Answer:
y = 2x + 3.5
Step-by-step explanation:
Step 1: find the slope
8y + 4x = 64
8y = 64 - 4x
Make y the subject of the formula
y = (64 - 4x)/8
y = ( -4x + 64)/8
Separate to get slope
y = -4x/8 + 64/8
y = -x/2 + 8
Slope is the coefficient of x
m = -1/2
Note: if two lines are perpendicular to the other , it is negative reciprocal to each other
m = 2
Using the point slope form equation
y - y1 = m(x - x1)
y - y1 = 2(x - x1)
Substitute the point
( 3.5 , 0)
x1 = 3.5
y1 = 0
y - 3.5 = 2( x - 0)
open the bracket
y - 3.5 = 2x - 0
y = 2x - 0 + 3.5
y = 2x + 3.5
The equation of the line is
y = 2x + 3.5
Answer:
Company one charges $11 + $0.16 per min.
Then if you talk for x minutes, the cost will be:
C₁(x) = $11 + ($0.16 per min)*x
For company two, the prize is $20 + $0.11 per min, and if yo talk for x minutes, the cost will be:
C₂(x) = $20 + ($0.11 per min)*x
Now we want to find the value of x, the number of minutes, such that the cost is the same with both companies.
C₁(x) = C₂(x)
$11 + ($0.16 per min)*x = $20 + ($0.11 per min)*x
($0.16 per min)*x - ($0.11 per min)*x = $20 - $11
($0.05 per min)*x = $9
x = $9/($0.05 per min) = 180 mins
If you speak for 180 minutes, the cost is the same in both companies.
<span>the limit as x approaches -3 of [g(x)-g(-3)]over(x+3) is the same as the derivative, or slope, of g(x) at the point x=-3, or g'(-3).
Since you are given the equation of the tangent line, the answer is just the slope of that line.
</span><span>2y+3=-(2/3)(x-3)
</span><span>6y+9=-2(x-3)
6y+9=-2x+6
6y=-2x-3
y= (-2x-3)/6
slope is -2/6 = </span>
Answer:
use two points given or use rise over run
Answer:
<u>Undecillion</u> has 36 0's
