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kap26 [50]
2 years ago
7

3(2x+6) Distributive Property

Mathematics
2 answers:
Ksivusya [100]2 years ago
7 0

Answer:

6x+18

Step-by-step explanation:

Multiply 3 to all the numbers on the parenthesis

Hope this helps!

Butoxors [25]2 years ago
5 0
It would be 6x+18
basically what you do is 3•2x+6•3. The dot means to multiply if you didn’t know.
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Tom, Larry, Roberta, and John enjoy roller Coasters. Whenever a new roller Coaster opens near their town,
vazorg [7]

Answer:

  • <u>a) degree 3</u>
  • <u>b) 3 times</u>
  • <u>c) cubic</u>

<u></u>

Explanation:

The function that represents the first drop of the roller coaster is:

       h(t)=t^3-12t^2+35t,

where t is the  time in seconds and h is the height in feet.

<u></u>

<u>a) What is the degree of the function?</u>

The degree of a polynomial is the highest power of the variable, t. Thus, the degree of the function is 3.

<u>b) According to the degree of the function, how many times should the roller coaster hit the ground?</u>

The number of complex roots of a polynomial is equal to the degree of the polynomial. Thus, in this case this polynomial has 3 roots. Each root represents the value of the polynomial that makes it equal to zero, this is:

     t^3-12t^2+35t=0

Thus, since the polynomial function represents the height of the, the value zero represents when the roller coaster hits the ground.

To learn if the three roots are real numbers you can solve the equation, which may be done by factoring the polynomial.

Take t out as common factor:

  • t(t² - 12t + 35)

Find two numbers that add up -12 and its product is 35. Those are -7 and -5. Hence, use the factors t - 12 and t - 5:

  • t ( t - 12) (t - 5) = 0  This is the factored form of the polynomial

Whose solutions are t =0, t = 12, and t = 5. Three real numbers.

Hence, the roller coaster hits the ground three times: first at start, then  at 5 seconds, and finally at 12 seconds.

<u>c) Will the roller coaster be in the form of a linear, quadratic, cubic or quartic graph?</u>

It will be in the form of a cubic graph, becasue a linear graph corresponds to a polynomial of degree 1, a quadratic graph corresponds to a polynomial of degree 2, a cubic graph corresponds to a polynomial of degree 3, and a quartic graph corresponds to a polynomial of degree 4.

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Answer:

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Step-by-step explanation:

since the solution area is the shaded and dotted area, just plot the coordinates listed and see if they land in that space. by doing that, your answer should be the only one in  that area: (2,-2)

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Given the function g(x) = 6(4)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.
Natasha2012 [34]
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ΔA'B'C' is the image of a reflection of ΔABC across the line x=1. The y-coordinates of the vertices of ΔABC and its image ΔA'B'C
seropon [69]

Answer:

A(y=3) B(y = -2) C(y= 4)

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Step-by-step explanation:

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Segment addition with variables
oksian1 [2.3K]

<em>x equals 22</em>

<h2>Explanation:</h2>

____________________________________________

The Segment Postulate states the following:

<em>Given two end points A and B, a third point C lines on the segment AB if and only if the distances between the points satisfy the equation:</em>

\overline{AB}=\overline{AC}+\overline{CB}

____________________________________________

From the figure:

\overline{AC}=8+x \\ \\ \overline{CB}=10 \\ \\ \overline{AB}=40

Our goal is to find x:

\overline{AB}=\overline{AC}+\overline{CB} \\ \\ Substituting \ values: \\ \\ 40=(8+x)+10 \\ \\ 18+x=40 \\ \\ Subtracting \ 18 \ from \ both \ sides: \\ \\ 18-18+x=40-18 \\ \\ \boxed{x=22}

<h2>Learn more:</h2>

Dilation: brainly.com/question/2501119

#LearnWithBrainly

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