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malfutka [58]
3 years ago
15

Consider this function rule: multiply the input by two and then subtract one to get the output. Write an equation that gives thi

s rule in symbolic form
Mathematics
1 answer:
rusak2 [61]3 years ago
7 0

Answer:

f(x)=2x-1

Step-by-step explanation:

The output is f(x). The input is x.

The prompt says to multiply the input by 2, so 2x.

Then subtract 1 to get f(x).

Hope this helps!

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3 0
3 years ago
Max can mow a lawn in 45 minutes. Jan takes twice as long to mow the same lawn. If they work together, the situation can be mode
Rudiy27

Answer:30 minutes

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Note there might be more than 1 answer.
Nastasia [14]

Answer:

m = 6.75, -3.25

Step-by-step explanation:

In order to solve this, you have to solve for M by simplifying both sides of the equation and than isolating the variable.

When you do this, you get the answer m = 6.75, -3.25

5 0
3 years ago
What is the midline of this function? y=    
Sergeeva-Olga [200]

Answers:

  • Midline:  y = 0
  • Amplitude = 1.5
  • Function:  g(x) = 1.5sin(0.5x + pi/4)

There are infinitely many possible ways to answer the third part.

===========================================================

Explanation:

The midline is the horizontal line that goes through the center of the sine curve. Visually we can see that is y = 0. Another way we can see this is to note how y = 0 is the midpoint of y = 1.5 and y = -1.5, which are the max and min respectively.

---------

The amplitude is the vertical distance from y = 0 to y = 1.5, and it's also the vertical distance from y = 0 to y = -1.5; in short, it's the vertical distance from center to either the peak or valley.

---------

The general format of a sine curve is

y = A*sin(B(x-C)) + D

where,

  • |A| = amplitude
  • B = variable tied with the period T, specifically B = 2pi/T
  • C = handles the left and right phase shift
  • D = handles the vertical shifting, and y = D is the midline.

In this case, we found so far that

  • |A| = 1.5 which could lead to A = 1.5
  • B = 2pi/(4pi) = 0.5 since T = 4pi is the period
  • D = 0

The only thing we're missing is the value of C, which is the phase shift.

Note the point (pi/2, 1.5) is one of the max points on this curve. Also, recall that sin(x) maxes out at 1 when x = pi/2

This must mean that the stuff inside the sine, the B(x-C) portion, must be equal to pi/2 in order to lead sin(B(x-C)) = 1.

So,

B(x-C) = pi/2

0.5(pi/2-C) = pi/2

pi/4 - C/2 = pi/2

4*( pi/4 - C/2 ) = 4*(pi/2)

pi - 2C = 2pi

-2C = 2pi - pi

-2C = pi

C = pi/(-2)

C = -pi/2

This allows us to update the function to get g(x) = 1.5*sin(0.5(x+pi/2)) which is the same as g(x) = 1.5sin(0.5x + pi/4)

This is one possible answer because we could have infinitely many possible values for C, due to sin(x) = 1 having infinitely many solutions.

Also, you could use cosine instead of sine. Cosine is just a phase shifted version and of sine, and vice versa.

7 0
2 years ago
A bakery can make 320 cookies in 2 hours. At this rate, how many cookies can they make in 5 hours?
statuscvo [17]
160 hr. Then 160*5 is 800
3 0
3 years ago
Read 2 more answers
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