Answer:
Explained
Step-by-step explanation:
The 1 is the y-intercept
The -2 is the slope
First place a point at (0,1)
Then, because it's negative from left to right the graph is decreasing (going lower on the y-axis the farther you go on the x-axis).
Slope is rise over run so the -2 affects how far it goes. So for each value of x that increases by one, a new point will be two units down and one unit right of the previous point. To graph to the left of the y-intercept then you do that backwards where the next point is two units up and one unit left.
Then just draw a straight line connecting all the points.
9/20 is your answer! Have a nice day and maybe even consider a brainliest!
460 < 2x + 10 and 2x + 10 < 660
Solve x in each equation:
Rewrite so X is on the left side:
2x +10 >460
Subtract 10 from each side:
2x > 450
Divide both sides by 2:
x > 450 /2
x > 225
2x +10 <660
Subtract 10 from both sides:
2x < 650
Divide both sides by 2:
x < 650 / 2
x < 325
Combine the answer: 225 < x < 325
This means her carb intake needs to be more than 225 and less than 325 grams.
Answer:
Step-by-step explanation:
Given the function f(m)=20-0.25m to represent the amount of money f(m) she has left after talking m minutes, the zero of the equation can be gotten by setting f(m) to 0
f(m)=20-0.25m
0 =20-0.25m
-20 = -0.25m
m = -20/-0.25
m = 80
Hence Trudy will have talked for 80minutes if she has no money left
H(t) = −16t^2 + 75t + 25
g(t) = 5 + 5.2t
A)
At 2, h(t) = 111, g(t) = 15.4
At 3, h(t) = 106, g(t) = 20.6
At 4, h(t) = 69, g(t) = 25.8
At 5, h(t) = 0, g(t) = 31
The heights of both functions would have been the closest value to each other after 4 seconds, but before 5 seconds. This is when g(x) is near 30 (26-31), and the only interval that h(t) could be near 30 is between 4 and 5 seconds (as it is decreasing from 69-0).
B) The solution to the two functions is between 4 and 5 seconds, as that is when their height is the same for both g(t) and h(t). Actually the height is at 4.63 seconds, their heights are both
What this actually means is that this time and height is when the balls could collide; or they would have hit each other, given the same 3-dimensional (z-axis) coordinate in reality.
