First term (a) = -15
common difference(d)= -9-(-15)
= -9+15=6
So,
12th term(a12)= a +(n-1)d
= -15+(12-1)×6
= -15 + 11×6
= -15+66
= 51
Answer:
1. y+5=4x-40
2.y=4x-45
Step-by-step explanation:
To get the slope of a line you do y₂-y₁/x₂-x₁ so we plug in the values -9+5/9-10 and we get -4
Point-slope form states y-y₁=m(x-x₁) where m is the slope so plug in the values we get y+5=4(x-10) and you get y+5=4x-40 then turn this equation into y=mx+b and get y= 4x-45
Put a picture so we can see
A polynomial that represents the volume of the Amazon box is; V(x) = x³ - 6x² + 5x
<h3>
How to calculate the volume of a box</h3>
- Length of box = x
- Width of the box is 4 inches less than the length. Thus; width = x - 4
- Height is said to be 1 inch less than the width. Thus; height = x - 4 - 1 = x - 5
Now, the formula for volume of a box is;
V = length × width × height
Thus;
V = x • (x - 1) • (x - 5)
V = x(x² - x - 5x + 5)
V = x(x² - 6x + 5)
V(x) = x³ - 6x² + 5x
In conclusion, the polynomial that represents the volume of the Amazon box is V(x) = x³ - 6x² + 5x
Read more on volume of a box at; brainly.com/question/15532376
