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3 years ago

Use the discriminante to determine the nature of the root of the following equation y^2-5y-3=0

Mathematics

1 answer:

katrin [286]3 years ago

8 0

Answer:

two distinct real roots

Step-by-step explanation:

The coefficients of the equation are ...

a = 1

b = -5

c = -3

So, the discriminant, b^2-4ac, has the value ...

(-5)^2 -4(1)(-3) = 25 +12 = 37

This number is positive, so the square root of it is non-zero and real. This means the two roots are real and distinct.

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Explain the steps in calculating the mean absolute deviation of a set of data.

Anni [7]

Answer:

Step-by-step explanation:

Step 1: Calculate the mean.

Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations.

Step 3: Add those deviations together.

Step 4: Divide the sum by the number of data points.

7 0

3 years ago

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Fill in the blanks with two consecutive integers to complete the following inequality.

Eva8 [605]

Answer:

Step-by-step explanation:

You know that 134 is between 11^2 and 12^2 which is 121 and 144.

So the two integers would be 11 and 12

Hope this helps :)

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2 years ago

Lars deposited $50 into a savings account for which interest is compounded quarterly. According to the rule of 72, what interest

Ivanshal [37]

Answer: C 2.5%

Step-by-step explanation:

The "Rule of 72" is a easy way to calculate how much time an investment will take to double with a given fixed annual rate of interest.

Just we have to divide 72 by the annual rate of return(r), we can get a rough estimate of how many years it will take to double the initial investment .

Now, in given problem: Let 'r' be the rate of interest

Time to double the amount=29 years

Thus by rule 72 ,

$\frac{72}{r}=29\\\Rightarrow\ r=\frac{72}{29}=2.4827\%\approx2.5\%$

Therefore, C is the right option.

3 0

3 years ago

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Find the area of a circle with the circumference 18(pi)

JulsSmile [24]

Answer:

D 81 pi units^2

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

18 pi = 2 * pi *r

Divide each side by 2 * pi

18 pi / (2 pi) = 2 pi * r/ (2 pi)

9 = r

Now we can find the area. Area is given by

A = pi r^2

A = pi * 9^2

A = 81 pi units^2

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3 years ago

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padilas [110]

She owes in total 40$ in total but seprate

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3 years ago