Answer:
(x - 2)/3
(x - 4)/-5 or (-x + 4)/5
Step-by-step explanation:
this is an inverse function, and to solve an inverse function you would :
swap x and g(x) without bringing the x coefficient with it, just simply swap the variables. Then, solve for g(x), and that's it
the first question's answer is :
g(x) = 3x + 2
x = 3(g(x)) + 2
x - 2 = 3(g(x))
(x - 2)/3 = g(x)
the second one is:
g(x) = 4 - 5x
x = 4 - 5(g(x))
x - 4 = -5(g(x))
(x-4)/-5 = g(x)
1 / 5 = 0.2 pesos.
125 * 0.2 = 25 pesos el litro
Answer:
Step-by-step explanation:
Quadratic function is given as 
Let's find a, b and c:
Substituting (0, 6):
Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.
Substituting (2, 16), and c = 6
=> (Equation 1)
Substituting (3, 33), and c = 6
=> (Equation 2)
Subtract equation 1 from equation 2 to solve simultaneously for a and b.
Replace a with 4 in equation 2.
The quadratic function that represents the given 3 points would be as follows:
Answer:
The inequality tha can be used to find how many more bags of popcorn Jeff still needs to sell today to make a profit is
x - 12 ≥ 40.
Step-by-step explanation:
Let us represent the number of bags of popcorn as p
Jeff sells popcorn for $3 per bag. To make a profit each day, he needs to sell at least $120 worth of popcorn.
We have the equation:
$3 × p ≥ $120
3p ≥ $120
p ≥ 120/3
p ≥ 40 bags
He must sell at least 40 bags to make a profit
He has sold $36 worth of popcorn today.
1 bag is $3
Hence, he has sold
$36/$3 = 12 bags of popcorn
Which inequality can be used to find Jeff still needs to sell today to make a profit?
This equality is given as:
x - 12 bags ≥ 40 bags
x - 12 ≥ 40
x ≥40 - 12
x ≥ 28 bags
She still need to sell 28 more bags of popcorn.
50 inches 4/5*x=40
x=40/(4/5)
x=40*5/4=200/4=50 x=50 inches
