25. You have to do 65x65-(60x60) and the square root it
Answer:
I agree with Elena
Step-by-step explanation:
Ants have 6 legs. Elena and Andre write equations showing the proportional relationship between the number of ants, a, to the number of ant legs, v.
Elena writes a = 6 times v
Andre writes v =1/6 times a.
Mathematically
The number of ants a is directly proportional to the number of legs
=a ∝ v
Because if
1 ant = 6 legs
2 ants = x legs
x = 6 legs × 2
x = 12 legs
The number of ants is directly proportional to the number of legs
Therefore, Elena is correct and Andre is wrong.
Answer:
the y-value of the vertex = 1,125
Step-by-step explanation:
The table is as shown at the attached figure.
By graphing values in an x-y plane and observe the graph.
From the illustration, locate the vertex. The vertex of the parabola is (5, 1,125). So, the y-value of the vertex of the parabola that models the data is 1,125.
See the graph between x and y.
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:
{x,y} = {3,-2}
Step-by-step explanation:
// Solve equation [1] for the variable y
[1] y = 2x - 8
// Plug this in for variable y in equation [2]
[2] 3x - 2•(2x-8) = 13
[2] -x = -3
// Solve equation [2] for the variable x
[2] x = 3
// By now we know this much :
x = 3
y = 2x-8
// Use the x value to solve for y
y = 2(3)-8 = -2
Solution :
{x,y} = {3,-2}
