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Colt1911 [192]
3 years ago
9

The next number in the series of intervals of 38, 36,30,28,22,is=

Mathematics
1 answer:
Ivenika [448]3 years ago
7 0
There is a pattern of -2, -6, so the next number is 20.
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I need advice!
g100num [7]
Alright, so you can try to study hard and gain a passing grade (A+) for the other two quarters. 
4 0
3 years ago
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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
Solve the equation 3sin2 theta = sin e, for values of e between Oº and 360°
Reil [10]

Answer:

[B] 0, 19.5, 160.5, 180, 360

Step-by-step explanation:

3 sin²θ = sin θ

3 sin²θ − sin θ = 0

sin θ (3 sin θ − 1) = 0

sin θ = 0 or sin θ = ⅓

If sin θ = 0, θ = 0°, 180°, 360°.

If sin θ = ⅓, θ = 19.5°, 160.5°.

5 0
3 years ago
A book is 6 inches wide and 9 inches tall.
Makovka662 [10]

Answer:

54

Step-by-step explanation:

Leave the 2.5 out

Multiply 9 × 6

So.....9 × 6 = 54

So the area will be 54 of the front of the book after the book is enlarged.

Hope this helps!

4 0
3 years ago
How much pure acid is in 780 milliliters of a 12​% ​solution?
GarryVolchara [31]

Answer:

93.6 ml

Step-by-step explanation:

12% of that 780 ml is pure acid:  0.12(780 ml) = 93.6 ml

7 0
3 years ago
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