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2 years ago

A polynomial is to be constructed that will touch the x axis at most 5 times. What is the minimum degree of the polynomial?

1 answer:

8 0

Touch the x axis means the zeroes (y=0) of theh equation aka the roots aka the solutions
ok, so remember that the degree of the polynomial will be the maximum number of roots so therefor
minimum degreee is 5th degree

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Which ordered pair is the solution to the system of linear equations y=5x+8 and -4x-1 ?

Margarita [4]

Hello :
<span>
y=5x+8
y= -4x-1
5x+8 = -4x-1
9x =-9
x = -1
y = 5(-1)+8 = 3
</span><span>ordered pair is the solution to the system : ( -1 , 3)</span>

8 0

3 years ago

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What is the measure of the missing angle?

Luda [366]

Answer:

B=23.19

Step-by-step explanation:

First, find the last side of the triangle using the Pythagorean theorem.

$a^{2} +b^{2} =c^{2} \\21^{2} +9^{2} =c^{2} \\441+81=c^{2} \\\sqrt[3]{58}=c$

Then, find the missing angle, lets name it B.

The angle B can be found using the inverse sine function.

B=arcsin(opp/hyp)

$B=arcsin(\frac{9}{\sqrt[3]{58} } )\\B=23.19$

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2 years ago

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The value of the definite integral / 212x – sin(x) dx / 122x-sin(x) is

blondinia [14]

Hi there!

$\boxed{= 70 + cos(12) - cos(2) \approx 71.26}$

$\int\limits^{12}_{2} {x-sin(x)} \, dx$

We can evaluate using the power rule and trig rules:

$\int x^n = \frac{x^{n+1}}{n+1}$

$\int x = \frac{1}{2}x^{2}$

$\int -sin(x) = cos(x)$

Therefore:

$\int\limits^{12}_{2} {x-sin(x)} \, dx = [\frac{1}{2}x^{2}+cos(x)]_{2}^{12}$

Evaluate:

$(\frac{1}{2}(12^{2})+cos(12)) - (\frac{1}{2}(2^2)+cos(2))\\= (72 + cos(12)) - (2 + cos(2))\\\\= 70 + cos(12) - cos(2) \approx 71.26$

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2 years ago

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irakobra [83]

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2 years ago

What does 3 (2x - 4) = 8x 14 equal?

jeka57 [31]

6x - 12 = 8x + 14
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3 years ago