Substituting the data points into the model:
f(x)= -x2 + 2x -3
f(-2)=-11
f(0)=-3
f(1)=-2
f(3)=-6
f(5)=-18
So A is the right ans.
Answer:
Step-by-step explanation:
Part A
We will use the slope intercept form of the line and then convert later.
Equation
y = mx + b is the general form
Givens
Two data points
(4,180)
(9,325)
Solution
325 = 9x + b
<u>180 = 4x + b</u> Subtract
145 = 5x Divide by 5
145/5 = 5x/5 Do the division
29 = x This represents the cost / day
180 = 4x + b Substitute x = 29 to find b
180 = 4*29 + b Combine
180 = 116 + b Subtract 116 from both sides.
180 - 116 = b
64 = b
Solution for y = mx + b
y = 29x + 64
In Standard form this is
- 29x + y = 64 But the first number must be plus
29x - y = - 64 <<<< Answer A
Part B
y = 29x + 64
f(x) = 29x + 64
Part C
The graph is shown below. Various points are filled in using y = 29x + 64. The y intercept is (0,64) which is labeled. Let x = 1 , 2, 3, 4, ... 10 (which is arbitrary). This may be more easily done on a spreadsheet if you know how to use one to make graphs.
Answer:
In this case, the 30% represents the proportion of the sample. It is a statistic that can be used to estimate a parameter of the population.
Step-by-step explanation:
In this case, the 30% represents the proportion of this specific sample (survey taken by the magazine).
It is a statistic that can be used to estimate a parameter of the population. In this case, it may be used to estimate the true proportion of "people in New York who believe that the Yankees will miss the playoffs this year".
If a new sample is taken, a new statistic will be calculated that may or may not be equal to 30%.
A)
Earlier, The length of the angelfish =
inches
Now, the length of angelfish =
inches
We have to determine the grown length of angelfish
=
- 
= 
LCM of '2' and '3' is '6',
= 
=
inch
Therefore, the angelfish has grown by
inch.
B)
We have to determine the increased length of angelfish in feet.
Since
foot
So, 
= 0.069 foot.