Answer:
See the graph attached
Step-by-step explanation:
Every minute = 3m
At time zero, the depth is zero
Giving coordinates of (0, 0)
At time 1 minute, the depth is 3m
Giving coordinates of (1, 3)
This gives a linear equation
Slope = Δy/Δx
= (3-0)/(1-0)
= 3/1
= 3
Take any general point (x, y)
The equation of the line is:
(y-0)/(x-0) = 3
y/x = 3
y = 3x
See the plot which goes up to a depth of 5m
Substitue y=3x+2 to the y in y=x+10.
3x+2= x+10
Subtract 2 to both sides.
3x=x+8
Subtract x to both sides.
2x=8
Divide both sides by 2
2x/2 = 8/2
You are left with x = 4
Choose one equation and replace x by 4.
y = (4) + 10
y= 14
Now, you have x = 4 and y= 14. So, your ordered pair is (4,14) because both lines pass through that point.
If you do not want to do this solution, I suggest you graph it using the slope.
We know that
The Standard Form<span> of a </span>Quadratic Equation<span> is
</span> ax²<span> + bx + c = 0
</span>
then
for x=0 y=-6
a*0² + b*0 + c = -6---------> c=-6
for x=1 y=2
a*1² + b*1 -6 = 2---------> a+b=8---------> a=8-b---------> equation 1
for x=3 y=-0
a*3² + b*3 -6 = 0---------> 9a+3b=6---------> equation 2
<span>substituting 1 in 2
9*(8-b)+3b=6------> 72-9b+3b=6---------> 6b=66--------> b=11
a=8-11-------> a=-3
so
a=-3
b=11
c=-6
</span>Standard Form of a Quadratic Equation is
-3x² + 11x - 6 = 0
<span>
the answer is
</span> -3x² + 11x - 6 = 0<span>
</span>
Answer:
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Step-by-step explanation:rjfnu4fburbf
