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Alex_Xolod [135]
3 years ago
12

Solve the inequality. -3 ≤ 2t ≤ 6​

Mathematics
2 answers:
hram777 [196]3 years ago
8 0
This is your correct answer

Reptile [31]3 years ago
5 0

Answer:

-3/2 ≤ t ≤ 3

Step-by-step explanation:

-3≤ 2t and 2t≤ 6

-3≤ 2t: t _>-3/2

2t≤ 6 t≤ 3

t_>-3/2 and t≤ 3

which gets us -3/2 ≤ t ≤ 3

Hope I have helped.

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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>
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}

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

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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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Answer:

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Step-by-step explanation:

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2 years ago
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Answer:

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Read more on Brainly.com - brainly.com/question/10838483#readmore

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