Answer:
4x - 2y = -12
Step-by-step explanation:
4(3) - 2(12) = b
12 - 24 = b
-12 = b
4x-2y = -12
This is a classic example of where you would need to use the process of elimination. Let's start with answer A, 3 classes.
If A were to be correct, 3 classes of 45 minutes each would be 132 greater than the amount he paid, 3 classes worth $12. We could easily express this as a math equation:
45 * 3 = 132 + (12 * 3) Then, all you would have to do is simplify:
135 = 132 + 36
135 = 168
Obviously this equation isn't true, and you can continue with answer choice B.
But wait... there's a better way. Using this starting equation, we can come up with a formula to solve for c, the number of classes. Let's take our starting equation:
45 * 3 = 132 + (12 * 3) Now, let's turn all the 3s into cs.
45c = 132 + 12c Then, using algebra, we can solve this equation.
-12c - 12c
33c = 132
33c/33 = 132/33
c = 4
And finally, we have our answer, B! I hope both methods help you in your further studies.
Part A:
Expression

The constants are 15 and 100
The variables are

and

Part B:
Expression

has two terms;

and

. We know this because both have different variables attached to them
Part C:
The term

is the expression for the total earned from her allowance
Answer:
The claim that the current work teams can build room additions quicker than the time allotted for by the contract has strong statistical evidence.
Step-by-step explanation:
We have to test the hypothesis to prove the claim that the work team can build room additions quicker than the time allotted for by the contract.
The null hypothesis is that the real time used is equal to the contract time. The alternative hypothesis is that the real time is less thant the allotted for by the contract.

The significance level, as a storng evidence is needed, is α=0.01.
The estimated standard deviation is:

As the standard deviation is estimated, we use the t-statistic with (n-1)=15 degrees of freedom.
For a significance level of 0.01, right-tailed test, the critical value of t is t=2.603.
Then, we calculate the t-value for this sample:

As the t-statistic lies in the rejection region, the null hypothesis is rejected. The claim that the current work teams can build room additions quicker than the time allotted for by the contract has strong statistical evidence.
So since you know that this is a line you can use the slope intercept form which is y=mx+b. M being the slope and B being the y intercept. So for 5a. It is asking for the equation so you just plug in the numbers into y=mx+b.
y=5x-2
For 5b all you have to do is plug in 0 for y in the equation above.
So it will be 0=5x-2. So you simplify it.
Subtract 2 to both sides and you get -2=5x
THen divide by 5 on both sides to isolate the x and so you will get -2/5 =x.
So the answer would be the value of x when y is 0 is -2/5
I really hope that this helped you in some way. If you have any questions feel free to ask me. Have a great day :)