Answer:
0.761
Step-by-step explanation:
first you do 3 divided by 2.2 and get .733 which you round to .7
next you do 3 divided by 2.28 and get .76
last you do 3 divided by 2.283 and get .761
Times 2nd equation by 2
add to first equation
3x+6y=6
<u>4x-6y=8 +</u>
7x+0y=14
7x=14
divide both sides by 7
x=2
sub back
2x-3y=4
2(2)-3y=4
4-3y=4
minus 4 both sideds
-3y=0
y=0
(x,y)
(2,0)
The y-intercept is the value of y when the graph intersects the y-axis. Graphs intersect the y-axis when x=0, so we just substitute in x=0 to get:
y=2(0+3)(0+4)
y=2(3)(4)
y=24
Therefore, 24 is our answer.
Hope I helped :)
Answer:
Maximum height is 7 feet
Step-by-step explanation:
Solution:-
- The complete question is as follows:
" The height of a small rise in a roller coaster track is modeled by f(x) = –0.07x^2 + 0.42x + 6.37, where x is the distance in feet from a supported at ground level.
Find the greatest height of the rise "
- To find any turning points ( minimum or maximum ) points of a trajectory expressed as function of independent parameter, we find the critical points of the trajectory where the first derivative of the dependent variable w.rt independent variable is set to zero.
- In our case the height of the roller coaster track (y) is function of the distance (x) from a supported pole at ground level.
f(x) = –0.07x^2 + 0.42x + 6.37
- Now set the first derivative equal to zero, and determine the critical values of x:
0 = -0.14x + 0.42
x = 0.42 / 0.14 = 3 ft
- The critical value for the coaster track is at point 3 feet away from the supported pole at ground level. So the height f(x) at x = 3 ft, would be:
f ( x = 3 ) = max height
max height = –0.07*3^2 + 0.42*3 + 6.37
= 7 ft
For every 21 minutes that people spend using their cell phone, the number of texts they send increases by 5.
(I just did the test)
