c constant of proportionality is 12
Step-by-step explanation:
36÷3= 12
Using this equation, f(3) = 23.
In order to find the value of f(3), we need to take the f(x) equation and put 3 everywhere we see x. Then we follow the order of operations to solve. So, let's start with the original.
f(x) = 2x^2 + 5sqrt(x - 2)
Now place 3 in for each x.
f(3) = 2(3)^2 + 5sqrt(3 - 2)
Now square the 3.
f(3) = 2(9) + 5 sqrt(3 - 2)
Do the subtraction inside of the parenthesis.
f(3) = 2(9) + 5sqrt(1)
Take the square root
f(3) = 2(9) + 5(1)
Multiply.
f(3) = 18 + 5
And add.
f(3) = 23
Answer:
The difference of the degrees of the polynomials p (x) and q (x) is 1.
Step-by-step explanation:
A polynomial function is made up of two or more algebraic terms, such as p (x), p (x, y) or p (x, y, z) and so on.
The polynomial’s degree is the highest exponent or power of the variable in the polynomial function.
The polynomials provided are:
The degree of polynomial p (x) is:
The degree of polynomial q (x) is:
The difference of the degrees of the polynomials p (x) and q (x) is:
Thus, the difference of the degrees of the polynomials p (x) and q (x) is 1.
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Answer:
Area of the figure = 36 in²
Step-by-step explanation:
Area of the given composite figure = Area of the rectangle ABCE - Area of triangle CDE
Area of rectangle ABCE = Length × Width
= AB × AC
= 6 × 8
= 48 in²
Area of triangle CDE =
=
= 12 in²
Now area of the composite figure = 48 - 12
= 36 square inch