Answer:
(13)
<u>x= 8</u>
<u>y=11</u>
(14)
<u>x= 20</u>
<u>y=20.75</u>
(15)
<u>x=9</u>
<u>y=13</u>
Step-by-step explanation:
(13) 8x-1 = 11x -25
24=3x
<u>x= 8</u>
8(8)-1 +15y-48= 180
15y=165
<u>y=11</u>
(14) 7x-44 + 4x + 4= 180
11x= 220
<u>x= 20</u>
4(20)+4+39= 8y-43
123=8y-43
166=8y
<u>y=20.75</u>
(15) 12x+1=15x-26
3x=27
<u>x=9</u>
28+15(9)-26+4y-9=180
4y=52
<u>y=13</u>
Answer:
no solutions
Step-by-step explanation:
The lines are parallel and never intersect. The solutions occur when the lines intersect, so there are no solutions
Answer:
y(x) = 7e^(5x)
Step-by-step explanation:
The question says that the slope of the curve at every point P is five times the y-coordinate of P. This means that
dy/dx = 5y
Refer to solutions of differential equations, dy/dt = ky, being in the form of y(t) = y(0) e^(kt)
Using the above stated law now, we can relate to our equation, saying that
y(x) = y(0) e^(5x)
The point given from the question is, (0, 7). This also means that y(0) = 7. So finally, we can have
y(x) = 7e^(5x)
And that is our needed equation of the curve
Answer:
(11, ∞).
Step-by-step explanation:
3 (x+2)+9<6(x-3)
3x + 6 + 9 < 6x - 18
-3x < -18 - 6 - 9
-3x < -33
x > 11 (Note the inequality flips as we are dividing by a negative value).
Yea that’s a nice graph i’d say looks a little fishy though
