Answer:
3x - 8
Step-by-step explanation:
To find f(x + 1) substitute x = x + 1 into f(x)
f(x + 1) = 3(x + 1) - 7 = 3x + 3 - 7 = 3x - 4
Similarly
f(1) = 3(1) - 7 = 3 - 7 = - 4
Hence
f(x + 1) + f(1) = 3x - 4 - 4 = 3x - 8
Answer:
C.
Step-by-step explanation:
(f+g)(x) ➡ f(x) + g(x)
x/2 - 2 + 2x^2 + x - 3 = 2x^2 + 3x/2 -5
Answer:
The equation of the quadratic graph is f(x)= - (1/8) (x-3)^2 + 3 (second option)
Step-by-step explanation:
Focus: F=(3,1)=(xf, yf)→xf=3, yf=1
Directrix: y=5 (horizontal line), then the axis of the parabola is vertical, and the equation has the form:
f(x)=[1 / (4p)] (x-h)^2+k
where Vertex: V=(h,k)
The directix y=5 must intercept the axis of the parabola at the point (3,5), and the vertex is the midpoint between this point and the focus:
Vertex is the midpoint between (3,5) and (3,1):
h=(3+3)/2→h=6/2→h=3
k=(5+1)/2→k=6/2→k=3
Vertex: V=(h,k)→V=(3,3)
p=yf-k→p=1-3→p=-2
Replacing the values in the equation:
f(x)= [ 1 / (4(-2)) ] (x-3)^2 + 3
f(x)=[ 1 / (-8) ] (x-3)^2 + 3
f(x)= - (1/8) (x-3)^2 + 3
Answer:
153.8 I guess... this is your answer
Answer:
Step-by-step explanation:
Let x represent the amount of medical bills that Giselle has to pay.
Assume she has over $160 in bills,
it means that
x > 160
Under plan A, Giselle would have to pay the first $110 of her medical bills, plus 35% of the rest. Therefore, she will have to pay for
35/100 × (x - 110) = 0.35(x - 110)
Under plan B, Giselle would pay the first $160, but only 20% of the rest. Therefore, she will have to pay for
20/100 × (x - 160) = 0.2(x - 160)
Therefore, the amount of medical bills that plan B will save is
0.35(x - 110) - 0.2(x - 160) = 0.35x - 38.5 - 0.2x + 32
0.15x + 6.5
Substituting x = 160 into 0.15x + 6.5, it becomes
0.15 × 160 + 6.5 = $30.5
Total bills would be 160 + 30.5 = 190.5
Therefore, Giselle would save $30.5 with plan B if she had more than $190.5 in bills.
