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4 years ago

Consider the leading term of the polynomial function. What is the end behavior of the graph?

2 answers:

6 0

Answer: Since n is odd and a is positive, the end behavior is down and up.

lisov135 [29]4 years ago

5 0

Odd functions go up and down in the ends
even function either go up on both ends or down on both end ,

so i think the answer would be :
since n is odd and a is positive , the end behavior is up and down

hope this helps

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a rectangle has a height of n3+4n2+3n and a width of n^3+5n^2 express the area of the entire rectangle

alukav5142 [94]

Given:

It is given that the height of the rectangle is $n^3+4n^2+3n$

The width of the rectangle is $n^3+5n^2$

We need to determine the area of the entire rectangle.

Area of the rectangle:

The area of the rectangle can be determined using the formula,

$A=height \times width$

Substituting the values, we have;

$A=(n^3+4n^2+3n)(n^3+5n^2)$

Multiplying each term within the parenthesis, we get;

$A=n^{3} n^{3}+n^{3} \cdot 5 n^{2}+4 n^{2} n^{3}+4 n^{2} \cdot 5 n^{2}+3 n n^{3}+3 n \cdot 5 n^{2}$

Simplifying, we get;

$A=n^{6}+5 n^{5}+4n^{5}+20 n^{4}+3 n^{4}+15 n^{3}$

Adding the like terms, we have;

$A=n^{6}+9n^{5}+23 n^{4}+15 n^{3}$

Thus, the area of the entire rectangle is $n^{6}+9 n^{5}+23 n^{4}+15 n^{3}$

5 0

4 years ago

Match the following unit volumes with the most appropriate converted unit volume:

Xelga [282]

2.64 gal-10 liters
0.14 cubic meters -5 cubic feet
5.35 cubic meters- 7 cubic yards
6.34 pints=3 liters

8 0

4 years ago

The equation shown has an unknown number ⍰÷3/4=4/9

lions [1.4K]

Answer:

Step-by-step explanation:

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3 years ago

Solve each of the quadratic equations.

lozanna [386]

The solution of the quadratic equation is x = 0 or x = 6 ⇒ 4th answer

Step-by-step explanation:

The form of the quadratic equation is ax² + bx + c = 0, where

a is the coefficient of x²
b is the coefficient of x
c is the numerical term

The quadratic equations has two roots, to find them factorize it into two factors and equate each factor by zero

∵ 3x = 0.5 x²

- Subtract 3x from both sides

∴ 0 = 0.5x² - 3x

- Multiply both sides by 2 to make the coefficient of x² integer

∴ 0 = x² - 6x

- Switch the two sides

∴ x² - 6x = 0

- Factorize it by taking x as a common factor

∴ x(x - 6) = 0

- Equate each factor by 0

∴ x = 0 → 1st root

∴ x - 6 = 0

- Add 6 to both sides

∴ x = 6 → 2nd root

∴ The roots of the equation are 0 or 6

The solution of the quadratic equation is x = 0 or x = 6

Learn more:

You can learn more about the quadratic equation in brainly.com/question/1357167

#LearnwithBrainly

8 0

3 years ago

Read 2 more answers

There are 100 calories in 8 fluid Ounces of orange juice and 140 calories in 8 fluid Ounces of pineapple juice. Tia mixed 4 flui

sertanlavr [38]

Answer:

15 calories

Step-by-step explanation:

Number of calories in 8 ounces of orange juice = 100

Number of calories in 1 ounce of juice = 100/8

Number of calories in 4 ounces of juice = 100/8 x 4 = 50 calories

Number of calories in 8 ounces of pineapple juice = 140

Number of calories in 1 ounce of juice = 140/8

Number of calories in 4 ounces of pineapple juice= 140/8 x 4 = 70 calories

Now the mixture has 50 + 70 = 120 calories in 8 ounce.

So, 1 ounce of mixture has 120/8= 15 calories.

3 0

3 years ago