Answer:
a. y=5x-1
b. 2y=8-2x
y=8-2x/2
y=4-x
c. y=3x-3
Step-by-step explanation:
there you go
In order to factor a polynomial, you have to find its roots
So that you can factor it as
So, in this case, we're looking for the solutions of
So, the polynomial can be written as
Short answer
y >-x + 4
y <= 2(x - 1)^2 - 18
Comment
Let's establish what we are talking about. The question says purple and to me purple means the shaded area above the blue and to the upper right of the parabola.
Not so. It is the wine colored area right above the parabola according to the direction of he inequalities.
Second thing: the question is trying to see if you can read all he information you need from a graph.
Step One
Find the equation of the line.
We can read 2 points right away the x and y intercepts.
(4,0) is the x intercept
(0,4) is the y intercept
The general equation for the slope intercept equation is
y = mx + b So when x = 0 then b = y
4 = m*0 + b
b = 4
This far we have
y = mx + 4
when x = 4, y = 0
0 = m*4 + 4 Subtract 4 from both sides.
-4 = m*4 Divide by 4
-4/4 = m
m = - 1
Complete equation is y = -1x + 4
The inequality is y > -x + 4 Top answer block.
Step Two
Find the equation for the parabola
You could just read the minimum point which is (1,-18) There is a catch. (Isn't there always?) This may have a constant in front of the (x - a)^2 term. We'll check that out in the next step.
y = (x - 1)^2 - 18 is the basic vertex solution
Step Three
Find the value of a in
y = a(x - 1)^2 - 18
You have to do this because the answer has a space before the brackets. We need another point. The y intercept might work.
y = a(0 -1)^2 - 18
Use the point (0,-16)
-16 = a(1) - 18
-16 = a - 18 Add 18 to both sides.
2 = a
So the equation of the quadratic is
y <= 2(x - 1)^2 - 18 <<<<<< answer second section down on your question sheet.
Answer:
Step-by-step explanation:
so the question is asking about the time from 1500 feet to 1100 feet. How long did they fall, w/o a parachute. aka "freefall" so, at 1500 feet the jumper is really at time zero. so, plug in to the formula
1100 = -16
+1500
( x represents seconds so i'll change it to t so we know it's time )
1100 = -16
+ 1500
now we can solve for t , to see how long the jumper falls
-400 = - 16 ( subtracting 1500 from both sides of equation )
25 = ( dividing both sides by -16 )
oh.. look at how nice that turns out.. :)
= t ( take the square root on both sides )
5 = t
the jumper fell for 5 seconds to get to 1100 feet
Answer:
The area of the polygon is 
Step-by-step explanation:
Sketch the polygon to obtain the figure in the attachment.
The polygon can then be divided into a rectangle and a triangle.
The area of the polygon
We use the absolute value method to find the lengths
