The x intercepts for this quadratic function is X = 3, and -9
Answer:
Mode: 6; it occurs the most amount of times.
Average/Mean: 4.888888.
<em>Hope this helps!</em>
Answer:
y = 4x - 2
When y = 26, x = 7.
Step-by-step explanation:
Use the two points on the line to calculate the slope of the line, then use this slope and the y-intercept to write an equation for the line.
Slope formula:
We have these two points on the graph: (1, 2), (-1, -6).
Substitute these points into the slope formula and find the slope of the line.
The slope of the line is 4. Now, use the point-slope formula to write an equation for the line.
Point-slope formula:
- y - y1 = m(x - x1)
- y - 2 = 4(x - 1)
- y -2 = 4x - 4
- y = 4x - 2
To find the value of x when y = 26, substitute y = 26 into the equation and solve for x.
- 26 = 4x - 2
- 28 = 4x
- x = 7
Let the weight of the full Volume of nails in the box be W.
Let the weight of the box be B.
2/3 W + B = 130 ........i From the first statement.
3/8 W + B = 74 ......ii From the second statement.
Equation (i) Minus (ii)
2/3 W - 3/8 W + B - B = 130 - 74
(16W - 9W) / 24 = 56
7W / 24 = 56.
W = 56 * 24 / 7
W = 192 Pounds.
Substituting V = 64 in equation (i)
2/3 W + B = 130
2/3 * 192 + B = 130
2 * 64 + B = 130
128 + B = 130
B = 130 -128 = 2.
Therefore, weight of box, B = 2 pounds.
Times bottom equation by 3 and top by 2 to get the same coefficient of x
6x-6y=60
6x+3y=33
Minus the bottom by the top
-9y=27
y=-3
substitute this in to one of the equations
2x -3 = 11
add 3 to both sides
2x=14
x=7
