Answer:
18.6 months
Step-by-step explanation:
Given that :
Best fit line from scatterplot :
y=-12.05x +224.26
x = Number of month
y = charge on battery
Number of months a typical battery uses before being dead completely :
When battery is dead completely ; charge =0, y = 0
y = -12.05x + 224.26
0 = - 12.05x + 224.26
12.05x = 224.26
x = 224.26 / 12.05
x = 18.610788
Hence, 18.6 months before battery is completely dead.
The slope of a line that is perpendicular to another line is the negative reciprocal of the other.
In this case, we know that the slope of the given equation is 2.
Since we're solving for a line perpendicular to it, we simply find the reciprocal of the 2 (It turns into 1/2) and make it negative.
y = -1/2x + b
Since the given states that the new y-intercept is 10, input it into 'b'.
y = -1/2x + 10
If you'd like me to explain anything I did here, just ask :)
-T.B.
Answer:
-2, -13
0, -3
2, 7
4, 17
Step-by-step explanation:
To fill out the table, substitute the table x-values into the equation and the y-values will fill the table.
y = 5x - 3
y = 5(-2) - 3
y = -10 - 3
y = -13
This means the table value corresponding to -2 should be -13.
y = 5x - 3
y = 5(0) - 3
y = 0 - 3
y = -3
This means the table value corresponding to 0 should be -3.
y = 5x - 3
y = 5(2) - 3
y = 10 - 3
y = 7
This means the table value corresponding to 2 should be 7.
y = 5x - 3
y = 5(4) - 3
y = 20 - 3
y = 17
This means the table value corresponding to 4 should be 17.
This question is referred to two similar triangles.
One triangle has sides x and x - 2.
The other triangle has the respective sides x + x + 5 and x - 2 + x + 1
Then you can state a proportionality relation between the sides>
[x + x + 5] / x = [x - 2 + x + 1] / [x - 2]
=> [2x + 5] / x = [2x - 1] / [x - 2]
=> (2x + 5)(x - 2) = (2x - 1)x
=> 2x^2 - 4x + 5x - 10 = 2x^2 - x
=> x - 10 = - x
=> 2x = 10
=> x = 10 / 2
=> x = 5
Answer: x = 5
Answer:
The answer is -2x+10
Step-by-step explanation:
Hope this helps
