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
9514 1404 393
Answer:
C. 2c+12
Step-by-step explanation:
"12 more than 2 times the number of cats" means "12 + 2c", where c is the number of cats.
To get 2 times, we multiply by 2. To get 12 more, we add 12.
$630
The total perimeter is 42 and 42x15=630
Answer:
regular a polygon is: c, e, a
irregular is: b
not a polygon is f, d
Step-by-step explanation:
Regular is a normal shape which has angles
Irregular has straight lines all the way.
Not a polygon has not straight lines and sometimes has a gap in between the lines.
Hope this helps.
<h3>Given</h3>
... f(x) = x² -4x +1
<h3>Find</h3>
... a) f(-8)
... b) f(x+9)
... c) f(-x)
<h3>Solution</h3>
In each case, put the function argument where x is, then simplify.
a) f(-8) = (-8)² -4(-8) +1 = 64 +32 + 1 = 97
b) f(x+9) = (x+9)² -4(x+9) +1
... = x² +18x +81 -4x -36 +1
... f(x+9) = x² +14x +46
c) f(-x) = (-x)² -4(-x) +1
... f(-x) = x² +4x +1
