All categories

1 year ago

F(x)=-2x+4 find domain and range

Mathematics

1 answer:

Arturiano [62]1 year ago

3 0

Domain: All real numbers

Range: All real numbers

Since the function is linear it is a continuous straight line meaning that the domain and range are all real numbers.

You might be interested in

What is the value of x?<br><br><br><br> Enter your answer in the box.

vaieri [72.5K]

Answer:

80 degrees

Step-by-step explanation:

all triangles have the angles of 180 degrees, so by that logic, 180-70-30=80.

3 0

2 years ago

Read 2 more answers

A rug is to be centered in a room so that the border around it is of a consistent width on all four sides. If the room is 10 ft

aleksley [76]

Answer:

The width of the border can be 9 feet or 3.5 feet.

Step-by-step explanation:

Let the width be x

Length of room = 10 feet

Breadth of room = 15 feet

Length of rug = 10-2x

Breadth of rug = 15-2x

Area of rug = $(10-2x)(15-2x)$

We are given that the area of the rug is 24 square feet.

So, $(10-2x)(15-2x)=24$ ---A

$150-20x-30x+4x^2=24$

$150-24-50x+4x^2=0$

$126-50x+4x^2=0$

$2(x-9)(2x-7)=0$

$x=9,\frac{7}{2}$

$x=9,3.5$

Substitute x =9 in A

$(10-2(9))(15-2(9))=24$

$24=24$

LHS = RHS

Substitute x = 3.5

$(10-2(3.5))(15-2(3.5))=24$

$24=24$

LHS = RHS

So, The width of the border can be 9 feet or 3.5 feet.

7 0

3 years ago

Mario is constructing a frame for a 10 in .by 8 in. photo. He wants the frame to be the same width all the way around and the to

alexgriva [62]

(10+2x)(8+2x) = 120
4x^2 + 36x + 80 = 120
x^2 + 9x + 20 = 30

x^2 + 9x - 10 = 0

(x+10)(x-1) = 0

x = 1 inch dimension

8 0

3 years ago

Read 2 more answers

What does g(x) equal for number 4?

Arisa [49]

G(x) is a quadratic function with a parabolic graph that opens up and has vertex at (0,0). If we dilate this vertically by a factor of 6, we get h(x) = 6x^2.

If we translate the graph of h(x) 1 unit up and 4 units to the right, we get

k(x) = 6(x-4)^2 + 1.

3 0

3 years ago

A corporate team-building event costs $19plus an additional $1 per attendee. How many attendees can there be, at most, if the bu

Mars2501 [29]

Answer:

There can be at most $12$ attendees in a corporate team-building event.