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Vlada [557]
3 years ago
14

What are the domain and range of the function below? Domain[0, ∞). range (-∞, ∞). Domain[0, ∞). Range (-∞,4). Domain(0,4). Range

(-∞, ∞). Domain(-∞,4]. Range[0, ∞).
HELP IMMEDIATELY PLEASE

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
7 0

Answer:

Domain[0, ∞). Range (-∞,4).

Step-by-step explanation:

domain is your lowest x (zero) to your highest x (infinity)

range is the lowest y (negative infinity) to your highest y (four)

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8. A cubic function with a leading coefficient of -2, with one positive zero.
Serggg [28]

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>

<em />

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

8 0
3 years ago
2. Olivia is buying juice boxes for a party. She is comparing two brands to determine the best price. The price for a carton con
ololo11 [35]
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
3 0
3 years ago
The concrete company pours 8 sections of sidewalk each of which is 2 5/6 feet long. What is the length of the entire sidewalk th
Simora [160]

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

8 0
3 years ago
If the flour to sugar ratio is 5 liters flour to 1 liter sugar, then how much sugar is needed if only 2 liters of flour are used
a_sh-v [17]
2/5 because you used 2/5 of the flour, you would use 2/5 of the sugar.
5 0
3 years ago
Read 2 more answers
Company A charges $107 and allows unlimited mileage.
skad [1K]

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.

7 0
3 years ago
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