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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Hi there!
To split 90 kilos in the ratio of 2 : 3 : 7 we must first realise that we have a total of 2 + 3 + 7 = 12 parts, in which we must split the total 90 kilos.
12 parts equal 90 kilo, and therefore
1 part equals 90 / 12 = 7.5 kilos.
1 part equals 90 / 12 = 7.5 kilos, and therefore
2 parts equal 7.5 × 2 = 15 kilos.
1 part equals 90 / 12 = 7.5 kilos, and therefore
3 parts equal 7.5 × 3 = 22.5 kilos.
1 part equals 90 / 12 = 7.5 kilos, and therefore
7 parts equal 7.5 × 7 = 52.5 kilos.
Hence, 90 kilos in the ratio of 2 : 3 : 7
gives 15 kg, 22.5 kg and 52.5 kg.
~ Hope this helps you!
Answer:
No
Step-by-step explanation:
You want to calculate the interest on $550 at 2.1% interest per year after 4 years.
The formula we'll use for this is the simple interest formula, or:
I = P x r x t
P is the principal amount, $550.00.
r is the interest rate, 2.1% per year, or in decimal form, 2.1/100=0.021.
t is the time involved, 4 years.
So, t is 4 year time periods.
To find the simple interest, we multiply 550 × 0.021 × 4 to get that:
The interest is: $46.20
