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postnew [5]
3 years ago
6

Describe the end behavior of the following function: F(x)=2x^4+x^3

Mathematics
1 answer:
Anika [276]3 years ago
3 0

Answer:

Rises to the left and rises to the right.

Step-by-step explanation:

Since, the given function is f(x)=2x^{4}+x^{3}, and the end behavior of the given function is determined as:

Consider the given function f(x)=2x^{4}+x^{3}, identify the degree of the function:

The degree of the function is : 4 which is even

And then identify the leading coefficient of the given function that is +2 which is positive in nature.

Hence, the function is positive and even in nature, therefore, the end behavior of the function will be rising to the left and rising to the right.

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The equation (x-6)^2/16 + (y+7)^2/4 = 1 represents an ellipse. What are the vertices of the ellipse?
topjm [15]

Answer:

The correct option is C.

Step-by-step explanation:

The given equation is

\frac{(x-6)^2}{16}+\frac{(y+7)^2}{4}= 1

It can be rewritten as

\frac{(x-6)^2}{4^2}+\frac{(y+7)^2}{2^2}= 1         .....(1)

The standard form of an ellipse is

\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}= 1           ....(2)

Where (h,k) is center of the ellipse.

If a>b, then the vertices of the ellipse are (h\pm a, k).

From (1) and (2) we get

h=6,k=-7,a=4,b=2

Since a>b, therefore the vertices of the ellipse are

(h+a, k)=(6+4,-7)\Rightarrow (10,-7)

(h-a, k)=(6-4,-7)\Rightarrow (2,-7)

The vertices of the given ellipse are (10, –7) and (2, –7). Therefore the correct option is C.

5 0
3 years ago
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Solve 32>2h+6h. Graph the solution.
aniked [119]
God loves all of you, remember that oK <3 32>2h+6h is
5 0
3 years ago
The sum of two numbers is 66. two times the smaller number is 15 more then th larger number what are the numbers
Delicious77 [7]

Let x = big number

Let y = small number

x + y = 66...Equation A

2y = x + 15...Equation B

We have two equations in two unknowns.

x + x + 15 = 66

2x = 66 - 15

2x = 54

x = 54/2

x = 27

Plug x = 27 into EITHER equation above to find y.

I will use Equation A.

x + y = 66

27 + y = 66

y = 66 - 27

y = 39

The two numbers are 27 and 39.

6 0
3 years ago
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25 points help me pls
antoniya [11.8K]

Answer:

The first one is x=-y-2z-7

The second one is x=-1/3y + 1/3z + -4/3

The third one is x= 3y + 2z + 17

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3 years ago
DO NOT OVERLOOK THIS!!!!!!!!
zmey [24]
<h2>Answer:</h2>

<u>Area</u> = 2(1/2 × 5 × 5) + 20 × 10

= 2 × 12.5 + 200

= 25 + 200

= 225ft².

3 0
3 years ago
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