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vredina [299]
3 years ago
9

John is travelling to another country.

Mathematics
1 answer:
Svetllana [295]3 years ago
7 0
Answer: The total distance is 8370 km

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The change in water level of a lake is modeled by a polynomial function, W(x). Describe how to find the x-intercepts of W(x) and
Agata [3.3K]
<span>First. <u>Finding the x-intercepts of </u>W(x)
</span><span>
Let W(x) be the change in water level. So to find the x-intercepts of this function we can use The Rational Zero Test that states:

To find the zeros of the polynomial:

f(x)=a_{n}x^{n}+a_{n-1}x^{n-1}+...+a_{2}x^{2}+a_{1}x+a_{0}

We use the Trial-and-Error Method which states that a factor of the constant term:

a_{0}

can be a zero of a polynomial (the x-intercepts).

So let's use an example: Suppose you have the following polynomial:

W(x)=x^{4}-x^{3}-7x^{2}+x+6

where the constant term is a_{0}=6. The possible zeros are the factors of this term, that is:

1, -1, 2, -2, 3, -3, 6 \ and \ -6.

Thus:

</span>W(1)=0 \\ W(-1)=0 \\ W(2)=-12 \\ W(-2)=0 \\ W(3)=0 \\ W(-3)=48 \\ W(6)=840 \\ W(-6)=1260<span>

From the foregoing, we can affirm that 1, -1, -2 \ and \ 3 are zeros of the polynomial.

</span>Second. <u>Construction a rough graph of</u> W(x)

Given that this is a polynomial, then the function is continuous. To graph it we set the roots on the coordinate system. We take the interval:

[-2,-1]

and compute W(c) where c is a real number between -2 and -1. If W(c)>0, the curve start rising, if not, the curve start falling. For instance:

If \ c=-\frac{3}{2} \\ \\ then \ w(-\frac{3}{2})=-2.81

Therefore the curve start falling and it goes up and down until x=3 and from this point it rises without a bound as shown in the figure below


7 0
3 years ago
Read 2 more answers
edgar purchased three cheeseburgers for 5.75 fiona purchased five cheeseburgers for 7.50 who paid less
d1i1m1o1n [39]

Answer:

edgar

Step-by-step explanation:

edgar - 5.75 times 3 = 17.25

fiona - 7.50 times 5 = 37.50

edgar payed least since he has the smallest value

7 0
2 years ago
I don't know the answer to this and I've been stuck on it for a while now. Please can someone answer this
Natasha_Volkova [10]
Multiply each term by 8 ( to get rid of the fractions) 
we get:-
-72 = -16 - k

k = -16 + 72 = 56 answer
8 0
3 years ago
The variable u had a proportional relationship with x as suggested by the graph. use the graph to write an equation that models
Papessa [141]

Answer:

y = 14

Step-by-step explanation:

5 0
3 years ago
The perimeter of a square is 36 inches. Find the length to f one side.
VMariaS [17]

Answer:

9  because 36 divided by 4 is 9

Step-by-step explanation:

3 0
3 years ago
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