Answer:
The slope would be (4,12)
Step-by-step explanation:
Answer: f(x) = -ln(x + 1) + 3
Step-by-step explanation:
We want it to be decreasing, then we can write it, for a start, as:
f(x) = -ln(x)
Ok, now we want it to have a positive y intercept, then we can add a real number inside the logarithm, and other outside: such that f(0) = positive number.
f(x) = -ln(x + 1) + 3
Now, when x = 0 we have:
f(0) = -ln(1) + 3 = 0 + 3 = 3
Then we have a decreasing logarithmic function, with an y-intercept larger than zero.
Given:
The expression is:
To find:
The resulting polynomial in standard form.
Solution:
We have,
Write subtraction of a polynomial expression as addition of the additive inverse.
Rewrite terms that are subtracted as addition of the opposite.
Group like terms.
![[6m^5+m^5]+[3+(-6)]+[(-m^3)+(-2m^3)]+[(-4m)+4m]](https://tex.z-dn.net/?f=%5B6m%5E5%2Bm%5E5%5D%2B%5B3%2B%28-6%29%5D%2B%5B%28-m%5E3%29%2B%28-2m%5E3%29%5D%2B%5B%28-4m%29%2B4m%5D)
Combine like terms.
On simplification, we get
Write the polynomial in standard form.
Therefore, the required polynomial in standard form is .
Answer:
The kitchen has a bigger actual area than the bedroom
Step-by-step explanation:
Here, we want to know the compartment with the bigger area
Since the bedroom has a drawing measure of 1 to 40; compared to the actual measurement;
The real dimensions will be;
10 * 40 and 18 * 40
= 400 by 720
So, its area which is length * width will be;
400 cm * 720 cm = 288,000 cm^2
we can see that the kitchen with an area of 300,000 cm^2 is bigger than this area of the bedroom
