MATHEMATICS HIGH SCHOOL

Which function's graph has a period of 2?y=cos(x-pi/2)
y=3cos pi x
y=2 sin 3x
y=-4 sin 2x

Answers

Answer 1
Answer: If the function is:
y=a cos( bx+c), or y=a sin(x+c)
then the period is T= 2π/b and if T=2:
2=2π/b
b=2π/2=π
Answer: B) y=3 cos πx 
Answer 2
Answer:

Answer:

Option 2. y = 3 cos πx is the answer.

Step-by-step explanation:

If the function is in the standard form of y = acos(bx+c)  or y = asin(bx+c)

Then period of the given function will be = 2π/b

1) For y = cos(x - π/2)

Therefore period of the function will be = 2π/1 = 2π

2) For y = 3cos πx

Period = 2π/π = 2

Correct option.

3) y = 2 sin 3x

Period of the function = 2π/3

4). y = -4sin 2x

Period of the function = 2π/2 = π

So option 2 is the answer.

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Art mows 1 8 acre in 1 4 hour. How many acres does Art mow per hour?

Answers

Answer:He mows half an acre in one hour

Step-by-step explanation:

Over the summer, Jackie played video games 3 hours per day. When school began in the fall, she was only allowed to play video games for half an hour per day. What is the percent decrease? Round to the nearest percent

Answers

Answer:

percent decrease

Step-by-step explanation:

I believe it is 75% sorry if I'm wrong

Answer:

83%

Step-by-step explanation:

original amount:3

final amount: 0.5

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X-3y=6 into slope intercept form. using y=mx+b

Answers

The solution is: x-3y=6 in slope intercept form is y = x/3 -2.

Here, we have,

given that,

x-3y=6

Slope intercept form is y = mx+b

where m is the slope and b is the y intercept.

we have,

x-3y=6

Subtract x from both sides            

x-3y -x =6 -x

Combine

-3y = 6 -x

Divide all parts of the equation by 3              

-3y/3 = 6/3 -x/3

-y = 2 - x/3

or, y = x/3 -2

where,

Slope = 1/3

y intercept = -2

Hence, The solution is: x-3y=6 in slope intercept form is y = x/3 -2.

To learn more on Equation 0f Straight-Line click:

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Subtract x to both side.
-3y=-x+6
Divide -3 to both side, two positive make a negative.
y=1/3x-2

Solve for x. 3(3x - 1) + 2(3 - x) = 0

Answers

The equation given in the question is
3(3x - 1) + 2(3 - x) = 0
9x - 3 + 6 - 3x = 0
6x + 3 = 0
6x = - 3
x = - (3/6)
   = - (1/2)
So the value of x as has been determined above is -1/2. I hope the procedure is clear enough for you to understand.You canalways use this method for solving problems that are similar in type withoutrequiring any help from outside.



Write 2.11111... as a fraction.

Answers

Answer:

19/9

Step-by-step explanation:

x=2.1 repeating

10x=21.1 repeating

subtract x from 10x and you get 9x=19

divide by 9 on both sides of the equal sign to get x=19/9

The function h =-16t^2 +1000 gives an objects height, h in feet, at t seconds When will the object be 1000 feet above the ground?
How many seconds did it take for the object to hit the ground?
How many seconds did it take for the object to reach 1000 feet

Answers

Answer:

time = 0 seconds

Time to hit ground = 7.906 seconds

time = 0 seconds

Step-by-step explanation:

t = 0

-16(0)^2 +1000 = 1000

Time for ball to reach ground:

-16t^2 +1000 = 0

-16t^2 = -1000

t^2 = -1000/-16

t = squareRoot (-1000/-16) = 7.906 seconds
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