Answer:
43 out of 120 have zips
Step-by-step explanation:
because
X^2 + 3x = 24
completing the square
(x + 1.5)^2 - 2.25 = 24
(x + 1.5)^2 = 26.25
x + 1.5 = +/- sqrt26.25 = +- 5.123
x = -1.5 + 5.123 = 3.62 to nearest hundredth and
x = -1.5 - 5.123 = -6.62 to nearest hundredth
solution set is {-6.62, 3.62}
Answer:
The answer is D) zero
Step-by-step explanation:
Try by getting a ruler and drawing these out. if none can reach then it makes none. If you dont have a ruler than try estimating the lines.
Also look at this picture. It should help explain. I am sorry if I am not correct... but I am 99% sure this is true lol
Answer:
a. y= e raise to power y
c. y = e^ky
Step-by-step explanation:
The first derivative is obtained by making the exponent the coefficient and decreasing the exponent by 1 . In simple form the first derivative of
x³ would be 2x³-² or 2x².
But when we take the first derivative of y= e raise to power y
we get y= e raise to power y. This is because the derivative of e raise to power is equal to e raise to power y.
On simplification
y= e^y
Applying ln to both sides
lny= ln (e^y)
lny= 1
Now we can apply chain rule to solve ln of y
lny = 1
1/y y~= 1
y`= y
therefore
derivative of e^y = e^y
The chain rule states that when we have a function having one variable and one exponent then we first take the derivative w.r.t to the exponent and then with respect to the function.
Similarly when we take the first derivative of y= e raise to power ky
we get y=k multiplied with e raise to power ky. This is because the derivative of e raise to a constant and power is equal to constant multiplied with e raise to power y.
On simplification
y= k e^ky
Applying ln to both sides
lny=k ln (e^y)
lny=ln k
Now we can apply chain rule to solve ln of y ( ln of constant would give a constant)
lny = ln k
1/y y~= k
y`=k y
therefore
derivative of e^ky = ke^ky
