Consider the following expanded powers of (a + b)n, where a + b is any binomial and n is a whole number. Look for patterns.
Each expansion is a polynomial. There are some patterns to be noted.
1. There is one more term than the power of the exponent, n. That is, there are terms in the expansion of (a + b)n.
2. In each term, the sum of the exponents is n, the power to which the binomial is raised.
3. The exponents of a start with n, the power of the binomial, and decrease to 0. The last term has no factor of a. The first term has no factor of b, so powers of b start with 0 and increase to n.
4. The coefficients start at 1 and increase through certain values about "half"-way and then decrease through these same values back to 1.
Answer:
We conclude that:
''add 3 and the sum of 9 and v'' is algebraically represented by the expression as:
Step-by-step explanation:
Given the statement
''add 3 and the sum of 9 and v''
Let us break down the statement
so
Adding 3 and the sum of 9 and v will be: 3 + 9 + v
Therefore, we conclude that:
''add 3 and the sum of 9 and v'' is algebraically represented by the expression as:
87.35 squared would be 7,630.02.(87.35)^2 = 7,630.02Rounded off further, it will be 7,630.On a number line numbered in tenths, 7,630.02 could be plotted on 7,630, as rounding off the number to the nearest integer, the answer will be 7,630.
Answer:
V / ( pi r^2) = h
Step-by-step explanation:
V = pi r^2 h
Divide each side by pi r^2
V / ( pi r^2) = pi r^2 h / pi r^2
V / ( pi r^2) = h
We analyze the linear function to find that it has equation
. Drawing the line, we find that it
will intersect the circle at negative and positive x-coordinates.We can prove this by
substituting into the given equation:
Hence,
or
, so there are both positive and negative values for
.
