MATHEMATICS HIGH SCHOOL

Which value of x is a solution to this equation?2x^2 − 4x +16 = 0



x = 3

x=2

x = -2

Answers

Answer 1
Answer:

Answer:

Solve the equation:

  • 2x² − 4x + 16 = 0
  • x² - 2x + 8 = 0
  • x² - 2x + 1 + 7 = 0
  • (x - 1)² + 7 = 0
  • (x - 1)² = -7

There is no solution as the square of the number can't be negative

----------------------------

Note if the equation was 2x² - 4x - 16 = 0, the solution would be:

  • 2x² - 4x -  16 = 0
  • x² - 2x - 8 = 0
  • x² - 2x + 1 = 9
  • (x - 1)² = 3²
  • x - 1 = ± 3
  • x = -2, x = 4

In this case x = -2 is the correct choice
Answer 2
Answer:

Answer:

x = -2

Step-by-step explanation:

:::::;;;;;::::::

Related Questions

What is 16% of 25? A.64 B.16 C.6 D.4
Evaluate the expression 16a+b when a=(3)/(4) and b=3 .
THIS QUESTION DOESNT MAKE ANY SENSE TO ME SO IF YOU KNOW OR COULD HELP PLEASE DOA cone-shaped kitchen funnel has a diameter of 6 inches and a height of 7 inches. About how many times would you need to fill the funnel to fill a cylindrical can that has a radius of 4 inches and a height of 13 inches?A. 3B. 4C. 9D. 10
Two rectangles are similar. One has a length of 14 cm and a width of 9 cm, and the other has a width of 3 cm. Find the length of the second rectangle. Round to the nearest tenth if necessary.A. 4.7 cm B. 1.9 cm C. 5.4 cm D. 3.5 cm
5y(2y-3)=(2y-3) can someone help me and explain step by step on how to do it

A curve is traced by a point P(x, y) which moves such that its distance from the point A(-1,1) is three times its distance from the point B(2,-1). Determine the equation of the curve.

Answers

Answer:

8x^2+8y^2+43-38x+20y=0

Step-by-step explanation:

Let A\left ( x_1,y_1 \right ) and B\left ( x_2,y_2 \right ) be two points then distance AB is equal to AB=√(\left ( x_2-x_1 \right )^2+\left ( y_2-y_1 \right )^2)

Here, a curve is traced by a point P(x,y) which moves such that its distance from the point A(-1,1) is three times its distance from the point B(2,-1) i.e AP=3BP

Using distance formula,

AP=√((-1-x)^2+(1-y)^2)

BP=√((2-x)^2+(-1-y)^2)

AP=3BP\n√((-1-x)^2+(1-y)^2)=3√((2-x)^2+(-1-y)^2)

On squaring both sides, we get

(-1-x)^2+(1-y)^2=9\left [ (2-x)^2+(-1-y)^2 \right ]\n1+x^2+2x+1+y^2-2y=9\left ( 4 +x^2-4x+1+y^2+2y\right )\n1+x^2+2x+1+y^2-2y=36+9x^2-36x+9+9y^2+18y\n8x^2+8y^2+43-38x+20y=0

So, equation of curve is 8x^2+8y^2+43-38x+20y=0

Which of the following statements best defines independent events?A.

Two events are independent events if it is impossible for the two events to occur simultaneously.


B.

Two events are independent events if the occurrence of one event has no effect on the probability of the other.


C.

Two events are independent events if the intersection between the sample spaces of the two events is not empty.


D.

Two events are independent events if the union of the sample spaces of the two events is not empty.

Answers

I would say B, because one event should not have any effect on any other event if it was a independent event.

B. is the correct answer

Step-by-step explanation:

Two events are independent events if the occurrence of one event has no effect on the probability of the other. This is a true statement. Everything else is false.

Hope I helped!

a ball is dropped from a height of 100 inches the ball bounces, each time reaching a lower and lower height. the height of each bounce is 75% of the previous bounce what height will the ball reach after bouncing four time? how many bounces does it take for the ball to reach a heigh of less than one inch?

Answers


After the 'n'th bounce, the ball returns to a maximum height of

               (100) times (0.75)^n .

-- After 4 bounces, the maximum height is (100) (0.75)^4 = 31.64 inches.

-- To look for the maximum height of 1 inch,     (100) (0.75)^x = 1

Let's take the log of each side:    log(100) + x log(0.75) = 0

Subtract  log(100)  from each side:      x log(0.75) = -log(100)

Divide each side by  log(0.75) :            x  =  -log(100) / log(0.75).

log(100) = 2 .  So ...    x = -2 / log(0.75)  =  -2 / -0.124939  =  16.00785    

So the ball returns to a slim hair more than 1 inch high on the 16th bounce,
and returns to definitely less than 1 inch high on the 17th bounce.


Justin won 20 games, tied 8 games & lost 14. What is Justin's ratio of total games to tied games? Please show how you get the answer as well.Thanks

Answers

Total games= 20+8+14 
                    =42 games
Fraction of tied games= 8/42
reduce the fraction so that it's 4/21
The ratio would be 4:21 

X + 1/7 = 5/14 what is the sum of x and what are the steps?

Answers

x + (1)/(7) = (5)/(14)

First, subtract (1)/(7) from both sides.
x = (5)/(14) - (1)/(7)
Second, find the LCD of the two fraction.
Multiples of 14: 14
Multiples of 7: 7, 14
The LCD is 14.
Third, make the denominators the same as the LCD.
(5)/(14) - (1x2)/(7x2)
Fourth, multiply 1 × 2 to get 2 and 7 × 2 to get 14.
(5)/(14) - (2)/(14)
Fifth, combine the denominators.
(5-2)/(14)
Sixth, subtract 5 - 2 to get 3.
(3)/(14)

Answer as fraction: (3)/(14)
Answer as decimal: 0.2143

Two lines are perpendicular. The slope of one line is -2, What is the slope of the other line?A. 1/2

B. -1/2

C. -2

D. 2

Answers

perpendicular lines have negative reciprocal slopes. All that means is " flip " the slope and change the sign.
slope = -2, or -2/1....so flip the slope...-1/2...and change the sign...1/2.
so the perpendicular slope would be 1/2.
Other Questions
The mean score on a calculus exam was 40, and the standard deviation was 5. The teacher decided to double everyone’s score and then added 7 points. What are the values of the mean and standard deviation of the distribution of transformed exam scores? (Options: mean = 80 and standard deviation = 5, mean = 80 and standard deviation = 10, mean = 87 and standard deviation = 5, mean = 87 and standard deviation = 10, mean = 87 and standard deviation = 17)
4x-7>17 what's the problem and answe of solution please
What percent of 55 is 34
Def and feg are supplementary .m