Answer:
x = -3 and x = -3/2
Step-by-step explanation:
After writing down the polynomial, split it; put a line between 3x^2 and -18x. Look and 2x^3 + 3x^2 and -18x - 27 separately and factor them both:
p(x) = 2x^3 + 3x^2 <u>- 18x -27</u>
p(x) = x^2(2x+3) <u>-9(2x+3)</u>
Now notice how x^2 and -9 have the same factor (2x+3). That means x^2 and -9 can go together:
p(x) = (x^2 - 9)(2x+3)
Factor it once more because there's a difference of squares:
p(x) = (x+3)(x-3)(2x+3)
Now just plug in whatever makes the each bracket equal 0:
x = -3, x = 3, and x = -3/2
Those are your zeros.
So, you need 10 penny, 4 nickles and 7 dimes
Lets, check it.
According to the question,
total coins = 21
7 + 4 + 10 = 21
21 = 21.........................................true
Now,
their value should equal $1.00 = 100 cents
Penny = 1 cent
nickle = 5 cent
dime = 10 cent,
So,
(10 *1) + (4 * 5) + (7 * 10) = 100
10 + 20 + 70 = 100
100 = 100......................................true
So, you need 10 penny, 4 nickle, and 7 dimes
Let the side of one square be x.
The maximum perimeter will be when the squares will be lined end to end.
This will be:
x + 9x + 9x + x
= 20x
The perimeter of the figures formed will be less than or equal to 20x.
The amount to be paid in rent after 2 years if the rent as of now is $3,000 will be; $3,213.675
The question allows that we choose the amount being paid as rent as of now.
Let the rent paid as of now be; $3,000
In essence; after the first year; the amount increases by 3.5% to become;
After the second year; we have;
Ultimately; the amount to be paid after 2 years will be; $3,213.675.
When given the opportunity to change rent contracts;
- A situation that will be beneficial would be a 3.5% reduction in rent per year
- A situation that will not be beneficial would be a 7% increase in rent per year.
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The balance was $4400.25 before 4 years.
<h3>What is an Equation?</h3>
An equation is a mathematical statement formed when two expressions are equated using an equal sign.
The equations are useful in the determination of unknown parameters.
The equations are of various types, such as Trigonometric equations, and quadratic equations.
The balance of an investment account is $308.32
Let the balance 4 years ago was $x
Then the balance today is represented by x + 308.32
The current balance is $4708.57
The expressions can be equated to get the value of the balance 4 years ago.
x + 308.32 = 4708.57
x = 4708.57 - 308.32
x = $4400.25
The balance 4 years ago was $4400.25
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