Answer:
its going to be B im doing this too in math
Step-by-step explanation:
Answer:
18 boys
Step-by-step explanation:
set a proportion
8 24
-- = ---
6 x
24(6)=8(x)
144=8x
divide 8 by both sides
18 boys
Answer:
it is not a direct variation
Step-by-step explanation:
To have a direct variation
y/x = k for all values of x and y
y/x = 11/7
y/x = 13/8
y/x = 15/9 = 5/3
y/x = 17/10
11/7 does not equal 13/8 so it is not a direct variation
.9 = 90% so .95 = 95% and .95 is bigger that .9
Let p(x) be a polynomial, and suppose that a is any real
number. Prove that
lim x→a p(x) = p(a) .
Solution. Notice that
2(−1)4 − 3(−1)3 − 4(−1)2 − (−1) − 1 = 1 .
So x − (−1) must divide 2x^4 − 3x^3 − 4x^2 − x − 2. Do polynomial
long division to get 2x^4 − 3x^3 − 4x^2 – x – 2 / (x − (−1)) = 2x^3 − 5x^2 + x –
2.
Let ε > 0. Set δ = min{ ε/40 , 1}. Let x be a real number
such that 0 < |x−(−1)| < δ. Then |x + 1| < ε/40 . Also, |x + 1| <
1, so −2 < x < 0. In particular |x| < 2. So
|2x^3 − 5x^2 + x − 2| ≤ |2x^3 | + | − 5x^2 | + |x| + | − 2|
= 2|x|^3 + 5|x|^2 + |x| + 2
< 2(2)^3 + 5(2)^2 + (2) + 2
= 40
Thus, |2x^4 − 3x^3 − 4x^2 − x − 2| = |x + 1| · |2x^3 − 5x^2
+ x − 2| < ε/40 · 40 = ε.
