Answer:
x + 6 is not a factor of f ( x ) = x³ - 3x² + 2x - 8 because when -6 is substituted into the function, the answer is not 0.
Step-by-step explanation:
→ Substitute x = -6 into f ( x )
( 6 )³ - 3 × ( 6 )² + ( 2 × 6) - 8
→ Simplify
216 - 108 + 12 - 8
→ Simplify further
112
True because just plug in (1,3) for x and y and solve it out.
Plugging it in gives you 2(1)-3(3)=-7 which simplifies to 2-9=-7, which is true.
Answer:
4
Step-by-step explanation:
Let's find a pattern.
2^0=1
2^1=2
2^2=4
2^3=8
2^4=16
2^5=32
2^6=64
2^7=128
2^8=256
So starting after power of 0, the pattern begins at power=1. The pattern is 2,4,8,6 for the units digit. Since the pattern repeats in 4, then we shall divide the power in question by 4 seeking it's remainder.
Remainder=1 implies unit digit is 2 (see 2^1=2)
Remainder=2 implies unit digit is 4 (see 2^2=4)
Remainder=3 implies unit digit is 8 (see 2^3=8)
Remainder=0 implies unit digit is 6 (see 2^4=16)
2014/4 = 503 + 2/4
So remainder=2 implies unit digit is 4.
2500 - 240 = 2260
2260/2= 1130 or female count 1130 + 240 = 1370 or male count\
1370 + 1130 = 2500
Answer:the answer should be B :) !
Step-by-step explanation: