The zeros are (7,0) and (-6,0).
Answer:
y = 50 + 25x.............(i)
y = 80 + 15x.............(ii)
x = 3
y = 125
Step-by-step explanation:
The tucker Gym charges a one time fee of $50 plus a $25 monthly membership charge.
The NoFo health club charges a one time fee of $80 plus a $15 monthly membership fee.
Let
number of month = x
total cost = y
Tucker Gym
y = 50 + 25x.............(i)
NoFo Gym
y = 80 + 15x.............(ii)
combining the equation
y = 50 + 25x.............(i)
y = 80 + 15x.............(ii)
y - 50 = 25x
y/25 - 2 = x
insert x in equation (ii)
y = 80 + 15(y/25 - 2)
y = 80 + 3y/5 - 30
y = 50 + 3y/5
y - 3y/5 = 50
5y - 3y/5 = 50
2y/5 = 50
cross multiply
2y = 250
y = 250/2
y = 125
insert y in equation (i)
125 = 50 + 25x
125 - 50 = 25x
75 = 25x
x = 75/25
x = 3
Answer:
a. 9 pounds of broccoli and 1 pound of zucchini
b. 7lbs broccoli and 2 lbs of zucchini
c. 6lbs zucchini and 4lbs broccoli.
Step-by-step explanation:
a. well just come up with 2 numbers that equal up to 10 so yea.
b. 7lbs broccoli 2 lbs of zucchini - this is 9 lbs of veggies but it costs 17 dollars because (7*2)+(2*1.50)=17
14+3=17 (the 7 and 2 is the amount of pounds of veggies and the 2 and 1.50 are the prices)
c. it would be 6 lbs of zucchini and 4 lbs of broccoli because 6+4=10 and (6*1.50)+(4*2)=17
Answer:
The value of g(22) = 31
Hence, option D is correct.
Step-by-step explanation:
Given
To determine
g(f(2)) = ?
To determine g(f(2)), first, we need to calculate f(2)
so substitute x = 2 in f(x)= 4x³ – 10
f(x)= 4x³ – 10
f(2) = 4(2)³ - 10
f(2) = 32 - 10
f(2) = 22
so
g(f(2)) = g(22)
now substitute x = 22 in g(x) = [3x - 4] / [2]
g(x) = [3x - 4] / [2]
g(22) = [3(22) - 4] / [2]
g(22) = [66-4] / [2]
g(22) = [62] / [2]
g(22) = 31
so
g(f(2)) = g(22) = 31
Therefore, the value of g(22) = 31
Hence, option D is correct.
