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3 years ago

What are the domain and range of the function x^2-2x^2-4?

Mathematics

1 answer:

jonny [76]3 years ago

7 0

${x}^{2} - 2 {x}^{2} - 4 \\ - {x}^{2} - 4$

The Quadratic Function has the domain as the set of all real numbers.

For the range, start from minimum value to maximum value.

But because the parabola is downward as a < 0. Thus, there are no minimum value but the maximum value instead.

Therefore the range is y <= -4

You might be interested in

Alejandro loves to go to the movies. He goes both at night and during the day. The cost of a matinee is 7 dollars. The cost of a

saw5 [17]

Answer:

Alejandro went to 8 matinee shows and 4 evening shows.

Our system of equations:

x + y = 12

7x + 12y = 104

Correct statement and question:

Alejandro loves to go to the movies. He goes both at night and during the day. The cost of a matinee is 7 dollars. The cost of an evening show is 12 dollars.

Alejandro went to see a total of 12 movies and spent $ 104. How many of each type of movie did he attend? Write a system of equations.

Source:

Previous question that can be found at brainly

Step-by-step explanation:

Step 1:

Let x to represent the number of matinee shows Alejandro went to.

Let y to represent the number of evening shows Alejandro went to.

Now, let's write our system of equations:

x + y = 12

7x + 12y = 104

*********************

x = 12 - y

*********************

7 (12 - y) + 12y = 104

84 - 7y + 12y = 104

5y = 104 - 84

5y = 20

y = 20/5

y = 4 ⇒ x = 12 - 4 = 8

Alejandro went to 8 matinee shows and 4 evening shows.

4 0

3 years ago

PLEASE HELP ASAP!!!

Sonbull [250]

2x^2 - 7x - 6 = 0

$x1 = \frac{- b + \sqrt{ {b}^{2} - 4ac }}{2a}$
$x2 = \frac{- b - \sqrt{ {b}^{2} - 4ac }}{2a}$
where a=2
where b=-7
where c=-6

solve for x1 and x2

x1=4.21
x2=-0.71

6 0

3 years ago

while observing the fare meter in a taxi, a student records the following data: reading on taxi fare meter time (minutes) meter

mario62 [17]

(0,5.25)(10,13.75)
slope(m) = (y2 - y1) / (x2 - x1)
slope(m) = (13.75 - 5.25) / (10 - 0) = 8.5/10 = 0.85

y = mx + b
(0,5.25)...x = 0 and y = 5.25
slope(m) = 0.85
now we sub, we r looking for b, the y int
5.25 = 0.85(0) + b
5.25 = b

so ur equation is : y = 0.85x + 5.25 or C(t) = 0.85t + 5.25 <==

cost of a 12 min taxi ride.....sub in 12 for t
C(t) = 0.85t + 5.25
C(12) = 0.85(12) +5.25
C(12) = 10.20 + 5.25 = 15.45
so a 12 min ride would cost u : $ 15.45 <==

5 0

3 years ago

During the mayoral election,two debates were held between the candidates. The first debate lasted 1 2/3 hours.The second one was

butalik [34]

Answer:

2nd debate was 3 hours long.

Step-by-step explanation:

We have been given that during the mayoral election,two debates were held between the candidates. The first debate lasted 1 2/3 hours. The second one was 1 4/5 times as long as the first one.

Let us find the estimate of time spent on 2nd debate.

1 2/3 hours would be approximately 2 hours. 1 4/5 times would be equal to 2 times.

$2*2=4$