First understand that this is a linear graph. Find 2 points on the graph. We can use (0,1) and (3,-3).
Look at how much the x increases, in this case the x value increases by 0+3, so 3.
Then see how much the y value increases (make sure to evaluate them in the same order) 1 + (-3) = -2.
So you know that the y value decreases by 2 units for every 3 unit increase in x. Therefore the slope is y=(-2/3)x
Then figure out what you add to the end. The y intercept is (0,1), so add 1 to the end of y=(-2/3)x to move it up.
Your resulting eq is y=(-2/3)x+1
I believe it is A but i am not 100% sure
Answer:
<em>Parallel</em>
Step-by-step explanation:
The dotted lines are parallel because they have the same <u>gradient</u> to each other, this means the two dotted lines will <u>never</u> touch each other.
Have a great day <3
Answer: 3.675 seconds
Step-by-step explanation:
Hi, when the object hits the ground, h=0:
h=−16t^2+48.6t+37.5
0=−16t^2+48.6t+37.5
We have to apply the quadratic formula:
For: ax2+ bx + c
x =[ -b ± √b²-4ac] /2a
Replacing with the values given:
a=-16 ; b=48.6; c=37.5
x =[ -(48.6) ± √(-48.6)²-4(-16)37.5] /2(-16)
x = [ -48.6 ± √ 4,761.96] /-32
x = [ -48.6 ± 69] /-32
Positive:
x = [ -48.6 + 69] /-32 = -0.6375
Negative:
x = [ -48.6 - 69] /-32 = 3.675 seconds (seconds can't be negative)
Feel free to ask for more if needed or if you did not understand something.
Answer:
18225
Use the formula: .
A = final amount
P = initial amount invested
r = annual interest rate
t = time (in years)
Insert all values in appropriate places.
Simplify.
A=16200(1+(0.025)(6))
