What are the possible values for x in the equation 4x²=641) x=0
2) x=4
3) x=4,-4
4) x=0,4,-4

Answers

Answer 1
Answer: 4x^2=64\n \n4x^2-64 =0 \ \ /:4 \n \n x^2-16 =0 \n \nx^2-4^2=0 \n \n (x-4)(x+4)=0 \n \n x-4=0 \ \ or \ \ x+4 =0 \n \n x=4 \ \ or \ \ x= -4 \n \nAnswer : \ 3) \ \ x=4,-4

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Joe will go to the swimming pool on 20 different days this month. • a one-day pass to the pool is $2.25. • a monthly pass to the pool is $30.00. how much money will joe save by buying a monthly pass

Answers

Joe will save 20 dollars buying a monthly pass

A taut string of length 10 inches is plucked at the center. The vibration travels along the string at a constant rate of c inches per millisecond in both directions. If x represents the position on the string from the left-most end, so that 0≤x≤10, which of the following equations can be used to find the location x of the vibration after 0.3 milliseconds? A. | x -5 | =0. 3 B. ∣cx−5∣=0.3 C. | x -0.3 | = 5 D. | x - 10 | =0.3c

Answers

Answer:

The correct option is

A.  \ (1)/(c) * \left | x - 5 \right | = 0.3

Step-by-step explanation:

The parameters given are;

The length of the string = 10 inches

The speed or rate of travel of the wave = c inches per millisecond

The position on the string from the left-most end = x

The time duration of motion of the vibration to reach x= 0.3 milliseconds

The distance covered = Speed × Time = c×0.3

Given that the string is plucked at the middle, with the vibration travelling in both directions, the point after 0.3 millisecond is x where we have;

The location on the string where it is plucked = center of the string = 10/2 = 5 inches

Distance from point of the string being plucked (the center of the string) to the left-most end = 5 inches

Therefore, on the left side of the center of the string we have;

The distance from the location of the vibration x (measured from the left most end) to the center of the string = 5 - x = -(x -5)

On the right side of the center, the distance from x is -(5 - x) = x - 5

Therefore, the the equation that can be used to find the location of the vibration after 0.3 milliseconds is (1)/(c) * \left | x - 5 \right | = 0.3 or \left | x - 5 \right | = 0.3 * c which gives the correct option as A

Subtract 3/y-2 - 1/y+3

Answers

to subtract fractions, we need a common denominator.

(3)/(y-2)(1)/(y+3)

the common denominator will be (y-2)(y+3)

(3(y+3)-1(y-2))/((y-2)(y+3))
(3y + 9 - y + 2)/((y-2)(y+3))
(2y + 11)/((y-2)(y+3))

The answer above will be the simplified form.

What is the y intercept of the line -9 + 3y= 18

Answers

Answer:

0,9

Step-by-step explanation:

Answer:

y=9

Step-by-step explanation:

In this equation you would add 9 to get the y on a side by itself that would get you 3y=27, then you would divide both sides by 3 and end up with your y-intercept to be 9.

What's the next number? 12 21 23 32 34 43

Answers

The correct answer is 45. The rule to the numbers is x + 9 and then x + 2.

12 + 9 = 21
21 + 2 = 23
23 + 9 = 32
32 + 2 = 34
34 + 9 = 43
43 + 2 = 45

Hope this helps!

Find the additive inverse of each number
1.) 3-7i
2.) -2 + i

Answers

The\ additive\ inverse\ of\ a\ is\ -a.\n\n1)\nthe\ additive\ inverse\ of\ 3-7i is\ -(3-7i)=-3+7i\n\n2)\nthe\ additive\ inverse\ of\ -2+i is\ -(-2+i)=2-i