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Nataly [62]
2 years ago
15

What is an easy way to find 2% of 660?

Mathematics
1 answer:
Aleks [24]2 years ago
5 0
You would do .02 times 660 which gives you 13.2
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The function f(x) = x3 – 8x2 + x + 42 has zeros located at 7, –2, 3. Verify the zeros of f(x) and explain how you verified them.
xeze [42]

Answer:

  • zeros are {-2, 3, 7} as verified by graphing
  • end behavior: f(x) tends toward infinity with the same sign as x

Step-by-step explanation:

A graphing calculator makes finding or verifying the zeros of a polynomial function as simple as typing the function into the input box.

<h3>Zeros</h3>

The attachment shows the function zeros to be x ∈ {-2, 3, 7}, as required.

<h3>End behavior</h3>

The leading coefficient of this odd-degree polynomial is positive, so the value of f(x) tends toward infinity of the same sign as x when the magnitude of x tends toward infinity.

  • x → -∞; f(x) → -∞
  • x → ∞; f(x) → ∞

__

<em>Additional comment</em>

The function is entered in the graphing calculator input box in "Horner form," which is also a convenient form for hand-evaluation of the function.

We know the x^2 coefficient is the opposite of the sum of the zeros:

  -(7 +(-2) +3) = -8 . . . . x^2 coefficient

And we know the constant is the opposite of the product of the zeros:

  -(7)(-2)(3) = 42 . . . . . constant

These checks lend further confidence that the zeros are those given.

(The constant is the opposite of the product of zeros only for odd-degree polynomials. For even-degree polynomials. the constant is the product of zeros.)

3 0
2 years ago
The sale amount is 1,250.00, 5% sales tax.
Marina CMI [18]

Answer:

1250*.05=62.5. Then just add it to the amount for the total dollars shw needs to spend with tax

Step-by-step explanation:

7 0
3 years ago
Veronica is self employed. In one year, Veronica generates a gross income of $65,500. When calculating her taxes, Veronica is al
butalik [34]

Answer:

$44,850

Step-by-step explanation:

Gross income is $65,500

Allowable deductions are $2,500

Operating income is $65,500-$2,500=$63,000

From the given tax structure, Veronia will pay 15% for the first $25,000 then 30% for $63,000-$25,000=$38,000

Tax will be (0.15*$25,000)+(0.3*$38,000)=$15,150

Remaining expenses will be $5,500-$2,500=$3,000

Income after tax will be $63,000-$15,150=$47,850

Net income=$47,850-$3,000=$44,850

<u>Ans=$44,850</u>

7 0
3 years ago
What is the product of the 6th square number and the 5th square number?
lukranit [14]

Answer:

900.

Step-by-step explanation:

The first 6 square numbers are 1, 4, 9, 16, 25, 36,

The required product is 25 * 36

= 900.

8 0
3 years ago
Factor the following polynomials by grouping:<br> ax+ay+bx + by −cx−cy
Eddi Din [679]

Answer:

(a + b -c) x (x +y )

Step-by-step explanation:

Firstly, factor out x from the expression

Then, factor out the y from the expression

8 0
2 years ago
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