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Aleks [24]
2 years ago
11

Determine the zeros of f(x)=x^3+7x^2+10x-6

Mathematics
1 answer:
igor_vitrenko [27]2 years ago
4 0
Hello,
x^3+7x^2+10x-6=x^3+3x^2+4x^2+12x-2x-6
=x²(x+3)+4x(x+3)-2(x+3)
=(x+3)(x²+4x-2)
=(x+3)(x+2-√7)(x+2+√7)

zeroes={-3,-2+√7,-2-√7}

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5 0
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The diameter of a flour tortilla is 12 inches. What is the total area of two tortillas to the nearest hundredth?
olga2289 [7]

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the insurance company pays the forecast of 3900 prescriptions claims out of 4500 prescription claims submitted what is the rate
nadya68 [22]

Answer:

x=0.87  or   86.67%

13 prescription claims out of 15 are paid

Step-by-step explanation:

First we organize the data:

prescription claims submitted: 4500

Prescriptions: 3900

The rate of claims paid is calculated using the following formula:

x =\frac{Paid}{Total}

We know that:

Paid = 3900

Total = 4500

So

x =\frac{3900}{4500}

x =\frac{39}{45}

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6 0
3 years ago
(-6,-4) and is parallel to the line x+6y=12
HACTEHA [7]

Answer: y = -\frac{1}{6}x-5

Step-by-step explanation:

x+6y=12

6y=-x+12

y=-\frac{x}{6} + 2

If its parallel it means that the slope will be the same

y = mx + b

-4 = -1/6 * (-6) + b

b = -5

Thus,

y = -1/6 x - 5

6 0
3 years ago
The sum of 4 consecutive integers is 198. What is the fourth number in this sequence.
Georgia [21]
Let x, x+1,x+2, x +3 are the <span>numbers
so
</span>x + x +1 + x +2 +x +3 = 198
4x + 6 = 198
4x =198-6
4x = 192
 x = 192/4
 x = 48
 x + 1 = 48 + 1 = 49
 x + 2 = 48 + 2 = 50
 x + 3 = 48 + 3 = 51

proof
48 + 49 + 50 + 51 = 198

so the numbers are 48, 49, 50, 51

fourth number in this sequence is 51
7 0
3 years ago
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