The sum of the polynomials 2n³ + 4n² - 7 and -n³ + 8n - 2 will be n³ + 4n² + 8n - 9. Then the correct option is B.
<h3>What is polynomial?</h3>
A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.
The polynomials are given below.
2n³ + 4n² - 7 and -n³ - 8n - 2
The sum of the polynomials will be
⇒ 2n³ + 4n² - 7 + (-n³ - 8n - 2)
⇒ 2n³ + 4n² - 7 - n³ - 8n - 2
⇒ n³ + 4n² - 8n - 9
The sum of the polynomials 2n³ + 4n² - 7 and -n³ + 8n - 2 will be n³ + 4n² - 8n - 9.
Then the correct option is B.
More about the polynomial link is given below.
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Let t = the number of days the mouse travels
Let D = the distance that the mouse traveled
The mouse travels at a rate of 1.5 miles per day, so R = 1.5 mi/day
The equation is:
Distance (D) = Rate (R) x Time (t)
SO:
Distance (D) = 1.5 mi./day X Time (t)
Answer:
Given equation are:
......[1]
.....[2]
- The two lines are parallel lines then their slopes will be equal.
- When two lines are perpendicular then, the slope of lines are the negative reciprocals of each other.
Now, Equation of a line is in the form of y =mx+b where m is the slope of the line.
Slope
of equation of line in [1] is;
then;

Slope
of equation of line in [2];
Add both sides 2x we get;
-2x + 8y + 2x = 2x + 4
Simplify:
8y = 2x +4
Divide both sides by 8 we get;

then;

Therefore, the given two lines are neither parallel nor perpendicular.
Answer: it will take 40 rides to break even.
Step-by-step explanation:
Profit = Revenue - total cost
At the point of break even, there is no profit. It means that
revenue = total cost
The cost c (in dollars) for the fuel and maintenance of a go-cart is given by
c = 10x + 1200
where x is the number of rides. It costs $40 per ride. This means that the revenue gotten from x rides is 40x.
In order to break even, it means that
40x = 10x + 1200
40x - 10x = 1200
30x = 1200
x = 1200/30
x = 40