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Zigmanuir [339]
3 years ago
13

Solve the following two equations. Show all of your

Mathematics
1 answer:
Elena L [17]3 years ago
7 0

Step-by-step explanation:

Given that,

Two equations,

3x + 11 = 11 .....(1)

And

3(x - 3) = 45

or

3x-9=45 ....(2)

Subtract 11 on both sides of equation (1).

3x + 11-11 = 11-11

3x=0

x = 0

Add 9 to both sides of equation (2)

3x-9+9=45+9

3x = 54

x = 18

Hence, the solution of equation (1) is x=0 and form equation (2) x = 18.

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Suppose you work as a clerk at a local retail store earning $6 per hour. The amount of your weekly paycheck (before taxes are ta
Viktor [21]

Answer:

x is the independent variable and it represents the number of hours worked per week by the clerk.

Step-by-step explanation:

An independent variable refers to a variable in model that is varied or changed in order to examine its effect on another variable. The other variable is called a dependent variable.

A dependent variable is a variable in a model that changes as a result of a change in the independent variable.

From the question, x is the independent variable and its represent the number of hours worked by the clerk.

F(x) represents the amount of your weekly paycheck and it is the dependent variable that changes as the number of hours worked, x, changes.

For example, since we are given:

F(x) = 6x ............................... (1)

Where;

F(x) = = depemdent variable = Amount of weekly paycheck (before taxes are taken out)

6 = coefficient of x = Earning per hour

x = Independent variable = Number of hours worked

Assuming x = 1, we can substitute this into equation (1) and have:

F(x) = 6 * 1 = $6

But when x = 2, we have:

F(x) = 6 * 2 = $12

Therefore, the dependent variable F(x) changes from $6 weekly to $12 weekly as the independent variable x changes form 1 hour to 2 hours weekly.

8 0
3 years ago
What fraction is equivalent to 150%?<br> A. 1 2/5<br> B. 15/1<br> C. 3/5<br> D. 1 1/2
inessss [21]

Answer:

D : 1 1/2

Step-by-step explanation:

150% converted into a decimal is 1.5, this is the same as 1 1/2, so the answer is D.

hope this helps :)

7 0
3 years ago
Write the quadratic equation whose roots are 6 and -4 , and whose leading coefficient is 5. (Use the letter x to represent the v
BaLLatris [955]

The quadratic equation for this would be f(x) = 5x^2 - 10x - 120.

In order to find that, we need to start by taking our x intercept values and setting them equal to zero.

x = 6 ----> subtract 6 from both sides

x - 6 = 0

x = -4 ----> add 4 to both sides

x + 4 = 0

Now that we have both of these zero terms, we can multiply them to get a standard form.

f(x) = (x - 6)(x + 4)

And while this will give us the zeros we need, it will no give us the lead coefficient. So we must multiply by the desired lead coefficient.

f(x) = 5(x - 6)(x + 4)

f(x) = 5(x^2 - 6x + 4x - 24)

f(x) = 5(x^2 - 2x - 24)

f(x) = 5x^2 - 10x - 120

7 0
3 years ago
Brainliest + points!<br><br> Can you please explain and show your work why choice A. is CORRECT?
brilliants [131]

Answer:

A is correct because:

Step-by-step explanation:

Why it is correct is all you have to do is minus $748.11 and 692.40 and you will get $55.71. That means he still owes $55.71 So he owes an additional $55.71.

6 0
3 years ago
Max spends $5.25 on gas for his lawn mower. He earns $12.00 mowing his neighbor's yard. What is Max's profit?
Mila [183]

Answer:

$6.75 aint never seen to pretty best frineds and always one of em' gotta be ugly

Step-by-step explanation:

5 0
3 years ago
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