All categories

3 years ago

Pls help me on this.

Mathematics

1 answer:

bogdanovich [222]3 years ago

8 0

9514 1404 393

Answer:

domain: (-4, -2) ∪ [-1, 4]

range: (-5, 3)

Step-by-step explanation:

<u>Domain</u>

The domain is the horizontal extent of the graph. Here, it is comprised of two intervals. The left interval is open, as the function is not defined for x-values of -4 or -2. That interval is (-4, -2). The right interval is closed, as the function is defined for both x=-1 and x=4. That interval is [-1, 4]. The domain is the union of these two intervals.

D: (-4, -2) ∪ [-1, 4]

<u>Range</u>

The range is the vertical extent of the graph. The left portion of the graph has a range from -5 to 3, but neither of those values is included in it. That is, the range is an open interval: (-5, 3).

The right portion of the graph has a range from 1 to 2, including both of those values. This interval is already included in the interval (-5, 3), so only one interval is needed to describe the range:

R: (-5, 3)

You might be interested in

A square has a perimeter of 8 and one vertex at (2, 2). What could be the location of another vertex of this shape? A) (1, 5) B)

Lunna [17]

Answer:

D) (0,0)

Step-by-step explanation:

It is a square so each side is 2 units because

8/4 = 2

If the first point is at (2,2) we need to find which other point is 2 away from the first one. Or two away from where that point would be since there are 3 other corners.

We can rule out A and C because they are an odd number away. B is too far away because he's distance is 4.

So the other point is (0,0)

5 0

3 years ago

Read 2 more answers

A_(n)=3*2^(n-1) please help <3

Naddika [18.5K]

Are you looking for a graph of the equation?

7 0

2 years ago

Machine A can complete a certain job in x hours. Machine B can complete the same job in y hours. If A and B work together at the

scZoUnD [109]

Answer:

$\frac{y}{x+y}$

Step-by-step explanation:

The required answer is the rate at which Machine A works when the two machines are combined.

Note: the rate of doing work is express as

$rate=\frac{1}{time taken} \\$

Hence we can conclude that Machine A working rate is

$machine A=\frac{1}{x} \\$ and machine B working rate is

$machine B=\frac{1}{y} \\$

When the two machine works together, the effective working rate is

$\frac{1}{x}+\frac{1}{y}\\\frac{xy}{x+y}\\$

The fraction of the work that Machine B will not have complete because of Machine A help is the total work done by machine A

Hence the fraction of work done by A is expressed as

$\frac{1}{x}*combine working rate$

$\frac{1}{x}*\frac{xy}{x+y}\\\frac{y}{x+y} \\$

Hence the fraction of the work that Machine B will not have complete because of Machine A help is the total work done by machine A is $\frac{y}{x+y} \\$

6 0

3 years ago

Find the rational number that does not lie between 5/12 and 3/4

Irina18 [472]

Answer:

7/8

Step-by-step explanation:

6 0

3 years ago

Devin is making a candle by pouring melted wax into a mold in the shape of a square pyramid. Each side of the base of the pyrami

Igoryamba

Answer:

5 cubes

Step-by-step explanation:

The volume of a square pyramid is given in terms of its side length (s) and height (h) as ...

V = (1/3)s^2·h

For the given measurements, the volume is ...

V = (1/3)(9 cm)^2 ·(10 cm) = 270 cm^3

___

The volume of each cube of wax is the product of its length, width, and height, so is ...

V = (4 cm)^3 = 64 cm^3

___

Then the number of wax cubes required to fill the pyramid is ...

(270 cm^3)/(64 cm^3/cube) = 4 7/32 cubes

Four cubes are not quite enough to make the candle.

Devin will need 5 cubes to make the candle.

3 0

3 years ago