Answer: They will charge same amount for 360 minutes of calls.
Step-by-step explanation:
A phone company offers two monthly plans plan A cost $9 Plus And additional 0.12 $ for each minute of calls. Plan B cost $27 plus an additional $0.07 for each minute of calls
For what amount of calling do the two plans cost the same?
Let the each minute of calls be 'x'.
So, for plan A would be
plan A cost $9 Plus And additional 0.12 $ for each minute of calls is expressed as
Plan B cost $27 plus an additional $0.07 for each minute of calls is expressed as
According to question, it becomes,
Hence, they will charge same amount for 360 minutes of calls.
Answer: 
Step-by-step explanation:
You can do long division, which is very very hard to show with typing on a keyboard. You essentially want to divide the leading coefficient for each term. Ill try my best to explain it.
Do 
. Write 2x^2 down. Now multiply (x - 3) by it. Then subtract it from the trinomial.
Now do 
. Write that down next to your 2x^2. Multiply 3x by (x - 3) to get:
Your final step is to do 
. Write this -2 next to your other two parts
Multiply -2 by (x - 3) to get:
Our remainder is 0 so that means (x - 3) goes into that trinomial exactly:
times
Answer:
k=24
Step-by-step explanation:
The tangent of the function f at x=a, can be found by differentiating f w.r.t. x and then replacing x with a.
f=-x^2+8x+20
Differentiating both sides:
f'=(-x^2+8x+20)'
By sum rule:
f'=(-x^2)'+(8x)'+(20)'
By constant multiple rule:
f'=-(x^2)'+8(x)'+(20)'
By constant rule:
f'=-(x^2)+8(x)'+0
By power rule:
f'=-2x+8
f' at x=a is -2a+8
This is the slope of any tangent line to the curve f.
The slope of g is 4 if you compare it to slope intercept form y=mx+b.
So we gave -2a+8=4.
Subtracr 8 on both sides: -2a=-4
Divide both sides by -2: a=2
The tangent line to the curve at x=2 is y=4x+k.
To tind y we must first know the y-coordinate of the point of tangency.
If x=2, then
f(2)=-(2)^2+8(2)+20=-4+16+20=12+20=32
So the point is (2,32).
g(x)=4x+k and we know g(2)=32.
This gives us:
32=4(2)+k
32=8+k
k=32-8
k=24
And 49 mile costs $39.20
So 1 mile costs $0.80
$0.8 x 34 = $27.20
