Answer:
4 packs of sticks
2 packs of brushes
Step-by-step explanation:
I estimated to start and then proved it by
10.50 x 4 equaling 42
24 x 2 equaling 48
Add them to get 90.
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The two factors multiplied together to make a trinomial is (x-1)(3x-2).
Given equation is 3x²-5x+2.
An algebraic equation which of the second degree in x is known as quadratic equation. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.
In the given equation,
Multiply the first coefficient 3 with the last coefficient 2 so we get 2×3=6
Use any two numbers which on multiply give 6 and on adding or subtracting give -5.
Such two numbers are -2 and -3
On multiplying, (-3)×(-2)=6
On Adding, -3-2=-5
So, break -5x into -3x and -2x and we get
3x²-3x-2x+2
Taking out 3x common from the first two terms and -2 from the last two terms as
3x(x-1)-2(x-1)
Taking out the common term (x-1) as common and get
(x-1)(3x-2)
Hence, the two factors of the equation 3x²-5x+2 that can be multiplied together to make this trinomial is (x-1)(3x-2).
Learn more about factorization from here brainly.com/question/22673662
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The first step to solving this problem is Multiplying In(x-1).
General rule for multiplication or division between 2 numbers:
if you multiply or divide by:
1. same signs, answer is postive
2. different signs, answer is negative
so we have a -12 and a +9.9 so the answer is negative
then you divide 12 by 9.9
so the answer is negatiive, remember that
then divide as if positive
do
12/9.9
multiply by 10/10
120/99
simplify
120/99
factor out the 3/3
40/33
do the division (you can use calculator)
1.212121212121212121212121212
then it is negative so
-1.212121
Answer:
The maximum profit of $ 10277.32____ can be made when the selling price of the dog food is set to $ _34___ per bag.
Step-by-step explanation:
Profit = Revenue - Cost
P(x) = R(x) -C(x)
= -31.72x^2 + 2,030x
-( -126.96x + 26,391)
Distribute the minus sign
= -31.72x^2 + 2,030x+126.96x - 26,391
Combine like terms
= -31.72 x^2 + 2156.96 x - 26391
This is a parabola. It is facing downwards. The maximum profits is at the vertex ( where the max is)
vertex = h = -b/2a = -(2156.96)/(2*-31.72) = -2156.96/-63.44=34
Evaluate P(x) at x=34 to determine the profit
P(34) = -31.72 (34)^2 + 2156.96 (34) - 26391
-36668.32+73336.64-26391
10277.32