Answer:
Step-by-step explanation:
Given that Rafaela is a physical education teacher and has 25 girls and 35 boys in her class.
She wants to divide the class into teams of the same size, where each team has the same number of girls and the same number of boys. If Rafaela creates the greatest number of teams possible, how many boys will be on each team?
Here we find Highest common factor for 25 and 35 and it is 5
So 5 boys will be on each team (with 7 girls)
2) length I = 7m, x12 m and height = 3mx85 cm.
The longest tape would be the highest common factor of 12 and 85
Since it is 1, only 1 cm long tape can be used.
To download 5 albums it would be $60.
Explanation: $36 divided by 3 is $12.
5 x $12= $60.
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.
Answer:
i think c
Step-by-step explanation:
sorry if im wrong
Step-by-step explanation:
I think you mean you want to find out 40% of a number,, when 60% of it is 180, so I'll answer that:
60% = 180
÷6
10% = 30
x4
40% = 120
(if you want to find 100%, multiply 30 by 10)
Hopefully this helps :)
