F(6) says “take f(x) = -4x + 11 and put 6 in for every x-value and then clean it up.”
f(6) = -4(6) + 11
= -24 + 11
= -13
f(x) = -1 says “set your function equal to -1 and solve for x”
f(x) = -1
-4x+11 = -1
-4x = -12
x = 3
So f(3) = -1.
I believe the sum of the root is: -3/2
And the product of the root is: 0
I hope this helps and have a great week :)
We can readily know the x^2-4x+4=3y then use it to replace the same function in the first equation which refers to the 3y+y^2-6y=0
y^2-3y=0
y(y-3)=0
y1=0 -----------y2=3
The solution of the equation is x = 2
Step-by-step explanation:
The original equation is
We solve it using the following steps:
1) We apply the addition property of equality: by adding the same factor on both sides of the equation, the equation does not change.
In this case, we add +10 on both sides, and we get:
2) We apply the division property of equality: by dividing both sides of the equation by the same number (different from zero), the equation does not change.
In this case, we divide both sides of the equation by 5, and we get:
Therefore, the solution of the equation is 
.
Learn more about solving equations:
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Answer:
Function:
c = f(w) = 0.49, 0 < w ≤ 1
= 0.70, 1 < w ≤ 2
= 0.91, 2 < w ≤ 3
Step-by-step explanation:
Yes, the relation described can be interpreted as a function.
Here, c is the cost of a mail letter. c depends upon w, which is the weights of the mail letter.
As described in the question, the relation can be expressed as a function.
c can be expressed as a function of w in the following manner:
c(cost of mail) = f(w), where w is the independent variable and c is the dependent variable
c = f(w) = 0.49, 0 < w ≤ 1
= 0.70, 1 < w ≤ 2
= 0.91, 2 < w ≤ 3
where, c is in dollars and w is in ounces.
