First we rewrite the expression:
(4x ^ 3) * (2x) ^ - 4
Using properties of exponents we have:
(4x ^ 3) / (2x) ^ 4
Rewriting:
(4x ^ 3) / 16x ^ 4
(x ^ 3) / 4x ^ 4
(1) / (4x)
answer:
An equivalent expression is:
(1) / (4x)
option 1
Answer:
Function 1 written in vertex form is f(x) = -x^2 + 8x - 15 = -(x^2 - 8x + 15) = -(x^2 - 8x + 16 + 15 - 16) = -(x - 4)^2 - (-1) = -(x - 4)^2 + 1
Therefore, vertex = (4, 1)
Function 2 written in vertex form is f(x) = -x^2 + 4x + 1 = -(x^2 - 4x - 1) = -(x^2 - 4x + 4 - 1 - 4) = -(x - 2)^2 - (-5) = -(x - 2)^2 + 5
Therefore vertex = (2, 5)
Function 1 has a maximum at y = 1 and function 2 has a maximum at y = 5. Therefore, function 2 has a larger maximum.
Step-by-step explanation:
Answer:
x= 3/4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
5x−2(x+1)=
1
/4
5x+(−2)(x)+(−2)(1)=
1
/4
(Distribute)
5x+−2x+−2=
1
/4
(5x+−2x)+(−2)=
1
/4
(Combine Like Terms)
3x+−2=
1
/4
3x−2=1
/4
Step 2: Add 2 to both sides.
3x−2+2=
1
/4
+2
3x=
9
/4
Step 3: Divide both sides by 3.
3x/
3
=
9
/4
/3
x=
3
/4
Answer:
y-4=-5/4(x-(-4))
Step-by-step explanation:
Slope form is y-y1=m(x-x1)
X1and Y1 are a point on the line and M is the slope
