Evaluate the expression 2b + 4a + 3b for a = 0.5 and b = 1/3

2 answers:

7 0

2b+4a+3b
1.) 2*1/3= 0.666 repeated because 1/3=0.333 repeated.
2.) 4a: 4*.5=2
3.)3b= 3*1/3 (1/3=0.333 repeated) =0.999 repeated

add all 3 answers up.....and get=3.3333 repeated

sleet_krkn [62]3 years ago

3 0

The answer for this problem is 3.66666666.

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Determined if the graph represents a polynomial function if it does determine the number of turning points and the least degree

skelet666 [1.2K]

<em>The graph of f is a polynomial function</em>
<em>There are two turning points, namely, x = 0 and x = -2</em>

<h2>Explanation:</h2>

A polynomial function in one variable is given by the form:

$f(x)=a_{n}x^n+a_{n-1}x^{n-1}+\cdots +a_{2}x^2+a_{1}x+a_{0}$

Since you haven't provided any expression, I'll choose the following function:

$f(x)=x^{3}+3x^{2}+3$

So this is indeed a polynomial function. A turning point is an x-value where we have either a local maximum or local minimum. So we need to take the derivative of this functions:

$f'(x)=3x^2+6x \\ \\ Finding \ turning \ points: \\ \\ 3x^2+6x=0 \\ \\ x(3x+6)=0 \\ \\ \\ So: \\ \\ x=0 \\ \\ and \\ \\ \ 3x+6=0 \therefore \ \boxed{x=-2}$