Answer:
a) The rate of change is 3.5
b) The rate of change represents the price of a single cookie. $3.5
Step-by-step explanation:
a) To determine the rate of change along the graph, select a pair on the graph as;
(2,7) and (8,28)
Rate of change, m= change in y/change in x
m=28-7/8-2 = 21/6 =7/2 = 3.5
b)
The equation of the relationship can be written as;
y=3.5 x + 0 where y is the amount collected and x is the number of cookies sold.
The slope here represents the price per cookie in $, $3.5
Answer: x=-1
Step by step:
2|x+6|+9=19
Subtract 9 from both sides.
2|x+6|=10
Divide both sides by 2
|x+6|=5
Use the definition of absolute value.
x+6=5
Subtract 6 on both sides
x=-1
Hope this helped! :)
Answer:
well it depends on how many collars you have, and if there is an image you should attach it to the question
Answer:
i don't know
Step-by-step explanation:
you confused me
Answer:the third option is correct
Step-by-step explanation:
The system of equations are
y = 2x^2 - 5x - 7 - - - - - - - - - - -1
y = 2x + 2 - - - - - - - - - - - - - 2
We would equate equation 1 and equation 2. It becomes
2x^2 - 5x - 7 = 2x + 2
2x^2 - 5x - 2x - 7 - 2 = 0
2x^2 - 7x - 9 = 0
We would find two numbers such that their sum or difference is -7x and their product is - 18x^2. The two numbers are 2x and - 9x. Therefore
2x^2 + 2x - 9x - 9 = 0
2x(x + 1) - 9(x + 1) = 0
2x - 9 = 0 or x + 1 = 0
2x = 9 or x = - 1
x = 9/2 = 4.5
Substituting x = 4.5 or x = -1 into equation 2, it becomes
y = 2 × 4.5 + 2 or y = 2 × - 1 + 2
y = 11 or y = 0
Therefore, the solutions are
(4.5, 11) (- 1, 0)
