Answer: y = 2x^4
The graph represents a parabolic-looking shape so it's either a quadratic or some even degree polynomial. This rules out y = -2x^3 and y = 2x^3 as they are cubics with odd degrees
The degree of a polynomial is the largest exponent. It determines the end behavior. In this case, both ends are rising upward together. Because they are rising up in the positive y direction, this means that we cannot have y = -2x^4 as the answer. For example, if x = 2 then y = -2*x^4 = -2*2^4 = -32, but the point (x,y) = (2,-32) isn't on the blue curve. So we can rule y = -2x^4 out.
The fact that y = 2x^4 has a positive leading coefficient tells us that the endpoints point upward.
The first thing to do with these problems is to convert them into y=mx+b form; this will literally show you the answer to slope and y intercept since m=slope and b=y intercept.
To convert, isolate the y and the rest should fall into place. Subtract 2x from 4y and the other side of the equation to get the equation 4y= -2x+9 (put the x first because of mx+b). Then Divide the 4 from y and do the same to the other side to get y= -1/2x+9/4. M= -1/2 so that is the slope. B=9/4 so that is the y intercept
Answer: He will need 8 gallons of paint for the other murals.
Step-by-step explanation:
Given: 1 gallon of paint was required to create 1 mural.
Since replicates have the same dimensions, i.e same total surface area.
So, if 8 replication need to be made, the quantity of the paint required for this will be
8 x (Quantity required for 1 mural)
= 8 x 1
= 8 gallons
Hence, he will need 8 gallons of paint for the other murals.
The Standard Normal Distribution Curve
We can set it up like this:
Multiply straight...
Simplify...
That's our answer, we can also convert it to decimal.
Answer in fraction form:
Answer in decimal form:
Let me know if you have any questions regarding this problem!
Thanks!
-TetraFish
