All categories

3 years ago

F(x) = |3x-4| give the domain and range

Mathematics

1 answer:

gulaghasi [49]3 years ago

3 0

Answer:

Domain: -∞≤x≤∞

Range: 0≤F(x)≤∞

Step-by-step explanation:

The x variable can take any value.

In the case of F(x), the function only can take positive values, due to the absolute value function, and the function does not have any other restriction.

You might be interested in

What is the best estimate for the quotient 5,397 divided by 62

marysya [2.9K]

Answer:

The best estimate is 90.

Step-by-step explanation:

Given : Quotient 5,397 divided by 62 .

To find : The best estimate of the given situation.

Solution : We solve this by approximating the term and then divide to get solution.

Approximation is rounding off the number

→ When the ones digit is greater than 5 (5, 6, 7, 8, or 9) then it round the number up.

→ When the ones digit is less than 5 ( 0, 1, 2, 3, or 4) then it round the number down.

Approximation of 5397 to hundredth is 5400

Approximation of 62 to tenth is 60

Now, divide 5400 by 60

$\frac{5400}{60}= 90$

Therefore, The best estimate is 90.

We can also cross check by actual division of 5397 by 62.

$\frac{5397}{62}= 87.04$

When we approximate 87.04 it round off to 90.

4 0

3 years ago

Read 2 more answers

I need help with 1-3 i don’t understand that problems and its already over due

Nina [5.8K]

Step-by-step explanation:

For a quadratic equation y = ax² + bx + c, the vertex (the maximum or minimum point) is at x = -b/(2a).

1) y = -0.5t² + 2t + 38

The maximum is at:

t = -2 / (2 × -0.5)

t = 2

The maximum height is:

y = -0.5(2)² + 2(2) + 38

y = 40

The coordinates of the vertex are (2, 40). That means the missile reaches a maximum height of 40 km after 2 minutes.

2) y = -4.9t² + 12t + 1.6

The maximum is at:

t = -12 / (2 × -4.9)

t = 1.22

The maximum height is:

y = -4.9(1.22)² + 12(1.22) + 1.6

y = 8.95

The coordinates of the vertex are (1.22, 8.95). That means the missile reaches a maximum height of 8.95 m after 1.22 seconds.

3) y = -0.04x² + 0.88x

The maximum is at:

x = -0.88 / (2 × -0.04)

x = 11

The maximum height is:

y = -0.04(11)² + 0.88(11)

y = 4.84

The maximum height of the tunnel is 4.84 meters.

The maximum width is when y = 0.

0 = -0.04x² + 0.88x

0 = -0.04x (x − 22)

x = 22

The maximum width is 22 feet.

7 0

3 years ago

Is y= 2x cubed +6 linear or non-linear

zhuklara [117]

Non linear because nothing cubed or squared can be linear.
Hope this helps

6 0

3 years ago

Write two equivalent fractions for 5/10

shtirl [24]

1/2 and 10/20

to get 1/2 you have to divide 5/10 by 5:

5 / 5 1
----- = -----
10 / 5 2

to get 10/20 you have to multiply 5/10 by 2:

5 * 2 10
----- = ----
10 * 2 20

Hope it helps! =)

7 0

3 years ago

Read 2 more answers

George believes the Art Club students at his school have an unfair advantage in being assigned to the art class they request. He

krek1111 [17]

Answer:

I think that they all have fairness in the class assignment process.

I think this because of the way that more people take art club than art class,

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers