This is a differential equations problem. We are to work backwards and determine the function f(x) when given f "(x) and initial values.
<span>f ''(x) = 12x^2 + 6x − 4, when integrated with respect to x, yields:
x^3 x^2
f '(x) = 12------ + 6----- - 4x + C, or 4x^3 + 3x^2 - 4x + C, and
3 2
x^4 x^3 x^2
f(x) = 4------- + 3------- - 4------ + Cx + D, or f(x)=x^4 + x^3 - 2x^2 + Cx + D
4 3 2
Now, because f(0)=5, 5=0^4 + 0^3 -2(0)^2 + C(0) + D, so that D=5.
Determine D in the same manner: Let x=1 and find the value of C.
Then the solution, f(x), is x^4 + x^3 - 2x^2 + Cx + 5. Replace C with this value and then you'll have the desired function f(x).</span>
Hey i can’t see the picture, it’s too pixelated and like has lines all over it, maybe post it again if love to help :)
Answer:
The price of one jar of dipping sauce is $2.98
Step-by-step explanation:
Let
x ----> the price of one bag of chip
y ----> the price of one jar of dipping sauce
we know that
<em>Corinne</em>
----> equation A
<em>Ginger</em>
----> equation B
Solve the system of equations by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
The solution is the point (1.98,2.98)
see the attached figure
therefore
The price of one bag of chip is $1.98
The price of one jar of dipping sauce is $2.98
Answer:
The length in centimeters is (24-x) centimeters
Step-by-step explanation:
Mathematically, we are told that the equation linking the length, width and perimeter is as follows;
2(length) + 2(width) = 48
But in this case, we are told that the width is x centimeters
2(length) + 2(x) = 48
2(length) = 48-2x
length = (48-2x)/2
length = 24 - x
Answer:
symmetric property
Step-by-step explanation:
with symmetric property if x=y then both values on either side of the equal sign will be equal
