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3 years ago

What does it mean when we say that two expressions define the same function?

1 answer:

4 0

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).

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Comparew 3 3/22 and 3 2/33. Which is greater? How do you know?

Mars2501 [29]

Because the larger the number the smaller it's worth so 3 3/22 is greater

5 0

3 years ago

Identify the triangle that contains an acute angle for which the sine and cosine ratios are equal.

olganol [36]

Answer:

yea, option b I guesssssss

6 0

3 years ago

Please help with number 5. Select all that apply.

posledela

Answer: options A, B and C are correct

Step-by-step explanation:

Ray's daily pay,P in dollars is given by the function, p(h) = 10h with h representing the number of hours that he worked on that day. If he worked c hours on Thursday and this is 3 hours more than he worked on Friday, then the following statement is true. We substitute c and c-3 for Thursday and Friday into the given function, p(h) = 10h

A) 10c -3 represents Ray's pay in dollars on Friday.

B) 10c represents Ray's pay in dollars on Thursday.

C) p(c ) - p(c-3) represents how much more Ray's pay was on Thursday than on Friday

8 0

4 years ago

The graph shows the function y equal 3x-1 what are the coordinates of the intercepts

11111nata11111 [884]

Answer: (0,-1) and (1/3,0)

Step-by-step explanation:

4 0

3 years ago

1.Solve the equation. Check for extraneous solutions.

elena55 [62]

Okay so I did the math.

1. Two solutions were found :
z=-1
z=2/3
Step 1 :Rearrange this Absolute Value Equation

Absolute value equalitiy entered
|2z-3| = 4z-1

Step 2 :Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |2z-3|

For the Negative case we'll use -(2z-3)

For the Positive case we'll use (2z-3)

Step 3 :Solve the Negative Case

      -(2z-3) = 4z-1

     Multiply
      -2z+3 = 4z-1

     Rearrange and Add up
      -6z = -4

     Divide both sides by 6
      -z = -(2/3)

     Multiply both sides by (-1)
      z = (2/3)
     Which is the solution for the Negative Case

Step 4 :Solve the Positive Case

      (2z-3) = 4z-1

     Rearrange and Add up
      -2z = 2

     Divide both sides by 2
      -z = 1

     Multiply both sides by (-1)
      z = -1
     Which is the solution for the Positive Case
Step  5  :Wrap up the solution

z=2/3
 z=-1

2. -6 < x < 26/3

Step 1 :Rearrange this Absolute Value Inequality

Absolute value inequalitiy entered
|3x-4|+5 < 27

Another term is moved / added to the right hand side.

|3x-4| < 22

Step 2 :Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |3x-4|

For the Negative case we'll use -(3x-4)

For the Positive case we'll use (3x-4)

Step 3 :Solve the Negative Case

-(3x-4) < 22

 Multiply
 -3x+4 < 22

 Rearrange and Add up
 -3x < 18

 Divide both sides by 3
 -x < 6

 Multiply both sides by (-1)
 Remember to flip the inequality sign
 x > -6
 Which is the solution for the Negative Case

Step 4 :Solve the Positive Case

(3x-4) < 22

 Rearrange and Add up
 3x < 26

 Divide both sides by 3
 x < (26/3)

 Which is the solution for the Positive Case

Step 5 :Wrap up the solution

-6 < x < 26/3

Solution in Interval Notation

(-6,26/3)

HOPE THIS HELPS :D

7 0

3 years ago