Find 2 points on the line:
We will use (2,2) and (0,-6)
Find the slope of the line which is the change in Y over the change in X:
(-6-2) / (0-2) = -8/-2 = 4
The slope = 4
Find the Y intercept:
y = 4x+b
use y1 for y and x1 for x
2 = 4(2) +b
2 = 8 +b
Subtract 8 from both side:
b = -6
Now you have the slope (4) and Y intercept (-6)
The equation of the line becomes y = 4X-6
The line is solid and the shaded portion of the graph is to the left of the line and it is a positive slope so the inequality would become
y ≥ 4x -6
F(t) = 200(0.95)^t = 200(1 - 0.05)^t
<span>rate is 5% decay per unit of time.
Hopefully that is correct & I hope I helped :)</span>
Answer: 16
Step-by-step explanation:
From the question, we are informed that there are 25 markers in a bag: 5 red, 5 yellow, 5 blue, 5 green, 5 purple and that one marker is drawn out of the bag, then put back in.
The probability of picking a blue marker will be: = 5/25 = 1/5
Therefore, the number of times that a blue marker will be expected to be picked in 80 draws would be:
= 1/5 × 80
= 16 times
Answer:
x =3, y =3
Step-by-step explanation:
From the second equation( y= -x+6) we can get x alone.
Subtracting 6 from both sides we get, y-6 = -x
And then dividing both sides by -1, -y+6 = x
Then we can substitute this value of x into the first equation.
y = 2(-y+6) +3
Simplifying,
y = -2y + 12+ 3
3y = 15
y = 3
Substituting this back into second equation we get 3 = -x + 6
and -x = -3
Dividing both sides by -1,
we get x =3
