4) Given: Solve for x. Show all work.

Mathematics

1 answer:

mash [69]2 years ago

4 0

Answer:

x = 40

Step-by-step explanation:

Hello there!

Remember the circumference of a circle in degrees is equal to 360

so all of the arcs added together will equal 360

360 = x + 20 + 3x + 15 + 4x + 5

step 1 combine like terms

1x+3x+4x=8x

20+15+5=40

now we have 360 = 8x + 40

step 2 subtract 40 from each side

360 - 40 = 320

40 - 40 cancels out

now we have 320 = 8x

step 3 divide each side by 8

320/8=40

8x/8=x

we're left with x = 40

You might be interested in

I'm asking this question again because the other picture didnt show the full picture. x = 2 and y = 3

Strike441 [17]

Answer:

Step-by-step explanation:

When x=2 and y=3

4(2) + 1/3 times (3)^2

8+1/3 times 9

8+9/3

8+3

5 0

2 years ago

Read 2 more answers

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:

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