Answer:
Step-by-step explanation:
The truck's fuel consumption is:
660 miles
---------------- = 7.33 miles per gallon.
90 gallons
Draw a set of coordinate axes, with # of gallons on the horiz. axis and distance traveled on the vertical axis. Place a black dot at (0,0). Starting at (0,0), draw in scale divisions that can accommodate 0-100 gallons. Mark scale divisions on the vertical axis such that the maximum distance traveled is 800 miles. Now draw a vertical line through 90 gallons and a horizontal line through 660 miles. Draw a black dot where these two lines intersect. Now draw a straight line through (0,0) and (90,660). These two points are your intercepts, horiz. first and vert. second.
The domain is the set of numbers on the horiz. axis for which you have a graph (meaning that your function is defined). Here your domain is
[0,90] gallons. No function is defined for less than 0 gallons or more than 90 gallons.
The origin represents no fuel yet consumed and no distance yet traveled.
Answer:
B. (1,5) and (5.25, 3.94)
Step-by-step explanation:
The answer is where the 2 equations intersect.
We need to solve the following system of equations:
y = -x^2 + 6x
4y = 21 - x
From the second equation:
x = 21 - 4y
Plug this into the first equation:
y = -(21 - 4y)^2 + 6(21 - 4y)
y = -(441 - 168y + 16y^2)+ 126 - 24y
y = -441 + 168y - 16y^2 + 126 - 24y
16y^2 + y - 168y + 24y + 441 - 126 = 0
16y^2 - 143y + 315 = 0
y = [-(-143) +/- sqrt ((-143)^2 - 4 * 16 * 315)]/ (2*16)
y = 5, 3.938
When y = 5:
x = 21 - 4(5) = 1
When y = 3.938
x = 21 - 4(3.938) = 5.25.
Answer:
Science class had a higher average
Step-by-step explanation:
Given
g(x) table
Solving (a): f(2)
We have:
So:
Solving (b): g(2)
From the given table.
Solving (c): f(4) or g(4); which is greater
So:
For g(4): Notice that in the table of g(x); g(x) increases by 2 when x increases by 1
This means that:
So
<em>Hence, g(4) i.e. Science class is greater</em>
120% that would be the percentage of 12/10.
12 divided by 10 = 1.2
1.2 times 100 = 120
That is equal to 120%
You can find this by doing: 64 points/ 8 games.
Therefore, she scored 8 points a game.
