There are 32 forwards and 80 guards in Leo's basketball league. Leo must include all players on a team and wants each team to ha
2 answers:
Answer: There are 5 guards on each team.
Step-by-step explanation:
Since we have given that
Number of forwards in Leo's basketball league = 32
Number of guards in Leo's basketball league = 80
We need to find the greatest number of teams possible.
So, we will find "Highest common factor " i.e HCF of 32 and 80 = 16
So, Number of guards on each team would be
Hence, there are 5 guards on each team.
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Answer:
y intercept = -2
x intercepts = -2,-1,1
Step-by-step explanation:
f(x) = x^3 + 2x^2 -x-2
Set this equation equal to zero to find the x intercepts.
Factoring by grouping
0 =x^3 -x +2x^2 -2
= x( x^2-1) +2(x^2-1)
Factoring out the (x^2-1)
0= (x^2-1) (x+2)
Factoring the first term using the difference of squares (a^2-b^2) = (a-b)(a+b)
0 = (x-1) (x+1) (x+2)
Using the zero product property
x-1 = 0 x+1 = 0 x+2 =0
x=1, x=-1 x=-2
The x intercepts are -2, -1, 1
To find the y intercepts, set x=0
y = x^3 + 2x^2 -x-2
y = 0 -2
y = -2
