The transformation is done to y=1/x to get y=1/4x-12. We defined a turning point in the equation which will indicate the point in the graph.
We changed the form from y=x to y=x+c. In this case, we use 1/2 for the and constant C value which is -12.
One reason that negative numbers would not make sense for values of the variables is that the solution having a negative value is not valid. It might be that the expression represents a real word problem and a negative value will not make any sense. Hope this helps.
We want to write an inequality that tells how much Hannah should walk this week. The inequality will be:
x ≥ (3 + 3/4) mi
<h3>
Finding the inequality:</h3>
We know that she already did walk 2 3/4 miles this week, and she wants to walk at least 6 1/2 miles.
So to reach that minimum, she needs to walk:
(6 1/2)mi - (2 + 3/4) mi = (3 + 3/4) mi
And she can walk that or more, so the inequality is:
x ≥ (3 + 3/4) mi
Where x represents how much she will walk this week.
If you want to learn more about inequalities, you can read:
brainly.com/question/11234618
The answer of the question is D
Answer:
y = 60
Step-by-step explanation:
<h3>Step 1: Make sense of the given</h3>
"The ratio of y to x is 3"
This means that,
"The sum of y and x is 80"
This means,
<h3>Step 2: Make use of the facts</h3>
If , then .
We can plug this into the other equation by substitution:
This simplifies to:
Which we can solve out and get:
.
<h3>Step 3: Plug and Chug</h3>
We solved for x, but we need the value of y.
So, we go back to the equation we first derived: "".
And now we substitute the value of x, into this.
By solving this out, we get:
So, the value of y is 60.