Answer:
(x) =
Step-by-step explanation:
let y = f(x) and rearrange making x the subject.
y = 4x + 5 ( subtract 5 from both sides )
y - 5 = 4x ( divide both sides by 4 )
= x
Change y back into terms of x
(x) =
Answer:
Answer of this question is.
three
Answer:
13 sheep, 19 chicken
Step-by-step explanation:
You can start to solve this problem by assigning variables. First, let's assign the number of sheep there are as and the number of chickens there are as .
Because each sheep has 4 legs, the number of legs for each sheep would be . Similarly, because each chicken has 2 legs, the number of legs for each chicken would be . Each animal would have 1 head, so the number of heads would just be and . Because the number of legs in total are 90, . Because the number of heads in total are 32,
There is now a system of equations with two unknown variables and two equations. There are many ways to solve this, but for me, the easiest would be elimination. First, I would double the second equation, . Then, I would subtract that from the first equation, eliminating . . Solving for x gives 13. We can then plug that value into the second equation, making y be . This means that and , meaning that there are 13 sheep and 19 chicken.
Answer:
The number is
Step-by-step explanation:
Denote the original number by z. The expression "Four less than nine times a number is one hundred twenty-two" can be rewritten in an equation.
Our number is z, then the left hand side of the equation is 9z-4.
The right side of the equation is 122. Then the complete equation is . Add 4 in both sides to get . Now, divide by 9 in both sides to get