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Andru [333]
2 years ago
10

9. Write a polynomial function in factored form with zeros at -2, 5, and 6.

Mathematics
1 answer:
Amanda [17]2 years ago
8 0

Answer:

f(x) = ( x+2)(x-5)(x-6)

Step-by-step explanation:

We can write the equation with zeros at b1,b2,b3

f(x) =a( x-b1)(x-b2)(x-b3)  where a is a constant and b1 b2 b3 are the zeros

f(x) = a( x- -2)(x-5)(x-6)

f(x) = a( x+2)(x-5)(x-6)

We can choose a since we are not given any more information about the function.  Let a = 1

f(x) = 1( x+2)(x-5)(x-6)

f(x) = ( x+2)(x-5)(x-6)

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The factorization of 8x3 -125 is (2x-5)(jx2 +kx+25)
lbvjy [14]

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3 0
3 years ago
A survey reported in Time magazine included the question ‘‘Do you favor a federal law requiring a 15 day waiting period to purch
galben [10]

Answer:

Step-by-step explanation:

Confidence interval for the difference in the two proportions is written as

Difference in sample proportions ± margin of error

Sample proportion, p= x/n

Where x = number of success

n = number of samples

For the men,

x = 318

n1 = 520

p1 = 318/520 = 0.61

For the women

x = 379

n2 = 460

p2 = 379/460 = 0.82

Margin of error = z√[p1(1 - p1)/n1 + p2(1 - p2)/n2]

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.025 = 0.975

The z score corresponding to the area on the z table is 1.96. Thus, confidence level of 95% is 1.96

Margin of error = 1.96 × √[0.61(1 - 0.61)/520 + 0.82(1 - 0.82)/460]

= 1.96 × √0.0004575 + 0.00032086957)

= 0.055

Confidence interval = 0.61 - 0.82 ± 0.055

= - 0.21 ± 0.055

3 0
2 years ago
One-fourth of the sum of 6 and 2 times c exceeds 3.
Sergeeva-Olga [200]
1/4(6 + 2c) > 3
0.25 (6+ 2c) > 3
1.5 + 0.5c > 3
0.5c > 1.5
c > 3

Or multiply both sides by 4 to get rid of the 1/4,
6 + 2c > 12
2c > 6
c >3
4 0
3 years ago
The equation 2x² + 2y2 – 8x - 12y + 16 = 0 defines a circle.
mixas84 [53]

Answer:

  C, E

Step-by-step explanation:

Here, we want to change the equation of a circle from general form to standard form. This is done by making the leading coefficients 1, completing the squares, and then rewriting the equation in standard form.

The leading coefficients of the given equation are 2, so we first want to divide by 2. This gives ...

  x² +y² -4x -6y +8 = 0

Subtracting 8 puts us in better position to complete the squares.

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Now, we can add the squares of half the coefficients of the linear terms.

  (x² -4x +4) +(y² -6x +9) = -8 +13 . . . . . . matches C

And we can simplify this to the standard form equation:

  (x -2)² +(y -3)² = 5 . . . . . matches E

3 0
2 years ago
How long does it take to double $1000 at an annual interest rate of 6.35% compounded monthly?
KatRina [158]

Answer:

63.5

Step-by-step explanation:

1000× 6.35 / 100 = 63.5

3 0
2 years ago
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