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lubasha [3.4K]
3 years ago
12

Select the correct answer. 3 A linear function has a y-intercept of -12 and a slope of 3/2. What is the equation of the line?

Mathematics
1 answer:
emmasim [6.3K]3 years ago
8 0

Answer:

a. y = 3/2x - 12

Step-by-step explanation:

Slope is y = mx + b

Slope or m = 3/2

y-intercept or b = -12

Substitute m for 3/2 and b for -12 then the answer would be y = 3/2x - 12

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Christine bought 4 sandwiches and 5 bowls of soup, spending $38.50.Adam spent $47.25 to buy three sandwiches and nine bowls of s
ikadub [295]
Sandwiches are $5.25 Bowls are $3.50

4x+5y=38.50
3x+9y=47.25
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3 years ago
SV is angle bisector of
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Answer:

<h3>Sv is angle bisector of rst.</h3>
8 0
2 years ago
The manufacturer of a weight-training bench spends $15 to build each bench and sells them for $32. The manufacturer also has fix
nasty-shy [4]

Answer:

Step-by-step explanation:

C(x) = 15x + 25,500....cost function

R(x) = 32x .....revenue function

break even point (when they are equal)....so set them equal and solve for x

15x + 25,500 = 32x

25,500 = 32x - 15x

25,500 = 17x

25,500 / 17 = x

1500 = x.......so the break even point is when 1500 benches are sold

15x + 25,500 =                                   32x =

15(1500) + 25,500                              32(1500) =

22,500 + 25,500                                48,000

48,000

and after selling 1500 benches, they will both equal $48,000

7 0
3 years ago
. In a class of all boys, 18 boys like to play chess, 23 like to play soccer, 21 like biking and 17 like hiking. The number of t
Bingel [31]

Answer:

  40

Step-by-step explanation:

It can help to make a diagram of some sort. Here is a sort of Karnaugh map. A Venn diagram can also work, or something like the one in the second attachment.

In the attachment of the first diagram, the rows and columns are labeled with 00, 01, 11, 10 — all the possible combinations of the two "likes" on that side of the diagram. A 0 indicates no like; 1 indicates a 'like to play'. Thus the "01" ro on the chess/soccer side of the board indicates "don't like to play chess and do like to play soccer." The numbers on this row will contribute to the number who like to play soccer, but not to the number who like to play chess.

Similarly, the "10" column on the hiking/biking side of the diagram indicates "like hiking but don't like biking." Numbers in this column will contribute to the counts of boys that like hiking, but will not contribute to the numbers who like biking.

For a problem of this nature, it often works well to start with the number who like all four activities. That "3" goes into the square on the "11" row and the "11" column, indicating all four activities are liked.

The total for "like chess, soccer, and hiking" is also 3, so the number in the 11 row and 10 column must be 0. That is, "like chess, soccer, and hiking" includes both those who do and those who don't like biking. If all three like biking, then there will be 0 who like chess, soccer, and hiking, but don't like biking.

The numbers at the right side or bottom of the main array are totals for rows, columns, or pairs of them.

The numbers in black are given in the problem statement. The numbers in red are derived by addition or subtraction to make the totals come out.

The colored squares have the totals indicated at lower right. In each case, the corresponding color in the main array is at the lower left of a 4-square block.

__

Once all the numbers are figured out, they can be totaled to find the number of boys in the class. That total is 40 boys.

4 0
3 years ago
Read 2 more answers
The set A = {1, 3, 5}. What is a larger set this might be a subset of?
Bogdan [553]

Answer:

Step-by-step explanation:

A larger set that a particular set can be a subset of is a Universal set. A universal set is parent where all other sets are derived from.

For example, given a universal set U = {1,2,3,4,5}, a set A = {1, 3, 5} is said to be a subset of the set U because the elements of set B are contained in the Universal set U.

Also, sets like {1, 4,5} and {3,4,5} can also be regarded as the subset of U since all the elements of the sets can be found in the Universal set U. Hence the correct name of the set is a UNIVERSAL SET

4 0
3 years ago
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