Mia works at a smoothie shop. For h hours of work, Mia earns 8h dollars. Last weekend, Mia worked 9 hours.

Marizza181 [45]

The first statement is true, because the two negative signs cancel each other out. However, the second is false because any time you multiply a positive number by a negative number the product is always negative. Therefore 4x-6=-24

5 0

3 years ago

Read 2 more answers

Let x = a bi and y = c di and z = f gi which statements are true? check all of the boxes that apply. x y = y x (x × y) × z = x ×

Alex73 [517]

A complex number is a part of a number system that includes a real unit and an imaginary unit. All the statements are true except C and E.

<h3>What is a Complex Number?</h3>

A complex number is a part of a number system that includes the real numbers as well as a particular element labelled i, sometimes known as the imaginary unit, and which obeys the equation i² = 1.

As it is given that x=(a+bi), y=(c+di), and z=(f+gi), therefore, we need to plug in the values to check which all are true.

A.) x+y=y+x

$x+y=y+x\\a+bi+c+di=c+di+a+bi$

As the two sides of the equation are equal, the equation is true.

B.) (x × y) × z = x × (y × z)

$(x \times y) \times z = x \times (y \times z)\\\\\ [ (a+bi) \times (c+di) ]\times (f+gi) = (a+bi) \times [(c+di) \times (f+gi)]\\\\(ac+adi+bci-bd) \times (f+gi)= (a+bi) \times (cf+cgi+fdi-dg)$

$(ac+adi+bci-bd) \times (f+gi)= (a+bi) \times (cf+cgi+fdi-dg)\\\\\\acf+adfi+bcfi-bdf+acgi-adg-bcg-bdgi = acf+acgi+afdi-adg + bcfi-bcg-bfd-bdgi$

As the two sides of the equation are equal, the equation is true.

C.) x−y=y−x

$x-y=y-x\\\\(a+bi)-(c+di)=(c+di)-(a+bi)\\\\a+bi-c-di=c+di-a-bi$

As the two sides of the equation are not equal, the equation is not true.

D.) (x+y)+z=x+(y+z)

$(x+y)+z=x+(y+z)\\\\(a+bi+c+di)+f+gi = a+bi+(c+di+f+gi)\\\\a+bi+c+di+f+gi = a+bi+c+di+f+gi$

As the two sides of the equation are equal, the equation is true.

E.) (x−y)−z=x−(y−z)

$(x-y)-z=x-(y-z)\\\\(a+bi-c-di)-f-gi = a+bi-(c+di-f-gi)\\\\a+bi-c-di-f-gi =a+bi-c-di+f+gi)$

As the two sides of the equation are not equal, the equation is not true.

Hence, all the statements are true except C and E.

Learn more about Complex Number:

brainly.com/question/12464608

6 0

2 years ago

Which of the following is graphed below?

Nostrana [21]

Answer:

Step-by-step explanation:

Begin with process of elimination: As seen on the graph, there is a discontinuity at x=3. this means that x>=3. so we can eliminate B and C

Now you can see that at x = 3, two things happen. When moving to the left, x<3. when moving tot he right x>=3 so because of this you can eliminate D. The answer is A

5 0

3 years ago

Can someone help me with this please

d1i1m1o1n [39]

9514 1404 393

Answer:

1. attendance (y), time (x)

2. 1,2: increasing; 3: constant; 4: decreasing

3. attendance increases, remains constant, then decreases

4. increasing; pre-heating the oven

Step-by-step explanation:

It is always difficult to read the mind of the author of questions like these. Usually, specific wording is expected. If your curriculum material has examples you can copy from, you should do that.

__

1. The variables and what they stand for are listed on the axes of the graph. The y-variable stands for attendance. The x-variable stands for time. It isn't clear whether the desired answer is "y and x" or "attendance and time".

__

2. The graph slopes upward in intervals 1 and 2. It can be described as "increasing."

The graph remains level in interval 3. It can be described as "constant."

The graph slopes downward in interval 4. It can be described as "decreasing."

__

3. The attendance is adequately described in question 2. Attendance increases, remains constant, then decreases. It isn't clear how general or specific the answer is supposed to be.

__

4. The graph of the function is "increasing." We don't know if the indicated temperature is the temperature of the bread, the oven, or the room containing the oven. If we assume the indicated temperature is that of the oven, we expect an increase during the oven pre-heat interval.

If the indicated temperature is that of the bread, then the increase would be following insertion of the bread into the oven.

4 0

3 years ago

You roll a 6 sided die. What is P(roll great her than 4)? If necessary round your answer to 2 decimal place

brilliants [131]

Answer:

1/3 = 0.33

Step-by-step explanation:

in a 6 sided die, there are numbers 1, 2, 3, 4, 5 and 6. So if you roll it once, there are 6 possible outcomes. so 6 is your sample space.

Out of all the possible outcomes, 5 and 6 are the only outcomes greater than 4.

P(an event occurring) = (number of ways it can occur)/(sample space)

∴p(roll greater than 4) = 2/6

=1/3

=0.333333333333333333333333............................

=0.33 (when rounded off to the 2nd decimal place)

So that's it!!! Hope i helped ya :)

4 0

3 years ago