Answer:
y = 2/3x + 4
Step-by-step explanation:
Slope-intercept form of a line:
- y = mx + b
- where m = slope and b = y-intercept
To find the equation of a line, we need two points that the line passes through.
We can use the x-intercept and y-intercept of the line: (-6,0) and (0,4), respectively.
Find the slope of the line using these two points:
- Slope formula:
Plug the two points into the formula.
Subtract and simplify this fraction.
The slope of this line is m = 2/3.
Now we can look at the graph to determine the y-intercept of this line; the line intersects the y-axis at (0,4) so the constant b = 4.
We can use the slope, m, and the y-intercept, b, and substitute these values into the slope-intercept form of a line.
The equation of the line is y = 2/3x + 4.
Step-by-step explanation:
a complicated way to say "the probability to roll a number that is less or equal to 5".
and that is
5 desired cases over 6 total cases, and that means
5/6 = 0.833333333...
Answer:
No
Step-by-step explanation:
sorry if its wrong
Answer:
- x = 0 or 1
- x = ±i/4
- x = -5 (twice)
Step-by-step explanation:
Factoring is aided by having the equations in standard form. The first step in each case is to put the equations in that form. The zero product property tells you that a product is zero when a factor is zero. The solutions are the values of x that make the factors zero.
1. x^2 -x = 0
x(x -1) = 0 . . . . . x = 0 or 1
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2. 16x^2 +1 = 0
This is the "difference of squares" ...
(4x)^2 - (i)^2 = 0
(4x -i)(4x +i) = 0 . . . . . x = -i/4 or i/4 (zeros are complex)
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3. x^2 +10x +25 = 0
(x +5)(x +5) = 0 . . . . . x = -5 with multiplicity 2