Answer:
Considerations:
Also,
A positive number divided by a positive number results in a positive quotient, and its opposite is always negative.
The fraction 
can be described as a positive number divided by a negative number, which always result in a negative quotient.
The fractions have same value, so Liam is correct.
Answer:
10-x
Step-by-step explanation:
The difference of 10 and x is subtracting x from 10
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
-3(2^2) - 3(-1) + 3(3^2) - 2(-1^3)
-3(4) - 3(-1) + 3(9) - 2(-1)
-12 + 3 + 27 + 2
-9 + 27 + 2
18 + 2
20
Your question: The graph above shows a polynomial function with ___
<h3>
Answer: B, a polynomial function with an odd degree and a positive leading coefficient</h3>
Step-by-step explanation: If the degree of a polynomial f(x) is even and the leading coefficient is positive, then f(x) → ∞ as x → ±∞. ... If f(x) is an odd degree polynomial with positive leading coefficient, then f(x) →-∞ as x →-∞ and f(x) →∞ as x → ∞.
I hope this helps, mate!
