What is the quotient (x3 – 3x2 + 3x – 2) ÷ (x2 – x + 1)?
2 answers:
We have to calculate the result of the division problem.
To determine the result, long division will be employed.
)
Initially, we quotient with x since fits into
, x times.
Thus, we have:
)
(x
After subtraction, we obtain:
We can see that fits into
, -2 times; therefore, the next addition to the quotient will be -2. This results in a final quotient of (x-2).
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Response:
The measure of mHLK is "(204)°".
Step-by-step breakdown:
Given values include:
mJI = (3x+2)°
mHLK = (15x-36)°
and,
m∠HML = (8x-1)°
then,
What is mHLK?
Now,
Utilizing the chord-chord angle formula, we find
Inserting the known values into the equation gives us
⇒
By carrying out cross-multiplication, we arrive at
⇒
⇒
By subtracting "18x" from both sides, we obtain
⇒
⇒
Upon adding "2" to both sides, we end up with
⇒
⇒
⇒
⇒
By substituting the value of "x" into mHLK = (15x-36)°, we calculate
⇒ (15x-36)° = (15×16-36)°
⇒ = (240-36)°
⇒ = (204)°
Thus, mHLK = (204)°
Response:
$3,000
Detailed breakdown:
This scenario is centered around compound interest, with the formula for compound interest defined as
Provided Data
A = final amount =?
P = initial principal balance = $2,500
r = interest rate = 2.1%= 0.021
t = number of time units passed= 14 years
By inserting our data into the compound interest equation, we can determine the final amount
Therefore, rounding to the nearest hundred gives us an account balance of $3,000