Answer:
y=3x^2 is the quadratic that presents the table
x | 0 1 2 3
y | 0 3 12 27
The exponential that includes (1,4) takes off a bit faster than the others near x=0.
Step-by-step explanation:
If the table is:
x | 0 1 2 3
y | 0 3 12 27
It says it is a quadratic and we know the y-intercept is 0 since we have the point (0,0).
y=ax^2+bx
Now we need to use 2 more mores and we should wind up with a system to solve for a and b.
(1,3) (2,12)
3=a(1)^2+b(1) 12=a(2)^2+b(2)
3=a+b 12=4a+2b
6=2a+b (divided both sides by 2)
So we are solving the system
3=a+b
6=2a+b
-------------- I'm going to choose elmination because it is already setup that way. I'm going to subtract the equations. In doing so, the b's will cancel.
3-6=a-2a
-3=-a
a=3
so since 3=a+b and a=3 then b=0
So the quadratic is y=3x^2
And perhaps we could have looked for an easier way to solve this since we winded up with such a simple quadratic. I'm saying it might have been just easier looking for a pattern but something it won't be that easy.
Answer:
80.67 hours
Step-by-step explanation:
Data provided in the question:
The number of weekly hours worked :
78 85 82 79 77 82 81 82 81 81 82 78
total number of observations = 12
Now,
Mean = (Sum of all the data values) ÷ (Total number of data values)
or
Mean = ( 78 + 85 + 82 + 79 + 77 + 82 + 81 + 82 + 81 + 81 + 82 + 78 ) ÷ 12
or
Mean = 968 ÷ 12
or Mean = 80.67 hours
The answer 456 fe
Because it the benefit is doing today
<u>The given options are:</u>
(A)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.
(B)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the circumference of the circle will yield the area of the sector.
(C)the central angle measure of the sector multiplied by the area of the circle will yield the area of the sector.
(D)the central angle measure of the sector multiplied by the circumference of the circle will yield the area of the sector.
Answer:
(A)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.
Step-by-step explanation:
The area of the shaded sector can be determined using the formula:



Therefore, the formula is:

Therefore, the formula is best explained by Option A.
Question:
Point T, the midpoint of segment RS, can be found using the formulas x = (1/2) (6 – 2) + 2 and y = (1/2) (4 – 6) + 6. What are the coordinates of point T?
Answer:

Step-by-step explanation:
Given


Required
Determine the coordinates of T
The coordinates of T can be represented as 
To do this, we simply solve for x and y

Solve 6 - 2

Solve 1/2 * 4



Solve 4 - 6

Solve 1/2 * -2


Hence, the coordinates of T(x,y) is:
