Diberi fungsi f:x = 2x + 5 dan g:x=X^2-3,cari f^-1g(-3)
1 answer:
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Answer:
The graph in the attached figure
Step-by-step explanation:
Let
f -----> the number of pounds of fertilizer
s ----> the number of pounds of seeds
we know that
The inequality that represent the situation is
using a graphing tool
see the attached figure
The solution is the triangular shaded area
Answer:
Step-by-step explanation:
We have 36 characters in total which we can use in order to form a 6 character password.
For each place in this password we have choice of 36 of them, so, the total number of possible passwords of 6 characters is:
But, we have to exclude all passwords which have no numbers because, by the task, the password must contain at least one digit.
So, now we have choice of 26 characteristic to form password without digits and get passwords like that, contained just of letters without digits.
So, the final answer is that we have 6-character passwords with at least one digit.
<h3>Answer: 4w^2+190w</h3>
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Explanation:
Check out the attached image below. Specifically, take a look at figure 1. We start with a rectangle which is 70 meters by 25 meters. Then we extend this rectangle out by adding two copies of w to each dimension having the larger rectangle be (70+2w) meters by (25+2w) meters.
The original smaller rectangle has area of 70*25 = 1750 square meters.
The new larger rectangle area is a bit more tricky to figure out, though its not too bad once you get the hang of it. You could use the FOIL rule to get
(70+2w)(25+2w) = 70*25+70*2w+2w*25+2w*2w
(70+2w)(25+2w) = 1750+140w+50w+4w^2
(70+2w)(25+2w) = 1750+190w+4w^2
(70+2w)(25+2w) = 4w^2+190w+1750
Or you could use the box method shown in figure 2.
The idea is to write the terms of (70+2w) and (25+2w) along the edges of the box. Then filling out the 4 inner boxes involves multiplying the outer terms. Example: row1,column2 has 50w inside it because we multiply the outer terms 25 and 2w to get 25*2w = 50w. The other boxes are filled out in a similar fashion.
Although the FOIL rule is handy and taught in a lot of math books/classes, I prefer the box method because the box method can be extended to other cases (not just multiplying two binomials).
Whichever method you use, the larger rectangle has area 4w^2+190w+1750 square meters.
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So,
A = area of larger rectangle = 4w^2+190w+1750
B = area of smaller rectangle = 1750
C = difference in areas of A and B
C = A - B
C = ( A ) - ( B )
C = ( 4w^2+190w+1750 ) - ( 1750 )
C = 4w^2+190w+1750-1750
C = 4w^2+190w
This represents the area of just the tile border alone. We started with the larger rectangle and took out the smaller rectangle inside to only have the border left over.
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If you want, you can factor out a 'w' to get
4w^2+190w = w(4w+190)
Though this may be optional.