The coefficient of (3y² + 9)5 is <u>15</u>.
A polynomial is of the form a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² + ... + aₙ₋₁x + aₙ.
Here, x is the variable, aₙ is the constant term, and a₀, a₁, a₂, ..., and aₙ₋₁, are the coefficients.
a₀ is the leading coefficient.
In the question, we are asked to identify the coefficient of (3y² + 9)5.
First, we expand the given expression:
(3y² + 9)5
= 15y² + 45.
Comparing this to the standard form of a polynomial, a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² + ... + aₙ₋₁x + aₙ, we can say that y is the variable, 15 is the coefficient, and 45 is the constant term.
Thus, the coefficient of (3y² + 9)5 is <u>15</u>.
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Answer:
(n-7) ≤ 95
Step-by-step explanation:
We need to write the expression for the given statement.
Seven less than the product of a number n and 1 means (n-7).
It is no more than 95. No more than 95 means less than or equal to i.e.
(n-7) ≤ 95
Hence, the above inequality shows the given statement.
Answer:
There will be an $800 loss
Step-by-step explanation:
The initial cost of the asset is $14,400
When an asset depreciates, it loses its potential value over time. In this case, the total depreciation of our asset is given as $8,000.
The Current value of the asset = Initial Value - Accumulated Depreciation
Current value = $14,400 - $8,000 = $6,400
Since the asset is sold for $5,600, it is clear that this is a loss, as the selling price of $5,600 is less than the actual price of $6,400. So,
Loss = Actual (Cost) Price - Selling Price = $6,400 - $5,600 = $800