MATHEMATICS COLLEGE

Find the zeros of the function
k(x) = -5x² - 125
The zeros of k are x= □ and x= □​

Answers

Answer 1
Answer:

Answer:

x = ±5i

General Formulas and Concepts:

Pre-Alg

  • Order of Operations: BPEMDAS

Alg II

  • √-1 is imaginary number i

Step-by-step explanation:

Step 1: Define function

k(x) = -5x² - 125

Step 2: Find roots

  1. Set function equal to 0:                    0 = -5x² - 125
  2. Factor out -5:                                     0 = -5(x² + 25)
  3. Divide both sides by -5:                    0 = x² + 25
  4. Subtract 25 on both sides:               -25 = x²
  5. Rewrite:                                              x² = -25
  6. Square root both sides:                     x = ±√-25
  7. Rewrite:                                              x = √-1 · ±√25
  8. Evaluate:                                             x = ±5i

Related Questions

A certain human red blood cell has a diameter of 0.000007 meters which expression represents this diameter in meters in scientific notation
Twenty percent of the town's population is over the age of 65. If there are 320 residents over the age of 65, what is the town's total population?
MATH PLEASE HELP ASAP
A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within 0.03 with 90% confidence if (a) she uses a previous estimate of 0.34?(b) she does not use any prior estimates? n=_____(Round up to the nearest integer.)
Sin 64degrees=cos x what is the value of x?

Solve 2cos^2x+3sinx=0

Answers

Answer:

x = {\sin^( - 1) 2} \: \: or \: \: x = (7\pi)/(6), \: \: (5\pi)/(3)

Step-by-step explanation:

2 { \cos}^(2) x + 3 \sin x = 0 \n 2 {(1 - \sin}^(2) x) + 3 \sin x = 0 \n 2 - 2 \sin^(2) x+ 3 \sin x = 0 \n 2 \sin^(2) x - 3 \sin x - 2 = 0 \n 2 \sin^(2) x - 4\sin x + \sin x- 2 = 0 \n 2\sin x(\sin x - 2) + 1(\sin x - 2) = 0 \n (\sin x - 2)(2\sin x + 1) = 0 \n (\sin x - 2) = 0 \: or \: (2\sin x + 1) = 0 \n \sin x = 2 \: or \: 2\sin x = - 1 \n x = {\sin^( - 1) 2} \: \: or \: \: \sin x = - (1)/(2) \n x = {\sin^( - 1) 2} \: \: or \: \: x = (7\pi)/(6), \: \: (5\pi)/(3)

Each of the following tables defines a relationship between an input x and an output y. Which of the relationships represent functions? Table A x -8 -3 0 6 y 24 4 9 72 Table B x 9 15 24 38 y -14 -16 53 29 Table C x 15 24 24 100 y -16 53 29 7 Table D x -8 6 0 6 y 24 4 9 72 a. Table A and Table C b. Table A and Table B c. Table B and Table C d. Table C and Table D Please select the best answer from the choices provided

Answers

The relationship representing the function as per the input and output value is given by option b. Table A and Table B.

In order for a relationship between an input x and an output y to represent a function,

each input value x must be associated with exactly one output value y. Let's analyze the given tables:

Table A:

x -8 -3 0 6

y 24 4 9 72

Table B:

x 9 15 24 38

y -14 -16 53 29

Table C:

x 15 24 24 100

y -16 53 29 7

Table D:

x -8 6 0 6

y 24 4 9 72

Let's examine the options:

a. Table A and Table C: Table A represents a function because each x value corresponds to a unique y value.

Table C has duplicate x values, which means it doesn't represent a function.

b. Table A and Table B: Both Table A and Table B represent functions because each x value is associated with a single unique y value in both tables.

c. Table B and Table C: Table B does not represent a function

because the x value 24 is associated with two different y values (-16 and 53) in Table B.

Table C does not represent a function either because of the duplicate x value 24.

d. Table C and Table D: Similar to options a and c,

Table C does not represent a function due to duplicate x values.

Table D represents a function as each x value is associated with a unique y value.

Therefore, based on the analysis above, the correct answer for the function is option b. Table A and Table B.

Learn more about function here

brainly.com/question/31062578

#SPJ3

Answer: is B. table A and Table B

Step-by-step explanation:

Mrs. Gregory, the golf course superintendent at a country club, plans to reseed the putting green of the first hole. The circular putting green has a diameter of 38 ft.What is the area of the putting green?

Use π=3.14. Round to the nearest tenth

Answers

Answer:

The area of the putting green is 1133.5 square feet.

Step-by-step explanation:

Area of a circle:

The area of a circle is given by:

A = \pi r^2

In which r is the radius, which is half the diameter.

The circular putting green has a diameter of 38 ft.

This means that r = (38)/(2) = 19

What is the area of the putting green?

A = \pi r^2 = 3.14 * 19^2 = 1133.5

The area of the putting green is 1133.5 square feet.

Answer:

1133.5 is the answer.

Step-by-step explanation:

Hope its right

It worked for me

Need help on this not sure about it

Answers

Answer:

thinks it's the second one

Step-by-step explanation:

11-4=7

135-5=130

Which table represents a function?

Answers

Answer:

The bottom left table

Step-by-step explanation:

the same x value cannot have different y values

Evaluating Logarithms In Exercise, evaluate the logarithm without using a calculator.log4 1/64

Answers

Answer:-3

Step-by-step explanation:

Log4 1/64

=log4 4^-3

=-3
Other Questions
Which statement is true about this argument?Premises:If two angles form a linear pair, then they are supplementary.If two angles are supplementary, then the sum of their measures is 180∘.Conclusion:If two angles form a linear pair, then the sum of their measures is 180∘.A The argument is valid by the law of detachment.B The argument is valid by the law of syllogism.C The argument is not valid because the conclusion does not follow from the premises.D The argument is not valid because the premises are not true.
Five thirds divided by seven thirds can be solved using which of the following
What the volume of the figure
If a number is increased by 20% then the number is 24 find the number