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weqwewe [10]
3 years ago
15

Explain why the graph of the equation g(x)=-(x+1)^2-3 would be a parabola opening downward.

Mathematics
1 answer:
otez555 [7]3 years ago
6 0

g(x) = -(x + 1)^2 - 3

Let's simplify this equation

g(x) = -(x^2 + 2x + 1) - 3

Distribute the negative sign

g(x) = -x^2 - 2x + 1 - 3

Combine like terms

g(x) = -x^2 - 2x - 2

The value of a = -2 and this value is LESS THAN 0

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Anna has a 25-meter-long fence that she plans to use to enclose a rectangular garden of width w. The fencing will be placed arou
Leviafan [203]
<h3>Answer:   -2w^2 + 25w = 25    or    -2w^2 + 25w - 25 = 0</h3>

================================================================

Explanation:

Refer to the diagram below. The width is w. We have two opposite and parallel sides equal to this. The other two parallel congruent sides are L = 25-2w meters long. We start with the total amount of fencing, and then subtract off the two width values, so 25-w-w = 25-2w.

The area of the rectangle is

Area = length*width

Area = L*W

Area = (25-2w)*w

Area = 25w - 2w^2

Area = -2w^2 + 25w

Set this equal to the desired area (25 square meters) to get

-2w^2 + 25w = 25

and we can subtract 25 from both sides to get everything on one side

-2w^2 + 25w - 25 = 0

side note: The two approximate solutions of this equation are w = 1.0961 and w = 11.4039 (use the quadratic formula or a graphing calculator to find this)

4 0
3 years ago
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lyudmila [28]

Answer:

Slope: 3/5

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Step-by-step explanation:

5 0
3 years ago
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Step-by-step explanation:

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Suppose triangle ABC will be dilated using the rule . What will be the distance from the center of dilation, Q, to the image of
Blababa [14]

Answer:

4

Step-by-step explanation:

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madam [21]

Answer:

w = 0 , -3 , 3

Step-by-step explanation:

w³ - 9w = 0

w(w² - 9) = 0

w(w² - 3²) = 0

w(w+3)(w-3) = 0            {a² - b² = (a + b)(a - b) }

w = 0   ;  w + 3 = 0                ; w - 3 = 0

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w = 0 , -3 , 3

5 0
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