9514 1404 393
Answer:
Step-by-step explanation:
When the equation of the line is in the form ...
y = mx + b
the coefficient 'm' is the slope of the line, and the value 'b' is the y-intercept, the point on the y-axis where the line crosses.
We say the line is "steeper" when the magnitude of the slope is greater. Line B, with its slope of 7 will be steeper than line A, with its slope of 3.
the new slope is steeper
__
The y-intercept of line A is -3. The y-intercept of line B is +1, so it crosses the y-axis above the point where line A crosses. One could say that line B is shifted up, when referring to the y-intercept.
Answer:
- a) 6.5 seconds
- b) 13 seconds
- c) 679 ft
Step-by-step explanation:
<u>Given function:</u>
a) <u>Maximum height is the vertex.</u> The ball reaches the maximum after:
- h = -208/2(-16) = 6.5 seconds
b) <u>Time the ball was in the air:</u>
Solving we get approximately t = 13 seconds
c) <u>Maximum height is at vertex, we found t above:</u>
- h(6.5) = -16(6.5)^2 + 208*6.5 + 3 = 679 ft
So, there will be 40 green cars. if we want the ratio to be 1:3, we will need there to b three times as many silver cars as green cars: 40*3=120.
we already have 20 silver, so we need to add 120-20, that is 100 silver cars!
it would be known as a mixed fraction....?
Answer:
80 ft
Step-by-step explanation:
<em>hey there,</em>
<em />
< We know that the rope is 3 pieces long. To make this into an equation, let's just write x + y + z = 150.
Assuming "y" is our second piece, we can tell y = 2x, because it is two times the size of the first piece, which is "x". We also know "z" (our third piece): z = 30.
We can try inputting all the things we know now. x + (2x) + 30 = 150. From here, we can find that x = 40. Since y is our second piece, y = 2x, so 2 x (40) = 80. The second piece would be 80 feet long. >
<u>Hope this helped! Feel free to ask anything else.</u>
