Answer:
The correct answer is 10.
Step-by-step explanation:
Faruq spends all of his income ($100) on tacos and milkshakes.
Price of tacos is $10, and the price of milkshakes is $2.
Let Faruq buy x number of tacos (horizontal axis) and y number of milkshakes (vertical axis).
Total expenditure of Faruq is given by 10 × x + 2 × y.
Since Faruq does not save anything, therefore his expenditure is equal to his income.
Thus his budget line is given by 10 × x + 2 × y = 100.
To calculate the horizontal intercept for Faruq's budget line we consider y = 0, i.e. we want to calculate how many tacos Faruq would buy when he does not buy any amount of milkshakes.
Thus taking y = 0, we get
10 × x = 100
⇒ x = 10
Thus the horizontal intercept for Faruq's budget line is 10.
Answer:
x = 6
Step-by-step explanation:
Given
3x - 11 = - 2x + 19 ( add 2x to both sides )
5x - 11 = 19 ( add 11 to both sides )
5x = 30 ( divide both sides by 5 )
x = 6
Answer:
m = -1, c = 2
Step-by-step explanation:
if A ( 3, 5) and B (1, 4) lie on the graph of the line mx + cy = 7, then their coordinates satisfy the equation of the line:
A: 
B: 
From the second equation:

Substitute it into the first equation:

Answer:
A: y= 2x +4
Step-by-step explanation:
Hopefully this helps!
a is correct
Step-by-step explanation:
Area of Bigger rectangle = 4x2 + 5x - 2
Area of Smaller rectangle = x2 + 3× + 5
diff. = ( 4x2 + 5x - 2) - (x2 + 3x - 5)
= 4x2 + 5x -2-x2 - 3x - 5
= 3x2 + 2x - 7