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enyata [817]
3 years ago
8

If figure 1 needs 3 toothpicks, figure 2 needs 6 toothpicks and figure 3 needs 9 toothpicks then how many toothpicks will be nee

ded in figure 4?
Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
6 0

Answer:

Figure 4 will need 12 toothpicks.

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You were given the polynomial f(x)=3x^3+13x^2+19x+k and you know that f(-2)=0find k
eduard

Answer:

k = 10

Explanation:

The initial polynomial is:

f(x)=3x^3+13x^2+19x+k

If f(-2) = 0, then when we replace x by -2, the result will be 0. It means that we can write the following equation:

\begin{gathered} f(-2)=3(-2)^3+13(-2)^2+19(-2)+k=0 \\ 3(-2)^3+13(-2)^2+19(-2)+k=0 \end{gathered}

Therefore, we can solve for k as follows:

\begin{gathered} 3(-8)+13(4)+19(-2)+k=0 \\ -24+52-38+k=0 \\ -10+k=0 \\ -10+k+10=0+10 \\ k=10 \end{gathered}

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Ilia_Sergeevich [38]

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Step-by-step explanation:

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Step-by-step explanation:

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