Answer:
Student B is correct
Student A failed to distribute -4 and -6 when opening the brackets in the first step
Step-by-step explanation:
The solution Student A gave was:
2x - 4(3x + 6) = -6(2x + 1) - 4
2x - 12x + 6 = -12x + 1 - 4
-10x + 6 = -12x - 3
2x = -9
x = -4 _1 2 ( -4 1/2)
The solution Student B gave was:
2x - 4(3x + 6) = -6(2x + 1) - 4
2x - 12x - 24 = -12x - 6 - 4
-10x - 24 = -12x - 10
2x = 14
x = 7
Student B is correct.
Explanation of the error:
Student A failed to distribute -4 and -6 when opening the brackets in the first step.
That is,
2x - 4(3x + 6) = -6(2x + 1) - 4
To open this bracket, we will distribute, -4 and -6 so that we get
2x (-4 × 3x) + (-4 × +6) = (-6×2x) + (-6 × +1) - 4
Then we will get
2x -12x -24 = -12x -6 -4
Adding the like terms
-10x - 24 = -12x - 10
Collecting like terms
-10x + 12x = -10 + 24
∴ 2x = 14
x = 14 / 2
Hence,
x = 7
Answer:
Step-by-step explanation:
Juan has 20 books to sell. He sells the books for $15 each.
The range of the function is the set of all possible values of the dependent variable. The dependent variable here is the amount of money that is made and this amount depends on
the number of books, x sold
The amount of money Juan makes from selling books is represented by a fucntion. f(x)=15x
The maximum amount that can be made from 20 books at a rate of $15 each would be 20×15 = $300
The minimum amount that fan be made is $0 and this is when no book is sold. Let y = f(x). So the range is
0 lesser than or equal to y lesser than or equal to 300
Answer:
d. The slope of the relationship between firstfloorsquarefootage and price is moresteep for homes near the beach than elsewhere in Tampa.
Step-by-step explanation:
In this regression model, we have a positive slope. This positive slope is indicative of an increase. So to interpret this slope, we would say that the slope of the relationship that exists between the two variables (price and firstfloorsquarefootage) is steeper for the homes that are closer to the beach compared to the ones that are elsewhere. Therefore option D is our answer.
Answer:
a) -10 b) 7
Step-by-step explanation:
a) 2(x+ 3) = x - 4
2x + 6 = x - 4
2x - x = -6 - 4
x = -10
b) 4(5x - 2) = 2(9x + 3)
20x - 8 = 18x + 6
20x - 18x = 6 + 8
2x = 14
x = 14/2
x = 7
Answer:
6003
Step-by-step explanation:
Given : They harvested 5491 apples from one side of the McMillan farm.
They harvested 512 from the other side of the farm.
To Find : The total number of apples harvested at the McMillan.
Solution :
Since we know that
Number of apples harvested from one side of the McMillan farm = 5491
Number of apples harvested from other side of the McMillan farm = 512
Now we are supposed to calculate the total number of apples
So, we need to sum the number of apples of both the sides .
⇒5491+512
⇒6003
Hence , the number of apples harvested at the McMillan is 6003