G(x)=− 4 x 2 +7g, left parenthesis, x, right parenthesis, equals, minus, start fraction, x, start superscript, 2, end superscr
steposvetlana [31]
For this case, what we should do is evaluate the function for different points within the range shown.
We then have the following table:
x g(x)
-2 -9
-1 3
0 7
1 3
2 -9
3 -29
4 -57
From where we observed that the average rate of change is:
-13
Answer:
the average rate of change of g over the interval [-2,4] is:
-13
Answer:
length = 22
width = 13
Step-by-step explanation:
Perimeter of a rectangle is given by the formula
P =2(l+w)
we know the length is x
width is x-9
P =70
Substituting this into the equation
70 = 2(x+x-9)
Combining like terms
70=2(2x-9)
Distributing the 2
70 = 4x-18
Adding 18 to each side
70+18 = 4x-18+18
88 = 4x
Divide by 4
88/4 = 4x/4
22= x
we know the length is x
length = 22
width is x-9
width = 22-9= 13
The required domain of the inverse function is x ≤ 0. Hence option D is correct.
f(x) = -x^2
<h3>What are functions?</h3>
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is independent variable while Y is dependent variable.
Inverse of function f(x) = -x^2
y = -x^2
x = √-y
Now,
Inverse function of f(x) is √-x
Its domain is define as less than or equal to zero.
Thus, the required domain of the inverse function is x ≤ 0.
Learn more about function here:
brainly.com/question/21145944
#SPJ1
Answer:
Error of Andrew: Made incorrect factors from the roots
Step-by-step explanation:
Roots of the polynomial are: 3, 2 + 2i, 2 - 2i. According to the factor theorem, if a is a root of the polynomial P(x), then (x - a) is a factor of P(x). According to this definition:
(x - 3) , (x - (2 + 2i)) , (x - (2 - 2i)) are factors of the required polynomial.
Simplifying the brackets, we get:
(x - 3), (x - 2 - 2i), (x - 2 + 2i) are factors of the required polynomial.
This is the step where Andrew made the error. The factors will always be of the form (x - a) , not (x + a). Andrew wrote the complex factors in form of (x + a) which resulted in the wrong answer.
So, the polynomial would be:
Hello from MrBillDoesMath!
Answer:
Choice A, "n"
Discussion:
n/4 + n/4 + n/4 + n/4 = 4 (n/4) = n
which is choice A
Regards,
MrB
P.S. I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!
