Answer:
For part 6: 39
Step-by-step explanation:
You have your starting number and then it gets added to a product of two numbers. 8 + (2x2) = 12. 12 + (2x3) = 18. 18 + (3x3) = 27. 27 + (3x4) = 39. That is the most logical answer I was able to find.
Answer:
See below
Step-by-step explanation:
<h3>Part A</h3>
Gas in liquid state at
- 40° F < t < 140° F
<h3>Part B</h3>
The graph is the line segment from the point -40 to 140 on the number line, with both points open circles and shaded in between those 2 points
Solution set is all numbers greater that -40 and smaller than 140.
<h3>Part C</h3>
-49° F is smaller than -40° F, so the gas would freeze
C=2*pi*r or c=pi*d
c=7.6*pi
c=23.88
Answer:
x = 28 m
y = 14 m
A(max) = 392 m²
Step-by-step explanation:
Rectangular garden A (r ) = x * y
Let´s call x the side of the rectangle to be constructed with a rock wall, then only one x side of the rectangle will be fencing with wire.
the perimeter of the rectangle is p = 2*x + 2*y ( but in this particular case only one side x will be fencing with wire
56 = x + 2*y 56 - 2*y = x
A(r) = ( 56 - 2*y ) * y
A(y ) = 56*y - 2*y²
Tacking derivatives on both sides of the equation we get:
A´(y ) = 56 - 4 * y A´(y) = 0 56 - 4*y = 0 4*y = 56
y = 14 m
and x = 56 - 2*y = 56 - 28 = 28 m
Then dimensions of the garden:
x = 28 m
y = 14 m
A(max) = 392 m²
How do we know that the area we found is a local maximum??
We find the second derivative
A´´(y) = - 4 A´´(y) < 0 then the function A(y) has a local maximum at y = 14 m
Answer:
Please let me know if your quadratic is 
.
And if so your vertex is (-2,2) and your y-intercept is (0,-6)
Step-by-step explanation:
It says vertex so I'm thinking you meant . Please correct me if I'm wrong.
The vertex form of a quadratic is 
. It is called that because it tells you the vertex (h,k).
So if you compare the two forms you should see -h=2 while k=2.
-h=2 implies h=-2.
So the vertex is (h,k)=(-2,2).
To find the y-intercept, set x=0 and find y.
So the y-intercept is (0,-6).
