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3 years ago

which of the following correctly describes the end behavior of the polynomial function, f(x)=2x^4-3x^2+2x

Mathematics

2 answers:

Gnom [1K]3 years ago

8 0

Answer:

The end-behavior of the given function is: "Both ends upward".

Step-by-step explanation:

Given polynomial function is: $f(x)=2x^4-3x^2+2x$

For determining the end-behavior of a polynomial function, first we need to identify the degree and leading coefficient.

Degree means the highest exponent to the variable in the function. So, here degree is 4.

Leading coefficient is the coefficient of the first term in the function. So, here the leading coefficient is 2.

Now the rule is: If the degree of the polynomial function is even and the leading coefficient is positive, then both ends of the graph of function will be in upward direction.

So, the end-behavior of the given function is: "Both ends upward".

inna [77]3 years ago

4 0

Answer:

Both ends go up.

Step-by-step explanation:

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Find the area of the regular figure below:

Mice21 [21]

Answer:

1,496.49 cm squared

Step-by-step explanation:

The regular figure below is a hexagon.

The formula for the area of a regular hexagon is $A = \frac{3\sqrt{3} }{2} a^2$ . Here a = 24. Substitute and simplify for the area.

$A = \frac{3\sqrt{3} }{2} a^2\\A = \frac{3\sqrt{3} }{2} 24^2\\A = \frac{3\sqrt{3} }{2} * 576\\A = 1496.49$

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3 years ago

Yul has lunch at a resterant if his bill was $14.50 and yul wants to leave a 20% tip what is the amount he should leave for the

Triss [41]

14.50 times 0.20 = 2.9

He would give a $2.90 as a tip of 20% from a bill of $14.50

4 0

3 years ago

(09.02)

Ivenika [448]

Answer:

4th option

Step-by-step explanation:

x² - 2x - 3 = 0 ( add 3 to both sides )

x² - 2x = 3

using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 1)x + 1 = 3 + 1

(x - 1)² = 4

4 0

2 years ago

The scatter plot shows how the cooking time for a beef roast is related to its weight. Which statement is NOT supported by the t

bija089 [108]

Answer:

the statement that is not supported by the trend in this scatter plot is that each additional pound adds about 1 hour of cooking time. (last option)

3 0

3 years ago

Read 2 more answers

Expand using the properties and rules for logarithms

malfutka [58]

Consider expression $\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right).$

1. Use property

$\log_a\dfrac{b}{c}=\log_ab-\log_ac.$

Then

$\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right)=\log_{\frac{1}{2}}3x^2-\log_{\frac{1}{2}}2.$

2. Use property

$\log_abc=\log_ab+\log_ac.$

Then

$\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right)=\log_{\frac{1}{2}}3x^2-\log_{\frac{1}{2}}2=\log_{\frac{1}{2}}3+\log_{\frac{1}{2}}x^2-\log_{\frac{1}{2}}2.$

3. Use property

$\log_ab^k=k\log_ab.$

Then

$\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right)=\log_{\frac{1}{2}}3+\log_{\frac{1}{2}}x^2-\log_{\frac{1}{2}}2=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x-\log_{\frac{1}{2}}2.$

4. Use property

$\log_{a^k}b=\dfrac{1}{k}\log_ab.$

Then

$\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right)=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x-\log_{\frac{1}{2}}2=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x-\log_{2^{-1}}2=\\ \\=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x+\log_22=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x+1.$

Answer: correct option is B.

7 0

4 years ago