Answer:
at least 8
Step-by-step explanation:
Answer:
Answer D: f(-2) = 2
Step-by-step explanation:
To evaluate f(-2) we need to find what is the y-value that the graph shows for the x-value "-2".
To find such, we look for the value x = -2 on the horizontal (x) axis (located two units to the left of the origin of coordinates (0,0)), and from there, we investigate at what y-value (value on the vertical y-axis) a line that follows the vertical grid passing through x = -2, intercepts the graph of the function.
That is pictured with a red dot in the attached image. Notice that the y-value at which such intersection occurs is y = 2.
Therefore f(-2) = 2
Steps:
1. calculate the values of y at x=0,1,2. using y=5-x^2
2. calculate the areas of trapezoids (Bottom+Top)/2*height
3. add the areas.
1.
x=0, y=5-0^2=5
x=1, y=5-1^2=4
x=2, y=5-2^2=1
2.
Area of trapezoid 1 = (5+4)/2*1=4.5
Area of trapezoid 2 = (4+1)/2*1=2.5
Total area of both trapezoids = (4.5+2.5) = 7
Exact area by integration:
integral of (5-x^2)dx from 0 to 2
=[5x-x^3/3] from 0 to 2
=[5(2-0)-(2^3-0^3)/3]
=10-8/3
=22/3
=7 1/3, slight greater than the estimation by trapezoids.
Answer:

Step-by-step explanation:
Let
x = cost for one adult
y = cost for one child
z = cost for one senior.
<u>The Reid family:</u>
take 2 adults and 2 children and paid
that is
, so

<u>The Mghee family:</u>
take 1 senior, 2 adults and 1 child and paid
that is
, so

<u>The Griffiths family:</u>
take 1 senior and 3 adults and paid
that is
, so

You get the system of three equations:

From the first equation:

From the third equation:

Substitute them into the second equation:

Then

Hence,
the cost for one adult is 
the cost for one child is 
the cost for one senior is 
<u>The Linton family</u> takes 1 senior, 2 adults and 3 children and paid


he then turns around and grabs that money and sticks it for another 9 years,

add both amounts, and that's how much is for the whole 21 years.