Well, the commission should total $1,800. This is one tenth of what he sells, so he must sell $18,000 value of merchandise.
She got 215....but if she would have gotten 10 more, she would have scored 60% of the total marks......so if she got (215 + 10) = 225 she would have scored 60% of the total marks...
so 60% of the total marks = 225
0.60x = 225
x = 225/0.60
x = 375 <===
Answer:
Step-by-step explanation:
Let's rewrite the left side keeping in mind the next propierties:
Therefore:
Now, cancel logarithms by taking exp of both sides:
Multiply both sides by 
and using distributive propierty:
Substract 
from both sides and factoring:
Multiply both sides by -1:
Split into two equations:
Solving for 
Add 4 to both sides:
Solving for 
Collect in terms of x and add 
to both sides:
Divide both sides by e-2:
The solutions are:
If we evaluate x=4 in the original equation:
This is an absurd because log (x) is undefined for 
If we evaluate in the original equation:
Which is correct, therefore the solution is:
Answer:
(2, -16).
Step-by-step explanation:
(x - 6)(x + 2)
Convert to vertex form:
Expanding the parentheses we have:
x^2 + 2x - 6x - 12
= x^2 - 4x - 12
Completing the square:
= (x - 2)^2 - 4 - 12
= (x - 2)^2 - 16
So the vertex is (2, -16),
Answer:
Scientific notation is a way of expressing, and handling, a mathematical expression used to represent a decimal number between 1 and 10 (multiplied by ten), so large numbers can be made with using less digits. An example would be writing 4 x 10³ for 4,000.
Step-by-step explanation:
