We have that
case 1)<span>system of equations is
</span><span>y=−12x−1
y=14x−4
using a graph tool
see the attached figure
the solution of the system is the point (0.115,-2.385)case 2)
</span>system of equations is
<span>blue line passing through coordinates A (0, -4) and B (4, -3)
</span><span>red line passing through coordinates C(0, -1) and D (4, -3)
</span>using a graph tool
see the attached figure
the solution of the system is the point (4,-3)<span>
</span>
<span>18 - 2t = 12 - 0.5t
6 = 1.5t
t = 6/1.5
t = 4 hours
time required to have the same height = 4hours
At what time ?
answer : at 10pm
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12inch candle lasts longer ..</span>
There are 3 in. of snow on the ground when it begins to snow 0.5 in./h.
Initial depth of snow = 3 in.
it begins to snow 0.5 in./h. The constant rate of snow is 0.5. So slope = 0.5
Let x be the number of hours
y be the total depth of the snow
To frame linear equation we use y=mx+b
where m is the slope and b is the y intercept (initial depth of snow)
We know m=0.5 and b=3
Replace it in the equation
y = 0.5x + 3
The linear equation that represents the total depth of the snow(y), in inches, after x hours
is y= 0.5x + 3
Answer:B
Step-by-step explanation:
The curve cuts the x-axis at points x=3/2 and x=3
F(x)= ((x-3/2)(x-3)
=x2-3x-3x/2+9/2
2x2-6x-3x+9
=2x2-9x+9
The answer would be 21,000,000.00