Answer:
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
Step-by-step explanation:
We can start by dividing the inequality by 3 to get ...
8 -4x < 2(x -5)
And we can divide by 2 to simplify further to ...
4 -2x < x -5
Now, we can add 2x+5, which gives ...
9 < 3x
and then divide by 3 again:
3 < x
This is graphed on a number line as described above.
If you plot the points given on a coordinate plane you see that this is a hyperbola that is is horizontal in nature, meaning it opens side to side, not up and down. We can determine the center of it by taking the point equidistant from the vertices, which is (4, 5), the h and k of our center, respectively. Also, the equation looks like this when it is horizontal:
. a is the distance between the center and the vertices, so our a = 2, and c is the distance between the center and the foci, so our c = 3. We need to find b now, using Pythagorean's theorem.
and
. Now we have everything we need to rewrite the equation:
Answer:
D. sometimes less than zero and sometimes greater than zero.
Step-by-step explanation:
The income elasticity of demand is the responsiveness of the increase in the consumers income versus the quantity of goods and services demanded in an economy. we have five types of income elasticity of demand which are namely high elasticity, unitary elasticity, low elasticity and negative elasticity.
in high elasticity of demand when income rises then we see a much bigger increase in the quantity of goods and services demanded therefore positive coefficient.
The unitary elasticity of demand is when the income increases at the same rate the quantity of goods and services demanded rises therefore a coefficient is constant.
the low elasticity of demand is when income increases at a lower rate than the increase in the quantity demanded. positive but low coefficient.
The negative elasticity of demand is when an income increases and the quantity decreases therefore a negative coefficient is seen.
Answer:
-25.
Step-by-step explanation:
What is the difference of outputs for any two inputs that are one value apart?
If you look at the column of "x" [input], you will see that they are 1 unit apart. You can thus look at the corresponding values of "f(x)" [output] and determine their difference. Checking all of those, gives us the difference (same for all).
Output 2 - Output 1:
Output 3 - Output 2:
Output 4 - Output 3:
Output 5 - Output 4:
So the difference of outputs for any two inputs one value apart are
