Answer:
|x-3|-5
Step-by-step explanation:
f(x) = |x|
These lines are lines of absolute value equations. g(x) is shifted 3 units left so we subtract 3 from within the bars, and shifted down 5 units so we subtract 5 from the absolute value which leaves us with |x-3|-5
Answer:

Step-by-step explanation:
The equation of a circle in standard form:

(h, k) - center
r - radius
We have the endpoints of the diameter: (-1, 6) and (5, -4).
Midpoint of diameter is a center of a circle.
The formula of a midpoint:

Substitute:

The center is in (2, 1).
The radius length is equal to the distance between the center of the circle and the endpoint of the diameter.
The formula of a distance between two points:

Substitute the coordinates of the points (2, 1) and (5, -4):

Finally we have:

Answer:
7 students
Step-by-step explanation:
1+2+4=7students
Answer:

Step-by-step explanation:
Let
be the volumes of the smaller and bigger cylinder.
The formula for the volume of a cylinder is given by :

As the two triangles are similar, the cube of their ratio would equal the ratio of their volume i.e.

So, the volume of the smaller cylinder is equal to
.
Given that,
Shelley's pet food store sold one customer 5 peanut butter biscuits for $3. She sold another customer 7 beef treats for $4.20.
For peanut, the cost is ratio is

For beef, the ratio is

If we take cross product of these items,

It implies, that the sale is in true proportion. From the cross product, we find that it is equal.