Step-by-step explanation:
x² - 14x - 51 = 0
(x² - 17x) + (3x - 51) = 0
x(x - 17) + 3(x - 17) = 0
(x + 3) (x - 17) = 0
x + 3 = 0 eq1
x = 0 - 3
x = -3
x - 17 = 0 eq1
x = 0 + 17
x = 17
Answer:
y = 3/5x - 17/5
Step-by-step explanation:
slope formula: (y₂ - y₁) / (x₂ - x₁)
First, plug in these values of the two given points.
(-4 - (-1)) / (-1 - 4)
Simplify within the parentheses.
(-4 + 1) / (-1 - 4)
(-3) / (-5)
3/5
This is your slope. Plug this into a standard slope-intercept equation: y = mx + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (-1, -4). Plug in the x and y values into the x and y of the standard equation.
-4 = 3/5(-1) + b
Multiply.
-4 = -3/5 + b
Add 3/5 to both sides. -- To add it easier, <em>convert 4 to a have a denominator of 5</em>.
-20/5 = -3/5 + b
-20/5 + 3/5 = b
-17/5 = b
Now, plug this into your standard equation.
y = 3/5x - 17/5
Check this equation by plugging in the <em>other point you did not use</em> (4, -1)
-1 = 3/5(4) - 17/5
-1 = 12/5 - 17/5
-1 = -5/5
-1 = -1
Your answer is correct!
Hope this helps!
The probability as a fraction is 1/7, which in decimal form is roughly 0.142857
To get this answer, you divide 2/14 = 1/17 = 0.142857...
The 2 refers to the number of pages you want to have (page 2; page 7). The 14 is the total number of pages you're working with.
Answer:
line
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:-5/5= -1 2 times -1=-2
