Answer: 
Step-by-step explanation:
By definition, the slope of the line is described as "Rate of change".
You need to use the following formula to calcualte the slope of the line;
In this case you know that the line passes through these two points: (8, -10) and (-6, 14).
Then, you can say that:
Knowing these values, you can substitute them into the formula for calculate the slope of a line:
Finally, you must evaluate in order to find the slope of this line. You get that this is:
Answer:
x= −2 or x=3
Step-by-step explanation:
The total number of gifts = x+y.
The inequality is:
Key chains cost $1, Magnets $0.50
Total Cost = x + 0.5y
Inequality is:
Without graphing you can solve system by using substitution:
This is one solution where the maximum x value is given.
So the most keychains that can be purchased is 16. However, because magnets are cheaper, more can be purchased as long as cost remains under 20.
If you solve both inequalities for "y", you get the upper and lower bounds for how many magnets can be purchased given a quantity of keychains.
This is complete solution which gives all possible combinations.
(Graph is Attached)
Find the distance of each trip:
68 km / 34 trips = 2 km per trip
Divide total distance by distance per trip:
348 km / 2 km per trip = 174 trips
Answer: 174 trips
The distributive property: a(b + c) = ab + ac
(x - 3)(4x + 2) = (x)(4x + 2) + (-3)(4x + 2)
= (x)(4x) + (x)(2) + (-3)(4x) + (-3)(2) = 4x² + 2x - 12x - 6
<h3>= 4x² - 10x - 6</h3>
