Answer: 21n^4 -46n^3 -4n^2 +7n
Step-by-step explanation:
21n^4 +3n^3 +3n^2 -49n^3 -7n^2 +7n =
21n^4 -46n^3 -4n^2 +7n
Answer: (8,1)
Step-by-step explanation:
The line that connects (-4,5) and (2,3) has a slope of (-2/6) or -1/3. The y-intercept is calculated from one of the points: 3 = -(1/3)*(2) + b
b = 3 2/3
The equation for the line is y = -(1/3)x + 3 2/3
The reflection covers a distance of x of (2 - (-4)) = 6. Add 6 to the x value of (2,3) and calculate the resulting y. (8,y): y = -(1/3)(8) + 3 2/3, y = -8/3 + 11/3 = 3/3 or 1
The point is (8,1)
Answer: 356 crates
Step-by-step explanation:
1 pound = 16 ounces
Then 160 ounces = 10 pounds
if 1 crate is of 10 pounds then 3560 pounds contains 3560/10 crates
First question:
4(3x-5) + (2x -2)(4 + 3x-5)
Simplify -----> 12x - 20 + (2x-2)(3x-1)
Multiply the second part -----> 12x - 20 + 6x^2 -8x + 2
Combine like terms --------> 6x^2 + 4x - 18
Each side of the addition sign represents one of the rectangles above which is then added to get the area of the entire figure.
Second question:
The average is the summation of each data value divided by the number of data values. So it would be
(4 + 5 + 9)/ 3
Simplify ------> 18/3
Divide --------> 6
Answer:
It intersects the x-axis at x = 10
Step-by-step explanation:
Step 1: Find slope <em>m</em>
m = (5 - 1)/(5 - 9)
m = 4/-4
m = -1
y = -x + b
Step 2: Find <em>b</em>
5 = -5 + b
b = 10
Step 3: Rewrite equation
y = -x + 10
Step 4: Find <em>x</em> when <em>y</em> = 0
0 = -x + 10
-10 = -x
x = 10
So the graph crosses the x-axis at 10.