You just need two points to graph a line.
When x = 1
y - 4 = -1/4(1 - 5)
y - 4 = -1/4(-4)
y - 4 = 4/4
y - 4 = 1
y = 5
So, we have our first point, (1,5)
When x = 2
y - 4 = -1/4(2 - 5)
y - 4 = -1/4(-3)
y - 4 = 3/4
y = 4 3/4
Now we have the point (2, 4 3/4)
Now just run a line through the two points and you're done!
Answer: 1 and 3/70
Explanation: Find the least common denominator and then combine like terms. The LCM is 70.
Note for probability, if it will never happen the P = 0. If it must happen P = 1.
So certain to happen:
C. P=1
Answer:
x = 2
Step-by-step explanation:
(x² logₓ27) log₉x = x + 4
Use change of base formula.
x² (log 27 / log x) (log x / log 9) = x + 4
Simplify.
x² (log 27 / log 9) = x + 4
x² (log 3³ / log 3²) = x + 4
x² (3 log 3 / (2 log 3)) = x + 4
x² (3 / 2) = x + 4
3x² = 2x + 8
3x² − 2x − 8 = 0
(x − 2) (3x + 4) = 0
x = 2 or -4/3
Since x > 0, x = 2.
Answer:
The slope is 1/2
Step-by-step explanation:
To get the slope, we select any two points on the line and apply the slope formula
The points are;
(5,4) and (9,6)
The formula for the slope is;
m = (y2-y1)/(x2-x1)
m = (6-4)/(9-5) = 2/4 = 1/2
