Answer:
The function is increasing from x = 0 to x = 1.
Step-by-step explanation:
The value of g(0) is less than g(1), meaning g(x) increased from x=0 to x=1.
1 is 5/5 for slope for the second one i’m not sure
Answer:
(a) f(4) = 11
(b) f(-1) = 211
(c) f(a) = 5a² -55a +151
(d) f(2/m) = (151m² -110m +20)/m²
(e) x = 5 or x = 6
Step-by-step explanation:
A graphing calculator can help with function evaluation. Sometimes numerical evaluation is easier if the function is written in Horner Form:
f(x) = (5x -55)x +151
(a) f(4) = (5·4 -55)4 +151 = -35·4 +151 = -140 +151 = 11
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(b) f(-1) = (5(-1)-55)(-1) +151 = 60 +151 = 211
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(c) Replace x with a:
f(a) = 5a² -55a +151
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(d) Replace x with 2/m; simplify.
f(2/m) = 5(2/m)² -55(2/m) +151 = 20/m² -110m +151
Factoring out 1/m², we have ...
f(2/m) = (151m² -110m +20)/m²
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(e) Solving for x when f(x) = 1, we have ...
5x² -55x +151 = 1
5x² -55x +150 = 0 . . . . subtract 1
x² -11x +30 = 0 . . . . . . . divide by 5
(x -5)(x -6) = 0 . . . . . . . . factor
Values of x that make the factors (and their product) zero are ...
x = 5, x = 6 . . . . values of x such that f(x) = 1
Answer:
Below
Step-by-step explanation:
The initial length of the road was 56. 56 is the y-intercept assuming that the graph of this function is a line.
so the equation is:
y= mx+56
m is the slope of the function wich is by how much the function grows.
By analogy, m is the distance added to the road each day.
● y= 3x+56
X is the number of days.
■■■■■■■■■■■■■■■■■■■■■■■■■■
To find the length of the road after 33 days, replace x by 33.
y= 3*33+56 = 155
So after 33 days the road is 155 miles.
Answer: it would take 22 hours before you pay the same amount for both Garages.
Step-by-step explanation:
Let x represent the number of hours that you park at either Garage A or Garage B
Let y represent the total amount paid for x hours at Garage A
Let z represent the total amount paid for x hours at Garage B
Garage A charges $11 for the first 2 hours of parking there and then $3 per hour after the first 2 hours. This means that the total amount for x hours would be
y = 2 × 11 + 3x
y = 22 + 3x
Garage B charges $4 per hours. This means that the total amount for x hours would be
z = 4x
To determine the number of hours before the amount for both Garages becomes the same, we would equate y to z. It becomes
22 + 3x = 4x
4x - 3x = 22
x = 22
