You use the slope formula, (y2-y1/x2-x1)
1320xyX−4224xX−165yX−3000xy+528X+9600x+375y−12001320xyX-4224xX-165yX-3000xy+528X+9600x+375y-1200
Given:
Angelica reads 15 pages of a book each day.
In 10 days, she reads 200 pages.
Assume the relationship is linear.
To find:
The rate of change and initial value.
Solution:
The slope intercept form of a linear function is:
...(i)
Where m is the slope and b is the y-intercept.
Angelica reads 15 pages of a book each day. So, the rate of change is 15 pages per day and
.
In 10 days, she reads 200 pages. It means the linear relation passes through the point (10,200).
Putting
in (i), we get

So, the y-intercept is 50. It means the initial number of pages angelica already read is 50.
Therefore, the rate of change is 15, it means Angelica reads 15 pages per day. The y-intercept is 50, it means the initial number of pages angelica already read is 50.
Answer:
The graph crosses the x-axis 2 times
The solutions are x = -8 & x = 4
Step-by-step explanation:
Qaudratics are in the form 
Where a, b, c are constants
Now, let's arrange this equation in this form:

Where
a = 1
b = 4
c = -32
We need to know the discriminant to know nature of roots. The discriminant is:

If
- D = 0 , we have 2 similar root and there is 2 solutions and that touches the x-axis
- D > 0, we have 2 distinct roots/solutions and both cut the x-axis
- D < 0, we have imaginary roots and it never cuts the x-axis
Let's find value of Discriminant:

Certainly D > 0, so there are 2 distinct roots and cuts the x-axis twice.
We get the roots/solutions by factoring:

Thus,
The graph crosses the x-axis 2 times
The solutions are x = -8 & x = 4
Answer:
zero
Step-by-step explanation:
since there is no number less than 1 on the spinner, the probability of getting number less than one is zero.