Answer:
y = 3x + 4
Step-by-step explanation:
According to the given question, the expression to represent all the books in Ms. Canton's bookcase is shown below:-
y indicates the total amount of books
x indicates the equal cost of books on 3 bookshelves
while
+4 indicates 4 other books on the fourth bookshelf
So, the expression will be
y = 3x + 4
Therefore the correct answer is y = 3x + 4
The slope of the line can be defined as y = mx + b, where m is the slope
To find the slope, one will need to use the expression Δy/Δx (y final - y initial)/(x final - x initial)
For this problem, that equals 1/3
Now we will use the point slope form
(y - y initial) = m (x - x initial):
y + 1 = 1/3 (x - 2)
y = 1/3x - 5/3
Answer: A
Step-by-step explanation:
Subtract 12 from both sides:
y + 15 - 15 < 3 - 15
Simplify:
y < -12
Answer:
175 cm³
Step-by-step explanation:
Volume = área * thick
Volume = 35cm² * 5cn
Volume = 175 cm³
Answer: the cost per unit of gas is $0.28
Step-by-step explanation:
Let x represent the cost per unit of electricity.
Let y represent the cost per unit of gas.
During one month, a homeowner used 500 units of electricity and 100 units of gas for a total cost of $333. This is expressed as
500x + 100y = 333 - - - -- - -- - -- -1
The next month, 400 units of electricity and 150 units of gas were used for a total cost of $286. This is expressed as
400x + 150y = 286 - - - - - - - - - --2
Multiplying equation 1 by 400 and equation 2 by 500, it becomes
200000x + 40000y = 133200
200000x + 75000y = 143000
Subtracting, it becomes
- 35000y = - 9800
y = - 9800/- 35000
y = 0.28
Substituting y = 0.28 into equation 2, it becomes
400x + 150 × 0.28 = 286
400x = 286 - 42 = 244
x = 244/400 = 0.61
