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zlopas [31]
2 years ago
12

For which positive integer values of $k$ does $kx^2+20x+k=0$ have rational solutions? Express your answers separated by commas a

nd in increasing order.
Mathematics
1 answer:
Musya8 [376]2 years ago
3 0

Answer:

-10,10

Step-by-step explanation:

The given quadratic equation is

k {x}^{2}  + 20x + k = 0

The discriminant of this equation is given by;

D =  {b}^{2}  - 4ac

where a=k, b=20, c=k

For rational solutions, the discriminant must be zero.

{20}^{2}  - 4 \times k \times k = 0

Simplify to get:

400 - 4  {k}^{2}  = 0

This implies that:

400  = 4  {k}^{2}

100 =  {k}^{2}

Take square root to get:

k =   \pm\sqrt{100}

k =  \pm10

k =  - 10 \: or \: k = 10

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Minchanka [31]
I think you got to multiply the numbers hopefully I helped
5 0
2 years ago
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The population of a town after t years is represented by the function f(t)=7,248(0.983)tf(t)=7,248(0.983)t.
lidiya [134]

Answer:

The population of the town is 0.983 times the population of the town in the previous year.

B is correct.

Step-by-step explanation:

We are given a function which represent population of a town after t years.

f(t)=7248(0.983)^t

It is an exponential function. Exponential function wither decease or increase it depends on factor.

y=a\cdot b^x

b is factor which decides factor of exponential function decrease or increase.

  • If b >1 then function increase
  • If 0<b<1 then function decrease.

If we see our problem f(t)=7248(0.983)^t

Here, b=0.983<1

Function would be decrease by factor of 0.983

Thus, The population of the town is 0.983 times the population of the town in the previous year.

7 0
2 years ago
Read 2 more answers
How do you show work for "What is the standard form for 20,000+80,000+700+6?
olya-2409 [2.1K]

I think you should re-check the question because you might have made a typo.

3 0
3 years ago
Question<br> Translate and solve: Twelve less than x is equal to 51. Enter the equation
mafiozo [28]

Answer:

x = 63

Step-by-step explanation:

From the question, we can deduce the following points;

- 12 less than x which simply means 12 subtracted from x.

- the value of the above expression is equal to 51.

Translating the word problem into an algebraic expression, we have;

x - 12 = 51

Rearranging the equation (collecting like terms), we have;

x = 51 + 12

x = 63

6 0
3 years ago
Can you name the trigonometric expression that is equivalent to the following expression 1/secant of x?
Arlecino [84]
The answer to your question is:  Yes, I can.


You haven't asked for the trigonometric expression, but here it is anyway:

The  <u>cosine</u>  function is the reciprocal of the secant function.
8 0
3 years ago
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