Answer:
1. 8x^3+6x^2+7
Step-by-step explanation:
The easiest way to find the vertex is to convert this standard form equation into vertex form, which is y = a(x - h)^2 + k.
Firstly, put x^2 - 10x into parentheses: y = (x^2 - 10x) + 30
Next, we want to make what's inside the parentheses a perfect square. To do that, we need to divide the x coefficient by 2 and square it. In this case, the result is 25. Add 25 inside the parentheses and subtract 25 outside of the parentheses: y = (x^2 - 10x + 25) + 30 - 25
Next, factor what's inside the parentheses and combine like terms outside of the parentheses, and your vertex form is: y = (x - 5)^2 + 5.
Now going back to the formula of the vertex form, y = a(x - h)^2 + k, the vertex is (h,k). Using our vertex equation, we can see that the vertex is (5,5).
Answer:
I am not sure I am so so so sorry My friend
One meaning of a 'linear' equation is that if you draw the graph
of the equation, the graph will be a straight line.
That's an easy way to test the equation . . . find 3 points on the
graph, and see whether they're all in a straight line.
This equation is y = 4 / x .
To find a point on the graph, just pick any number for 'x',
and figure out the value of 'y' that goes with it.
Do that 3 times, and you've got 3 points on the graph.
Here ... I'll do 3 quick points:
Point-A: x = 1 y = 4 / 1 = 4
Point-B: x = 2 y = 4 / 2 = 2
Point-C: x = 4 y = 4 / 4 = 1
Look at this:
Slope of the line from point-A to point-B
= (change in 'y') / (change in 'x') = -2 .
Slope of the line from point-B to point-C
= (change in 'y') / (change in 'x') = -1/2 .
The two pieces of line from A-B and from B-C don't even have
the same slope, so they're not pieces of the same straight line !
So my points A, B, and C are NOT in a straight line.
So the equation is NOT linear.
Try it again with three points of your own.
A <em>circle</em> is a figure <u>bounded</u> by a <em>curved</em> side which is referred to as <em>circumference</em>. Thus the area of the <u>shaded</u> region is option D. 81.65.
A <em>circle</em> is a figure<u> bounded</u> by a <em>curved</em> side which is referred to as <u>circumference</u>. Some of its <u>parts</u> are radius, diameter, sector, arc, etc.
The area of a <u>circle</u> can be determined by the given <em>expression:</em>
Area = π
where r is the <u>radius</u> of the circle and π = 
So, the area of the <u>shaded</u> region can be determined as:
Area of the <em>shaded</em> region = <em>area </em>of the <u>larger</u> circle - <em>area</em> of the <u>smaller</u> circle
Area of the<em> shaded </em>region = π
- π
= π (46.24 - 20.25)
= x 25.99
= 
<u>Area</u> of the <em>shaded</em> region = 81.683
Thus the<u> appropriate</u> answer to the question is option D. 81.65.
For more clarifications on the area of a circle, visit: brainly.com/question/3747803
#SPJ1
