Answer:
Step-by-step explanation:
<u>Directly Proportion</u>
It's said that y varies directly proportional as x, if:
Where k is a constant of proportionality.
We know that y=7 when x=1/2.
Using the above condition, we can find the value of k:
Solving for k:
k=14
Thus, the equation is:
Answer:
$27
Step-by-step explanation:
In this question, we are asked to calculate how much spent on some number of students in a bookstore where books were being signed by an author. We proceed as follows:
To calculate the amount she budgeted, there are different approach we can take. We can calculate the amount she has to pay for the signing at the old price. Then, we calculate the amount of money she has to pay on discounting the fees. We then subtract the values to arrive at the total value she has spent.
Firstly, we calculate the total amount of money to be spent on the students based on his budget. He had budgeted 1.15, then the total amount budgeted would be 30 * 1.15 = $34.5
Now we are made to know that she spent 0.25 less. Thus, the total amount spent less would be 30 * 0.25 = $7.5
The actual amount thus spent is $34.5 - $7.5 = $27
He spent a total of $27 on 30 students
Answer:
In x-axis: 
, In y-axis: 
Step-by-step explanation:
The rule of the reflection of a point across the x-axis is as shown:
The reflection of the point 
across the x-axis is given by 
.
The point given to us is 
, when reflected across the x-axis we get:
Now, when a point is reflected across the y-axis we get the point 
.
So when the point is reflected across the y-axis we get: 
.
12x + 3y = 9
3y = -12x + 9
y = (-12/3)x + 9/3
y = -4x + 3
In y = mx + b form, the y int is in the b position...so the y int is 3 or (0,3)
The answer for the following inequality is M < 12
