He wrote identity instead of commutative in step 4
Answer:
1/8 and 1/16
Step-by-step explanation:
The negative exponent just means to right the negative inverse.
For example:
4^-2 means 4^2 but in a fraction
the answer would be 1/16
Answer:
The graph in the attached figure
Step-by-step explanation:
we have

This is a vertical parabola open upward (because the leading coefficient is positive)
The vertex is a minimum
step 1
Find the vertex of the quadratic equation
Convert the equation in vertex form
Complete the squares



Rewrite as perfect squares

The vertex is the point (3.5,0.25)
step 2
Find the x-intercepts
The x-intercepts are the values of x when the value of the function is equal to zero
we have

solve for x

square root both sides




therefore
The x-intercepts are the points (3,0) and (4,0)
step 3
Find the y-intercept
The y-intercept is the value of y when the value of x is equal to zero
we have

For x=0


The y-intercept is the point (0,12)
step 4
Graph the quadratic equation
we have
The vertex (3.5,0.25)
The x-intercepts (3,0) and (4,0)
The y-intercept (0,12)
using a graphing tool
Plot the points and draw the figure
The graph in the attached figure
I think b positive let me know if it is correct
The coefficient of the last term in the binomial expansion is 1.
Given term is (x + 1)⁹.
The algebraic expansion of a binomial's powers is expressed by the binomial theorem or binomial expansion. The process of expanding and writing terms that are equal to the natural number exponent of the sum or difference of two terms is known as binomial expansion.
The binomial expansion formula for (a + b)ⁿ= ⁿC₀(aⁿb⁰)+ⁿC₁(aⁿ⁻¹b¹)+ⁿC₂(aⁿ⁻²b²)+ⁿC₃(aⁿ⁻³b³)+...............+ⁿCₙ(a⁰bⁿ)
Here, a = x, b = 1 and n = 9.
Substituting the values in the formula,
⁹C₀(x⁹{1}₀)+⁹C₁(x⁹⁻¹{1}¹)+⁹C₂(x⁹⁻²{1}²)+⁹C₃(x⁹⁻³{1}³)+......+⁹C₉(x⁰{1}⁹)
The last term is ⁹C₉(x⁰{1}⁹)
The coefficient of the last term = ⁹C₉ = 1.
Hence, the coefficient of the last term in the binomial expansion of (x+1)⁹ is 1.
Learn more about binomial expansion from here brainly.com/question/13602562
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