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chubhunter [2.5K]
3 years ago
15

Tion of your knowledge on the nature of roots:

Mathematics
1 answer:
MAXImum [283]3 years ago
3 0

Answer:

The roots are not real.

Step-by-step explanation:

To prove : The roots of  I/2 +9 (1-k) are real for all real values of k ?Solution :

The roots are real when discriminant is greater than equal to zero.

i.e b2-4ac>0 But the roots are imaginary therefore the roots of the given equation are not real for any value of k.If x²+kx+k=0, find the value of k, If the roots are real & equal.​

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I need a. Correct answer I will mark brainliest
Otrada [13]

Answer:

Option (A)

Step-by-step explanation:

By satisfying the equation of a function 'f' by each coordinates given in the options we can get the point which lies on the graph of f(x) = 2\times (5)^x

Option (A). (1, 10)

f(1) = 2\times (5)^1

10 = 10

True.

Therefore, point (1, 10) lies on the graph.

Option (B). (0, 10)

f(0) = 2\times 5^0

10 = 2

Not true.

Therefore, point (0, 10) doesn't lie on the graph.

Option (C). (10, 1)

f(10) = 2\times 5^{10}

1 = 19531250

Not true.

Therefore, point (10, 1) doesn't lie on the graph.

Option (D). (0, 0)

f(0) = 2\times 5^0

0 = 2

Not True.

Point (0, 0) doesn't lie on the graph.

Option (A) will be the answer.

4 0
3 years ago
What is , 12-1x0+4÷2???
kolbaska11 [484]
2 is the answer because if you subtract 12 to 1 it will be 11 and time by 0 and it will be 0 add by 4 and divide it by 2 and it will be 2.

8 0
4 years ago
Read 2 more answers
Find the area of the equilateral triangle
uranmaximum [27]

Answer:

Step-by-step explanation:

Suppose that the side length is s.  Imagine that one side is level.  Draw a vertical line through the top vertex perpendicular to the base (level side).  Label this vertical line "h."  Then h and s are related as follows:

                               √3          h

sin 60 degrees = ------- = --------

                                 2           s

                                                                   s√3

and so h = the height of the triangle =  -----------

                                                                       2

The area of this triangle is (1/2)(base)(height), which here is:

(1/2)(s/2)( s√3 /2), or

        (s^2)√3

A = ---------------

               8                                

8 0
3 years ago
Read 2 more answers
why do whole numbers raised to an exponent get greater while fractions raised to an exponent get smaller?
ehidna [41]
Any number above 1 gets greater, below 1 smaller (when above 0), while 1 itself remains the same. Negative numbers are more unpredictable.
8 0
3 years ago
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Identify the restrictions on the domain of f(x) = quantity x plus 5 over quantity x minus 2. x ≠ 5 x ≠ −5 x ≠ 2 x ≠ −2
horsena [70]

Answer: Third option.

Step-by-step explanation:

By definition, Rational Functions have the following form:

f(x)=\frac{P(x)}{Q(x)}

Where P(x) and Q(x) are polynomials.

The Restrictions of the Domain of Rational Functions are those Real numbers that make the denominator equal to zero, because the division by zero is not defined.

 In this case, you have the following Rational Function:

f(x)=\frac{x+5}{x-2}

The Restrictions of the Domain can be found applying this steps:

- Make the denominator equal to 0:

x-2=0

- Solve for "x":

x=2

Then, the Domain of this function includes all "x" not equal to 2.

Therefore,  the answer is:

x\neq 2

8 0
4 years ago
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