The expression given as x³ + 4x² - 3x + 1 cannot be factored
<h3>How to determine the factor the
expression?</h3>
From the question, we have the following expression that can be used in our computation:
x³ + 4x² - 3x + 1
The above expression is a polynomial expression
The number of terms in the expression is 4
This means that, when the terms are grouped in twos, we should be above to factor the expression
[x³ + 4x²] - [3x - 1]
However, this is not the case because [x³ + 4x²] and [3x - 1] or any other combination do not have common factor
So, it is better to leave the expression without changing its form
Hence. x³ + 4x² - 3x + 1 cannot be further factored
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You divide 162 and it equals to 81
Answer: Option B is the correct answer.
Step-by-step explanation:
Let x represent the number of pennies.
Out of 40 coins, 16 are dimes. This means that the number of coins remaining is
40 - 16 = 24
Half of the remaining coins are quarters. This means that the number of quarters is
1/2 × 24 = 12 quarters
the rest are pennies and nickels. This means that the total number of
pennies and nickels is 12
There are 2 nickels for every penny. This means that the number if nickels is 2x. Therefore,
2x + x = 12
3x = 12
x = 12/3 = 4
there are 4 pennies
Since the denominators are unequal, we find the L.C.M (lowest common multiple) for both denominators.
The L. C. M for 7 and 8 is 56.
Now,
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Now that the denominators are equal, we can add them.
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Therefore, the numerator is and the denominator is .
Answer:
After 11 weeks, Darnell′s savings account will have a total of $8,360.
Step-by-step explanation:
The data provided is as follows:
n: 1 2 3 4
f (n): 260 360 460 560
Consider the data for f (n).
The series f (n) follows an arithmetic sequence with a common difference of 100 and first term as 260.
The nth term of an arithmetic sequence is:
Compute the value of f (11) as follows:
Thus, after 11 weeks, Darnell′s savings account will have a total of $8,360.