Answer:
<em>y = 8.25x</em>
Step-by-step explanation:
<u>Linear Modeling</u>
Some events can be modeled as linear functions. If a situation comes where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.
The linear function can be expressed in the slope-intercept format:

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

Let's use linear modeling to represent Steven's earnings he makes babysitting. Call y the money he charges by x hours of work.
We know he charges y1=$33 for x1=4 hours, and y2=$57.75 for x2=7 hours. The ordered pairs are (4,33) and ( 7, 57.75)
Computing the equation of the line we have:

Operating:



y = 8.25x
There is a proportional relationship.
Answer:
50
Step-by-step explanation:
3 cats can catch 3 rats in 3 minutes ==> 1 rat per minute.
It takes 3 cats to catch 1 rat per minute.
100 rats in 100 minutes ==> 1 rat per minute
The same <u>3 cats</u> can do it, if they don't wear out and take naps.
ANSWER
The discriminant is zero.
The given equation has one real root.
EXPLANATION
The given quadratic equation is:

We rewrite this in the form;


This means that,
a=-2, b= 8, c=-8
The discriminant is given by;
D=b² - 4ac
That is:


Therefore the discriminant is zero.
This tells us that the quadratic equation has one real root.
In order words, the given quadratic equation has a repeated real root.
Its simple
you just divide 1444/110
the answer you get is
13.1 cm