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EastWind [94]
3 years ago
11

Please someone help

Mathematics
1 answer:
marta [7]3 years ago
8 0

Answer:

a. opens: upward

b. a.o.s.: x = 1

c. vertex: (1, -4)

d. x-intercepts: (-1, 0), (3, 0); y-intercept: (0, -3)

Step-by-step explanation:

<h3><u>A:</u></h3>

By looking at the graph, we can see that the parabola opens upward. This means that its a-value is positive.

<h3><u>B:</u></h3>

The axis of symmetry is the line that passes exactly through the center of the parabola. It always starts with x = __, because it is a vertical line.

The center of this parabola is at the x-value of 1, so we can say that the equation of the axis of symmetry is x = 1.

<h3><u>C:</u></h3>

The vertex is at the highest or lowest point of the parabola, also known as the maximum or minimum point. Since this graph opens up, the vertex is at the minimum point.

Look at the graph and find the point where the parabola opens upwards. This point is at the x-value of 1 and the y-value of -4, so the vertex of the parabola is at (1, -4).

<h3><u>D:</u></h3>

Again, look at the graph provided to find the x and y-intercepts. On the x-axis, the parabola crosses through at the x-values of -1 and 3, so the x-intercepts are (-1, 0) and (3, 0).

The parabola crosses the y-axis at the y-value of -3, so the y-intercept of the parabola is (0, -3).

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Answer:

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Step-by-step explanation:

the area (A) of a triangle is calculated as

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height = h then base = 2h + 3 and A = 10 , then

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h(h + 3) = 20 , that is

h² + 3h = 20 ( subtract 20 from both sides )

h² + 3h - 20 = 0 ← in standard form

(h + 4)(2h - 5) = 0 ← in factored form

equate each factor to zero and solve for h

h + 4 = 0 ⇒ h = - 4

2h - 5 = 0 ⇒ 2h = 5 ⇒ h = 2.5

but h > 0 , then h = 2.5

and 2h + 3 = 2(2.5) + 3 = 5 + 3 = 8

that is height = 2.5 ft and base = 8 ft

3 0
1 year ago
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Answer:

Read Below

Step-by-step explanation:

So, 3x^3 - 18x^2 - 9x + 132 = 0

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Hope this Helps :D

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