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makvit [3.9K]
2 years ago
15

1.      If α and β are the zeroes of a polynomial such that α + β = -6 and αβ = 5, then find the polynomial. ​

Mathematics
1 answer:
creativ13 [48]2 years ago
6 0

Answer:

{x}^{2}   + 6x + 5

Step-by-step explanation:

Required polynomial

{x}^{2}  - ( \alpha  +  \beta )x +  \alpha  \beta  \\  \\  =  {x}^{2} - ( - 6)x + 5 \\  \\  =  {x}^{2}   + 6x + 5

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I REALLY NEED HELP QUICK!
Leni [432]

Answer:

y=1/2x-5

Step-by-step explanation:

From the picture you can see that (0, -5) is a point on the function and that (2, -4) is another point. Using these you can find the slope of the function with the equation

(y_{2} -y_{1})/(x_{2}-x_{1} )

We can substitute in the points so it looks like

(-4--5)/(2-0)  or  1/2 which is the slope of the function

Now, since the y-intercept is (0, -5) on the graph, the b part in the slope-intercept form of the equation would be -5, leaving us with the equation y=1/2x-5

4 0
3 years ago
8th grade math probability
kari74 [83]
In problem 16 I think the answers is b
3 0
3 years ago
karen brought 3/8 of a gallon of ice tea to a party. Robin brought 15/16 of a gallon of ice tea to the same party. How much ice
Rudiy27

Answer:

1  5/16 gallon

Step-by-step explanation:

Gallon of ice brought by Karen = 3/8

Gallon of ice brought by Robin = 15/16

Total ice team brought by them is sum of Gallon of ice brought by Karen + Gallon of ice brought by Robin

Total ice team brought by Karen and Robin = 3/8 + 15/16

=>  3*2/8*2 + 15/16

we are multiplying with 2 both numerator and denominator in 3/8 so sas the denominator becomes 16 as in other fraction denominator is 16

=> 6/16 + 15/16

=> (6+15)/16 = 21/16

since 21/16 is improper fraction, converting it in mixed fraction we have

21/16 = 1  5/16 gallon

Thus , Karen and Robin have 1  5/16 gallon ice tea together.

7 0
3 years ago
How many times greater is the volume of the sphere than the volume of cone #1? Round your answer to the neared tenth. Use 3.14 f
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7 0
3 years ago
What is the rational number equivalent to 3.24​
aev [14]

Answer:

The rational number equivalent to 3.24 repeating is 321/99

Step-by-step explanation:

To convert the decimal number to a rational number we can state this number and its multiples of 10, trying to find two number with identical decimal parts:

n=3.24242424...

10n=32.4242424....

100n=324.2424242...

Now, 100n and n have the same decimal part, then by subtracting these numbers we obtain:

100n-n=324.24242424...-3.24242424... = 321

99n  = 321

n = 321/99

8 0
3 years ago
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