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bezimeni [28]
3 years ago
10

Which is the graph of the function f(x)=x^3+x^2+x+1

Mathematics
1 answer:
34kurt3 years ago
3 0

Answer:

Step-by-step explanation:

Next time, please share the possible answers (which here are graphs).

f(x)=x^3+x^2+x+1 builds upon the cubing function x^3, which starts in Quadrant III and continues into Quadrant I.  f(x)=x^3+x^2+x+1  displays the same behavior.  Note that if x = 0, f(0) = 1, so the y-intercept is (0, 1).

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Garrett and Carter went to the movies last weekend. Together they bought 2 drinks and 2 popcorns. They spent a total of $12.50.
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The cost of one drink is $2.50 and cost of one popcorn is $3.75

<u><em>Explanation</em></u>

Suppose, the cost of one drink is x dollar and cost of one popcorn is y dollar.

Given that, total cost for 2 drinks and 2 popcorns is $12.50  and  total cost for 6 drinks and 5 popcorns is $33.75

So, the system of equations will be......

2x+2y=12.50 ..................................... (1)\\ \\ 6x+5y= 33.75 ..................................... (2)

Multiplying equation (1) by -3 , we will get.....

-3(2x+2y)=-3(12.50)\\ \\ -6x-6y=-37.50 ..................................... (3)

Now, adding equation (2) and equation (3) , we will get ............

5y-6y=33.75-37.50\\ \\ -y=-3.75\\ \\ y=3.75

Plugging this y=3.75 into equation (1) ......

2x+2(3.75)=12.50\\ \\ 2x+7.50=12.50\\ \\ 2x=12.50-7.50=5\\ \\ x=\frac{5}{2}=2.50

So, the cost of one drink is $2.50 and cost of one popcorn is $3.75


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