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2 years ago

2 1 point

Mathematics

1 answer:

mafiozo [28]2 years ago

5 0

Answer:

The graph has a minimum.
The graph has a y-intercept at (0, -3).
The solutions ... are -1 and 3.
The vertex is located at (1, -4).
In the equation, 'a' would be positive.

Step-by-step explanation:

When the graph has a low point, it has a minimum. 'a' is positive in that case. The coordinates of that low point are (1, -4). That point is the vertex.

The graph crosses the y-axis at y = -3, so the y-intercept is (0, -3).

The graph crosses the x-axis at (-1, 0) and (3, 0). These points represent the solution to the equation y = 0.

The graph has a minimum.
The graph has a y-intercept at (0, -3).
The solutions ... are -1 and 3.
The vertex is located at (1, -4).
In the equation, 'a' would be positive.

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we have that

$300 + 150 + 75 +...$

Let

$a1=300\\ a2=150\\ a3=75$

we know that

$\frac{a2}{a1} =\frac{150}{300} \\\\ \frac{a2}{a1}=0.5 \\ \\ a2=a1*0.50$

$\frac{a3}{a2} =\frac{75}{150} \\\\ \frac{a3}{a2}=0.5 \\ \\ a3=a2*0.50$

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Is a geometric sequence

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$a(4)=a3*0.50$

$a(4)=75*0.50$

$a(4)=37.5$

Find the value of $a5$

$a(5)=a4*0.50$

$a(5)=37.5*0.50$

$a(5)=18.75$

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$S5=a1+a2+a3+a4+a5\\ S5=300+150+75+37.5+18.75\\ S5=581.25$

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Alternative Method

Applying the formula

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therefore

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$581.25$

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