Answer:
(0, - 3 ) and (- 1, - 5 )
Step-by-step explanation:
Given the 2 equations
y = 4x² + 6x - 3 → (1)
y = 2x - 3 → (2)
Substitute y = 4x² + 6x - 3 into (2)
4x² + 6x - 3 = 2x - 3 ( subtract 2x - 3 from both sides )
4x² + 4x = 0 ← factor out 4x from each term
4x(x + 1) = 0
Equate each factor to zero and solve for x
4x = 0 ⇒ x = 0
x + 1 = 0 ⇒ x = - 1
Substitute these values into (2) for corresponding values of y
x = 0 : y = 2(0) - 3 = 0 - 3 = - 3 ⇒ (0, - 3 )
x = - 1 : y = 2(- 1) - 3 = - 2 - 3 = - 5 ⇒ (- 1, - 5 )
Answer:
Step-by-step explanation:
Given
Let x represent the number of tickets, and p the charges
A reduction of 50c gives an increment of 50 tickets.
This gives:
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Required
Determine the demand function
First, calculate the slope:
So, the equation is:
Hence, the function is:
Repeating decimals are considered rational numbers because they can be represented as a ratio of two integers. If a number is terminating or repeating, it must be rational if a decimal is both non terminating and non repeating, the number is irrational.
So yes.
Answer:
a or b
Step-by-step explanation:
if I did the math right it's a but I tried another way and got b, so I'm sorry if that was no help at all
Answer:
D: 0 < y < 7
Step-by-step explanation:
The domain is the input (i.e. the x values)
The range is the output (i.e. the y values)
So for the range, look at the y-coordinates of the end points of the line: (-6, 0) and (9, 7) ⇒ 0 < y < 7
