Answer:
(2c³ -20c² -10c) -(c² -40c +100)
Step-by-step explanation:
<u>Profit</u>
For a problem involving cost, revenue, and profit, you are expected to know that <em>profit is the difference between revenue and cost</em>. That is, if it costs you $2 to make a necklace you sell for $10, your profit is $10 -2 = $8.
<u>Problem</u>
The problem gives you polynomial expressions for revenue and cost, and asks you to combine them to make an expression for profit. In this first part, we simply show <em>how</em> we will combine them. (We presume a later part of the question will ask you to simplify the result.)
profit = revenue - cost
Substituting the given expressions, we have ...
profit = (2c³ -20c² -10c) -(c² -40c +100) . . . . . matches last choice
Answer:
3
Step-by-step explanation:
Answer:
m<A=94
Step-by-step explanation:
(2x+10)+(2x+2)=180
4x+12=180
-12 -12
4x=168
/4 /4
x=42
m<A= 2x+10
m<A=2(42)+10
m<A=84+10
m<A=94
Check:
Add m<A and m<B which should equal 180.
m<B=2x+2
m<B=2(42)+2
m<B=84+2
m<B=86
94+86=180
Answer:
Option A - Neither. Lines intersect but are not perpendicular. One Solution.
Option B - Lines are equivalent. Infinitely many solutions
Option C - Lines are perpendicular. Only one solution
Option D - Lines are parallel. No solution
Step-by-step explanation:
The slope equation is known as;
y = mx + c
Where m is slope and c is intercept.
Now, two lines are parallel if their slopes are equal.
Looking at the options;
Option D with y = 12x + 6 and y = 12x - 7 have the same slope of 12.
Thus,the lines are parrallel, no solution.
Two lines are perpendicular if the product of their slopes is -1. Option C is the one that falls into this category because -2/5 × 5/2 = - 1. Thus, lines here are perpendicular and have one solution.
Two lines are said to intersect but not perpendicular if they have different slopes but their products are not -1.
Option A falls into this category because - 9 ≠ 3/2 and their product is not -1.
Two lines are said to be equivalent with infinitely many solutions when their slopes and y-intercept are equal.
Option B falls into this category.
