Answer:
See below, please!
Step-by-step explanation:
To multiply a whole number by a fraction, set up both numbers so that they have a numerator and denominator, multiply the corresponding parts, and simplify.
Ex: 
. Both of them are in fraction form, right? Now multiply the numerator and denominator together. Doing this, you get 16/6. Now simplify. Look for a common factor between both the numerator and denominator. We can see that one common factor is 2. So, our simplified fraction is 8/3.
Hope this helped!
1 Move all terms to one side.
{x}^{2}+15x+45=0
x
2
+15x+45=0
2 Use the Quadratic Formula.
x=\frac{-15+3\sqrt{5}}{2},\frac{-15-3\sqrt{5}}{2}
x=
2
−15+3
5
,
2
−15−3
5
3 Simplify solutions.
x=-\frac{3(5-\sqrt{5})}{2},-\frac{3(5+\sqrt{5})}{2}
x=−
2
3(5−
5
)
,−
2
3(5+
5
)
Critical points occur when
, which happens for
and
.
Check the sign of the second derivative at each critical point to determine the function's concavity at that point. If it's concave (
), then a maximum occurs; if it's convex (
), then a minimum occurs.
You have
and so
This means a maximum of
and a minimum of
.
Answer:
a). -6x³ - 12x² b). -12 c). 12
Step-by-step explanation:
a). (g x f)(x) can also equal f(g(x))
= f (2x +4)
= -3x² (2x+4)
= -6x³ - 12x²
b). f(g(-1))
g(-1) = 2(-1) + 4
= -2 + 4
= 2
f(2) = -3x²
= -3(2)²
= -12
c). g(h(3))
h(3) = 3x-1/2
= 3(3) - 1 / 2
= 4
g(4) = 2x + 4
= 2(4) + 4
= 12
Answer:
Multiplying by 7 should solve
Step-by-step explanation:
To isolate x and solve the equation you multiply both sides by 7. x/7 cancels out to just x and 5 becomes 35
