Answer:
- It is a linear equation
- The graph of the equation will show that the <em>y</em> values increase as the <em>x</em> values increase.
Step-by-step explanation:
The pay Michael gets (y) is the amount per paper ($0.40) multiplied by the number of papers (x) and that product added to the daily base pay of $5. Michael's daily pay (in dollars) can be described by ...
y = 5.00 + 0.40x
This is a linear equation with a positive slope (meaning y goes up when x goes up).
Part 1: The general form for this matches y^2 = -4cx, which implies that this opens to the left. (Imagine assigning any value of y, whether positive or negative, which would result in a positive left-hand value. Then to match this sign, the value of x must be negative so that the right-hand side becomes positive as well.)
Part 2: The distance from the vertex to the directrix is given by c. This equation has its vertex at the origin (0, 0). If it opens to the left, the directrix is a vertical line to the right of the origin. This equation is y^2 = -4(1/2)x, so c = 1/2, and the directrix has the equation x = 1/2.
Part 3: The focus is inside the parabola, but it is the same distance from the vertex as the directrix. This distance is 1/2 units, and it will be to the left of the vertex. So the focus is at (-1/2, 0).
We have the following function:
f (x) = x ^ 2
We have the following transformation:
Expansions and horizontal compressions
The graph of y = f (bx):
If 0 <b <1, the graph of y = f (x) expands horizontally by the factor of 1 / b.
Applying the transformation:
y = (0.2x) ^ 2
The factor is:
1 / b = 1 / 0.2 = 5
Answer:
b. expanded horizontally by a factor of 5
I think 86
you’d just add 26 and 60
First you have to find the area of the WHOLE BOX. So you multiply,
8×7=56
Then find the area of the small box,
5×4=20
It says take away the area of the small box from the whole box and you should do just that: 56-20=36
The area of the shaded region is 36cm²
