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9966 [12]
3 years ago
14

The coordinate plane below represents a city. Points A through F are schools in the city.

Mathematics
1 answer:
hodyreva [135]3 years ago
6 0
PART A

Refer to the diagram below for the region that only has point C and F inside the shaded region

The three inequalities can be:
y ≥ 1
x ≥ 1
y ≤ -x + 8
---------------------------------------------------------------------------------------------------------

PART B

Coordinate of C is (2, 2)
Coordinate of F is (3, 4)

For the inequality y ≥ 1, the y-coordinate of both point C and F are more than 1

For the inequality x ≥ 1, the x-coordinate of both point C and F are more than 1

For the inequality y ≤ -x + 8
Start with point C, we substitute the x-coordinate = 2 and check whether -x + 8 is indeed more than y
-x + 8 = -(2) + 8 = 6 and 6 ≥ 2

Point D (3, 4), substituting x = 3
-x + 8 = -(3) + 8 = 5 and 5 ≥ 4

So point C and F are solutions to the inequalities
--------------------------------------------------------------------------------------------------------------

PART C

Refer to the second diagram below, the points below the line -2x + 2 are A., B, and D. We choose the point below the line because the inequality want 'y' to be less than -2x + 2


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Answer:

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3x=9

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scZoUnD [109]

Answer: She's wrong.

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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
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<span>First. <u>Finding the x-intercepts of </u>W(x)
</span><span>
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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

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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


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3 years ago
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What is the approximate surface area of the sphere 15yd?
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Do 2.63 x 3 to check ur answer
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