Answer:
f(-1) = -10
f(0) = -6
f(2) = 8
Step-by-step explanation:
As the function says, when x is below 0, the part that we have to use is 7x-3, and when is equal or greater we use 7x-6.
We do so and just replace de values of x in each equation.
Answer:
The greatest number of stamps that Nathan can put on each page = 16.
Step-by-step explanation:
Given:
Nathan has:
80 US stamps
64 Canadian stamps
32 Mexican stamps
The stamps need to put on a page such that each page has same number of same country stamps on each page.
To find the greatest number of stamps he can put on each page.
Solution:
In order to find the greatest number of stamps Nathan can put on each page, we will find the G.C.F. of the three numbers.
The numbers are:
<em>We will list down the prime factors of each number.</em>
The G.C.F can be given as = 
= 16
Thus, the greatest number of stamps that Nathan can put on each page = 16.
Answer:
12 years
Step-by-step explanation:
Represent the mother's age by m and the son's by 4. Currently m = 36 years old.
In x years the mother will be three times as old as her son:
mother: 36 + x years old
son: 4 + x years old
The pertinent equation to solve is:
36 + x = 3(4 + x)
Performing the multiplication, we get:
36 + x = 12 + 3x, or
24 = 2x. Then x = 12.
Check: In 12 years, will the mother's age be 3 times the son's age?
Does 36 + 12 = 3(4 + 12)?
Does 48 = 48? YES
The mother will be 3 times as old as her son in 12 years from now.
Answer:
<em>Thus, the transformation from ABC to A'B'C' is a reflection over the x-axis.</em>
<em>Choice 1.</em>
Step-by-step explanation:
<u>Reflection over the x-axis</u>
Given a point A(x,y), a reflection over the x-axis maps A to the point A' with coordinates A'(x,-y).
The figure shows triangles ABC and A'B'C'. It can be clearly seen the x-coordinates for each vertex of both triangles is the same and the y-coordinate is the inverse of it counterpart. For example A=(5,3) and A'=(5,-3)
Thus, the transformation from ABC to A'B'C' is a reflection over the x-axis.
Choice 1.
