All categories

3 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]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

You might be interested in

A plane descends to sea level from 36 comma 400 feet after being airborne for 1 and one half hours. The entire flight time is 3

andrew-mc [135]

Answer:

350 feet per minute

Step-by-step explanation:

The amount of time it took the plane to descend is 3 hours 14 minutes minus 1 hour 30 minutes.

This means it took 104 minutes for the plane to descend 36,400 feet.

Dividing 36400 by 104, you get 350 which is the average rate of descent in feet per minute.

6 0

2 years ago

Read 2 more answers

Please help I need to get this done

hichkok12 [17]

Answer:

Step-by-step explanation:

So you take 7x-92+6x+12=180

And then you get x=20

Plug in 20 for x for <LOM

And you get and you get 48

Hope this helped!!

3 0

2 years ago

What value of x satisfies the equation 5(x – 3) – 2(x + 1) = 4?

hjlf

Answer:

x = 7

Step-by-step explanation:

To solve:

Distribute 5 among everything inside the first parentheses. You'll get 5x - 15.

Next distribute -2 among everything in the second parentheses. You'll get

-2x - 2.

All together: 5x - 15 -2x - 2 = 4

Now combine like terms:

5x - 2x = 3x and -15 - 2 = - 17

All together: 3x - 17 = 4

Add 17 on both sides to get 21, and then divide both sides by 3. Answer is x = 7.

________________________________

Last, don't forget to check your work.

You can plug in 7 for x to get:

5(7 - 3) = 20

5 × 7 = 35

5 × -3 = -15

35 - 15 = 20

-2(7 + 1) = -16

-2 × 7 = -14

-2 × 1 = - 2

-14 -2 = -16

20 - 16 = 4

⬆⬆⬆Therefore this is correct.

Sorry this is a bit lengthy, but hope this helps :)

5 0

2 years ago

Write an expression and then show the steps to solve the expression. Round to nearest hundredth. Explain what your solution mean

Semenov [28]

Answer:

see below

Step-by-step explanation:

Write an expression:

x + 1 = 1.011

solve the expression:

subtract 1 on left n right of the = sign

x + 1 - 1 = 1.011 - 1

x = 0.011

Round to nearest hundredth

x = 0.01

The solution is solving an algebra equation with the ans rounded to the hundredth.

4 0

2 years ago

A low-wattage radio station can be heard only within a certain distance from the station. On the graph above, the circular regio

makkiz [27]

I would be happy to help, is there anything else like the options or the graphs you could add?

6 0

3 years ago