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2 years ago

Please help, thank you:)

Mathematics

1 answer:

lesya [120]2 years ago

8 0

Answer:

63.8

Step-by-step explanation:

a1 = -6.4 and d = 2.6

a(n) = a1 + d(n - 1)

a(28) = -6.4 + 2.6(27)

a(28) = 63.8

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Read 2 more answers

Y = x² + 6x + 3

olganol [36]

Vertex is at $\left(-3,-6\right)$

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Step-by-step explanation:

The graph of the equation is hereby attached in the answer area.

Vertex is the point on the parabola where the graph crosses its axis of symmetry. The axis of symmetry here( $x =-3$ ), is shown with the dotted line in the graph attached.

y-intercept is defined as the value of y where the graph crosses the y-axis. In other words, when $x=0$ . Putting

And, the graph opens up as shown the graph figure as well. It is also evident from the co-efficient of $x$ in the given equation $y =x^{2} + 6x + 3$ . Here, co-efficient of

So, vertex is at $\left(-3,-6\right)$

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2 years ago

The owner of a cattle ranch would like to fence in a rectangular area of 3000000 m^2 and then divide it in half with a fence dow

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If you notice the picture below, the amount of fencing, or perimeter, that will be used will be 3w + 2l

now $\bf \begin{cases}
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----------\\
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\frac{3000000}{w}=l
\end{cases}\qquad thus
\\\\\\
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\\\\\\
P=3w+6000000w^{-1}\\\\
-----------------------------\\\\
now\qquad \cfrac{dP}{dw}=3-\cfrac{6000000}{w^2}\implies \cfrac{dP}{dw}=\cfrac{3w^2-6000000}{w^2}
\\\\\\
\textit{so the critical points are at }
\begin{cases}
0=w^2\\\\
0=\frac{3w^2-6000000}{w^2}
\end{cases}$

solve for "w", to see what critical points you get, and then run a first-derivative test on them, for the minimum

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so.. check the critical points on the other

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2 years ago