You would need to multiply the monthly cost, $14, by the number of months and then that would be added to the cost to join, $25
For 6 months it would cost 14 x 6 = 84 + 25 = $109
The answer would be C.
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
To determine the degree of a polynomial, you look at every term:
- if the term involves only one variable, the degree of that term is the exponent of the variable
- if the term involves more than one variable, the degree of that term is the sum of the exponents of the variables.
So, for example, the degree of 
is 55, while the degree of 
is 
Finally, the term of the degree of the polynomial is the highest degree among its terms.
So, 
is a degree 2 polynomial (although it only has one term)
similarly, 
is a degree 3 polynomial: the first two terms have degree 3, because they have exponents 2 and 1.
Answer:
(0, 2)
Step-by-step explanation:
1. Plot the pionts on a graph
2.You can see the possible turning point is (0, 2). It changes from decreasing to increasing.
