Answer:
D = {-3, -2, -1, 1, 4}
R = {-5, -1, 0, 2}
Step-by-step explanation:
You have correctly described the process of finding the domain and range by the way you filled in the blanks at the top of the sheet.
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The domain is the set of x-values of the points on the graph:
D = {-3, -2, -1, 1, 4}
The range is the set of (unique) y-values of the points on the graph:
R = {-5, -1, 0, 2}
C=2πr
The C stands for circumference
the π is Pi (3.14)
and r is the radius (length of half a circle)
Since the sides are 10 ft you multiply that by 2 to get the length of both sides which gives you 20 feet.
Then to find the circle, since both are half circles. You can just do the normal circumference equation and you will end up with the same answer.
For example in this problem: this problem gives you the diameter but you need the radius of the circle. C=2(π)(1.5)
C=9.42 < this is the circumference of the circle.
Then you add the sides of the table which are 20 feet.
So the final answer is 29.42 feet.
Answer:
Point on Midline (0,3)
Maximum (9π/2,3)
Minimum (-9π/2,-3)
Step-by-step explanation:
in the given sine function which is in the form of f(x) = a sin(bx+c) +d
a = amplitude
period = frequency = 18π
Therefore b = 2π/18π = 1/9
Y intercept = vertical shift = 3
Horizontal shift = d = 0
Therefore the sine function will be
f(x) = 6 sin(x/9) + 3
Now first point on the midline is (0,3)
Second point is maximum (9π/2,9)
Third point be a minimum value ( -9π/2,-3)
Hello,
A: roots: -1,-3
a point (-2,1)
Vertex=((-2,1)
y=k*(x+1)(x+3) using roots
but k*(-2+1)(-2+3)=1==>k*(-1)*1=1==>k=-1
eq: y=-(x+1)(x+3)
==>y=-(x²+3x+x+3)
==>y=-x²-4x-3
y=k(x+2)²+1 if x=-1,y=0 ==>k*1+1=0==>k=-1
==>y=-(x+2)²+1
Answer :A--> R,K
B)
y=k(x+4)²-2 and k=-1/2
y=-1/2(x+4)²-2
y=-1/2x²-4x-10
answer B--> I,≈W if it is written -1/2*x² (square has been forgotten)
C:
y=2x²-16x+30
y=2(x-4)²-2
answer : C-->S,J
D:
y=-(x+3)(x+1)
y=-x²-4x-3
=-(x+2)²+1
answer D--> V,L
E:
Here there is a problem: or the graph is wrong, or 2 equations are missing!
y=1(x+1)(x-3) using roots
y=x²-2x-3 ≈ T si it were -2x and not +2x.
y=(x-1)²-4 ≈H is it were -1 in place of +1 [H:y=(x+1)²-4]
First simplify inside parenthasees
8-6x+12
-6x+8+12
-6x+20
distributive poproty
a(b+c)=ab+ac
1/4(-6x+20)=-6x/4+20/4=
-3/2x+5
