Answer:
1. 1/2
2. 4/5
3. 9/10
4. 3/4
5. 12/25
6. 18/25
Step-by-step explanation:
To find the equation of a line using two given set of points, you must first find slope. To do so, we must use the slope formula:
y2 - y1 / x2 - x1
In this case:
1 - 9 / -1 - 3 = -8 / -4
- 8 / -4 = 2 (simplified)
Now we can use the point-slope formula:
y - y1 = m(x - x1)
y - 1 = 2(x + 1 )
y - 1 = 2x + 2
y = 2x + 3
In order to make 3x - y = 6 in slope intercept form, we must isolate y.
- y = -3x + 6
Note: y cannot be negative, so we'll multiply both sides by -1
( -1 ) - y = - 3x + 6 ( -1 ) = y = 3x -6
Answer:
First option / a - y = 2x - 2
Step-by-step explanation:
We can tell it'll either be the first one or the second one as the line intercepts the y-axis at -2, so the b will be -2.
The line goes up 2 and over 1, so the slope will be 2. Putting all the pieces together gives us the first option of y = 2x - 2.
Answer:
The fossil is 1860 years old.
Step-by-step explanation:
The equation for the amount of fossil has the following format:
In which Q(t) is the amount after t years, Q(0) is the initial amount and r is the rate of change.
Half-life of c-14 is 5730 years.
This means that 
So
So
How old is the fossil?
This is t for which
So
The fossil is 1860 years old.
Answer:
)Alex picks more red cards than black cards,
Step-by-step explanation:
