The value of x such that f(x) = g(x) is x = 3
<h3>Quadratic equation</h3>
Given the following expressions as shown
f(x) = x^3-3x^2+2 and;
g(x) = x^2 -6x+11
Equate the expressions
x^3-3x^2+2 = x^2 -6x+11
Equate to zero
x^3-3x^2-x^2+2-11 = 0
x^3-3x^2-x^2 + 6x - 9 = 0
x^3-4x^2+6x-9 = 0
Factorize
On factorizing the value of x = 3
Hence the value of x such that f(x) = g(x) is x = 3
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Answer:

Step-by-step explanation:
The volume of a box is equal to the length l times the width w times the height h.

Substitute the values of the length l=8, the width w=2, and the height h=4 into the formula.

Multiply 8 by 2.

Multiply 16 by 4.

Hence, the volume of the rectangle prism is 64(in)³.
Answer:

Step-by-step explanation:
Given: sin x + cos x
To change the given trigonometry expression in term of sine only.
Trigonometry identity:-
Expression: 
We get rid of cos x from expression and write as sine form.
Expression:

Hence, The final expression is only sine function.
Answer:
Area of a triangle formula is 1/2 x base x height
Area of the garden = 1/2 x 25 x 10 = 125 square feet.
1 bag covers 10 square feet, divide total area by 10"
125 / 10 = 12.5
She will need to buy 13 bags.