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4 years ago

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

Mathematics

1 answer:

otez555 [7]4 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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What is the solution set -4.9x +1.3 > 11.1

Irina18 [472]

Answer:

x < - 2

Step-by-step explanation:

given - 4.9x + 1.3 > 11.1 ( subtract 1.3 from both sides )

- 4.9x > 9.8 ( divide both sides by - 4.9 )

Remembering to reverse the direction of the inequality symbol as a result of dividing by a negative quantity.

x < - 2 ← inequality reversed

solution set : x ∈ ( - ∞, - 2 )

8 0

3 years ago

What is the common denominator of (5/x^2-4) - (2/x+2) in the complex fraction (2/x-2) - (3/x^2-4)/(5/x^2-4) - (2/x+2)

PIT_PIT [208]

9514 1404 393

Answer:

common denominator: (x² -4)
simplified complex fraction: (2x +1)/(9 -2x)

Step-by-step explanation:

It is helpful to remember the factoring of the difference of squares:

a² -b² = (a -b)(a +b)

Your denominator of (x² -4) factors as (x -2)(x +2). You will note that one of these factors is the same as the denominator in the other fraction.

It looks like you want to simplify ...

$\dfrac{\left(\dfrac{2}{x-2}-\dfrac{3}{x^2-4}\right)}{\left(\dfrac{5}{x^2-4}-\dfrac{2}{x+2}\right)}=\dfrac{\left(\dfrac{2(x+2)}{(x-2)(x+2)}-\dfrac{3}{(x-2)(x+2)}\right)}{\left(\dfrac{5}{(x-2)(x+2)}-\dfrac{2(x-2)}{(x-2)(x+2)}\right)}\\\\=\dfrac{2(x+2)-3}{5-2(x-2)}=\boxed{\dfrac{2x+1}{9-2x}}$

3 0

3 years ago

A rational function g is given below. Find all values of a for which g(a)=16. g(x)=(4)/(x+1)+(20)/(x^(2)+2x+1)

aliina [53]

Answer:

a = 2/3

Step-by-step explanation:

(4(x+1) + 20 )/(x+1) = 16

4x + 4 + 20 = 16x + 16

12x = 8

x = 2/3

3 0

3 years ago

Please answer this question.

Nastasia [14]

Answer:

2x - 5

Step-by-step explanation:

1/5(10x - 25)

Use the Distrubitve Property

1/5 * 10x = 2x

1/5 * 25 = 5

New equation is 2x - 5

4 0

3 years ago

I NEED HELP ASAP

DiKsa [7]

Length = 4w + 2

A = length x width
= (4w + 2) . w
= 4w^2 + 2w ft square

5 0

3 years ago