Answer:
Example: <em>- 2x³ + 10x²</em>
Step-by-step explanation:
1.<em>A cubic function</em> is a polynomial of degree 3 in one variable. This means that the highest exponent of the variable is 3: <em>x³</em>
2. <em>Leading coefficient</em> is the coefficient of the term with the highest exponent: in <em>ax³</em> <em>the leading coefficient is a</em>.
3. General form of a <em>cubic function</em>: ax³ + bx² + cx + d, where a ≠ 0
4. <em>Zeros</em> of a polynomial function are the values of x for which the polynomial values zero: <em>ax³ + bx² + cx + d = 0</em>
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5. When the polinomial is factored you can tell easily which the zeros are.
This is how a factored cubic function looks: a(x - x₁)(x - x₂)(x - x₃), where <em>a is the leading coefficient, and x₁, x₂, and x₃ are the three zeroes of the function</em>.
With that, you can write a cubic function with the restrictions stated:
- l<em>eading coefficien of - 2</em>: a = - 2
- <em>one positive zero</em>: x₁ = 5
- for facility, make the other zeros equal to zero, x₂ = 0, and x₃ = 0
- name the function f(x)
result: f(x) = - 2( x -5)(x - 0)(x -0) = -2(x - 5)(x)(x)
- Expand the expression using distributive property:
- 2x³ + 10x²
1 carton : 8 boxes for 2.80 = 2.80/8 = 0.35 per box (All natural juice)
1 carton : 6 boxes for 1.98 = 1.98/6 = 0.33 per box (Just juice)
difference between the 2 is 0.02 (2 cents)
if she paid 7.92 for x cartons of Just Juice, 7.92 / 0.33 = 24 boxes...and there are 6 boxes per carton.....24/6 = 4 cartons were bought for $ 7.92
price for same number of juice boxes of All Natural juice is :
24 * 0.35 = $ 8.40
Answer: 22 2/3 feet
Step-by-step explanation:
From the question, a concrete company pours 8 sections of sidewalk each of which is 2 5/6 feet long. The length of the entire sidewalk that the concrete company pours will be calculated by multiplying 8 by 2 5/6 feet. This will be:
= 8 × 2 5/6
= 8 × 17/6
= 136/6
= 22 2/3 feet
2/5 because you used 2/5 of the flour, you would use 2/5 of the sugar.
Answer:
At mile 3 company A will start charging less.
Step-by-step explanation:
I came to this conclusion by realizing that no matter what company A will always charge $107 so, in theory all we needed to do was get company eight to $108. So having this mind set I created the equation, 65 + .70x . I continuously kept on changing what was in x until the price was just above Company A's. And the number that got me there was 3.
