All categories

3 years ago

A function, f(x) = 4x + 5, has a domain 0 sxs 50. What is its range?

Mathematics

1 answer:

diamong [38]3 years ago

4 0

Answer:

f(x) = 4x+5 ; 0 ≤ x ≤ 50

The range is the possible output values of f(x)

4(0) + 5 = 5 smallest output value in range

4(50) + 5 = 55 largest output value in range

The outputs are between 5 and 55 including the endpoints so

the range is [5, 55]

Step-by-step explanation:

You might be interested in

Five out of 10 marbles in a bag are red. What percentage of the marbles are not red?

Jlenok [28]

Answer:

50%

Step-by-step explanation:

Five out of 10 is 50%

8 0

4 years ago

Read 2 more answers

The circle described by the equation <img src="https://tex.z-dn.net/?f=%28x-3%29%5E%7B2%7D%20%2B%28y%2B4%29%5E%7B2%7D%3D9" id="T

ElenaW [278]

Answer:

The point at which center of the image circle located is (-2, -3) so second option is correct.

Step-by-step explanation:

Given equation of circle is:

$(x-3)^{2} + (y+4)^{2} = 9$ (i)

The general equation of circle is mentioned below,

$(x-h)^{2} + (y-k)^{2} = r^{2}$ (ii)

Here 'r' represents the radius of the circle and (h,k) shown the center of the circle.

By comparing equation (i) and equation (ii), we get

r^2 = 9

r = 3

$(x-3)^{2} = (x-h)^{2}$

$(x-3) = (x-h)$

$h = 3$

$(y+4)^{2} = (y-k)^{2}$

$(y+4) = (y-k)$

$k = -4$

So the center of given circle is (h,k) = (3,-4)

Also, the circle is translated 5 units left, that is towards the -x-axis. Therefore h = 3 - 5 = -2

Also, the circle is translated 1 unit up, that is towards the +y-axis. Therefore k = -4 + 1 = -3

Hence, the point at which center of the image circle located is (-2, -3) so second option is correct.

6 0

3 years ago

Read 2 more answers

Anais bought yards of ribbon. she had feet inches of ribbon left after trimming some curtains. how many inches of ribbon did ana

castortr0y [4]

Anais bought 2 1/2 yards of ribbon. She had 2 feet 8 inches of ribbon left after trimming some curtains. Anais uses 58 inches of ribbon to trim the curtains.

What is Unit Conversion?

Conversion of one unit to another unit of measurement for the same quantity using multiplication/division by conversion factors is known as unit conversion.
The units are expressed using scientific notation and converted into numerical values as per the quantities.

Anais bought 2 1/2 yards of ribbon.

And she had 2 feet 8 inches left after trimming some curtains.

The first thing to do is to convert all units to inches;

From standard conversion rate.

1 yard = 36 inches

As such 2 1/2 yards of ribbon in inches will be:

= 2 1/2 × 36 inches

= 5/2 × 36 inches

= 5 × 18 inches

= 90 inches of ribbon bought.

Similarly, since 1 foot = 12 inches.

The amount of curtains left after trimming is:

= ( ( 2 × 12 ) + 8 )inches

= (24 + 8) inches

= 32 inches

If Anais bought 90 inches of ribbon and she had 32 inches of ribbon left after trimming some curtains.

It implies that the number of inches of ribbon that Anais used is:

= 90 inches - 32 inches

= 58 inches

Therefore, we can conclude that Anais used 58 inches of ribbon.

Learn more about Unit Conversion

brainly.com/question/2495501

#SPJ4

The complete question is-

Anais bought 2 1/2 yards of ribbon. She had 2 feet 8 inches of ribbon left after trimming some curtains. How many inches of ribbon did Anais use to trim the curtains?

Anais used _____ inches of ribbon.

6 0

2 years ago

What is a number t divided by 3 in algebraic expression

bogdanovich [222]

t/3 is your expression.

feel free to add me as a friend as I am very good at math.

7 0

4 years ago

The volume of a cube is 8in to the 3 how long is each side

Alex777 [14]

It is 24in cube value 8 times 3 equals 24

3 0

3 years ago