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

The product of 5 and a number is at least 20.

svp [43]

Answer:

Step-by-step explanation:

the answer is 5x $\geq$ 20

8 0

3 years ago

HELP ASAP

gavmur [86]

Answer:

cookie dough fundraiser is a great way to raise money for your school, team, ... selling large or small cookie dough tubs, or pre-portioned cookie dough trays.

4 0

2 years ago

Read 2 more answers

PLEASE HELP. FUNCTIONS AND RELATIONS. PROVIDE ANSWER OPTION A,B,C OR D? THANKS!!

baherus [9]

Step-by-step explanation:

please mark me as brainlest

6 0

1 year ago

To buy a car, you borrow $25,000 with a term of three years at an APR of 6.5%. What is your monthly

Finger [1]

Answer:

$766.23

Step-by-step explanation:

The amortization formula is appropriate for this. (Better, use a financial calculator or spreadsheet.)

A = P(r/12)/(1 -(1 +r/12)^-(12t))

where P is the amount borrowed (25,000), r is the annual rate (0.065), and t is the number of years (3).

Putting the given numbers into the formula, we have ...

A = $25,000(0.065/12)/(1 -(1 +0.065/12)^(-36))

A = $25,000(.00541667)/(1 -1.00541667^-36)

A = $25,000(0.00541667)/(0.1767322)

A = $766.23

The monthly payment is $766.23.

_____

<em>Comment on tools</em>

A graphing or scientific calculator is useful for these. Something like a TI-84, or any of the equivalents, will have financial calculations like this built in. There are also numerous apps available for phone or tablet that will do financial calculations.

4 0

3 years ago

A bicyclist travels at a constant speed of 12 miles per hour for a total of 45 minutes. (Use set notation for the domain and ran

Mamont248 [21]

A bicyclist travels at a constant speed of 12 miles per hour for a total of 45 minutes.

We know the formula , Distance = speed * time

Speed is constant and it is 12. So it is linear

The function becomes d = 12t, x is the t is the time and d is the distance

At the starting point, t=0 and distance d=0

End point , t=45 min = 0.75 hours and distance = 12 * 0.75 = 9

So domain (t) is { $x|0$ }