
= -11/1
The slope is -11
We can use point slope to make an equation
y-y1 = m (x-x1)
y-5 = -11(x--3)
y -5 = -11(x+3)
Distribute
y-5 = -11x-33
Add 5 to each side
y-5+5 = -11x-33+5
y = -11x-28
Add 11x to each side
11x+y = -11x+11x-28
11x+y = -28
This is the standard form of a line
2
Factors of 8: 1, 2, 4, 8
Factors of 6: 1, 2, 3, 6
Factors of 10: 1, 2, 5, 10
