All categories

3 years ago

I wanna know: [3,5]={3,4,5}? Why?

Mathematics

1 answer:

Agata [3.3K]3 years ago

6 0

Answer:

Yes if [3,5] is a set of integers then it contains elements 3,4,5

As Closed bracket denotes that extreme points are also included and 4 is mid element in between 3 and 5

You might be interested in

Jeremy wants to give a 20% gratuity to his cab driver. His fare was $35.50. What is the total amount he will pay the driver?

Anna [14]

$42.60. You multiply 35.50 by .20 (that's decimal version of 20%) which equals 7.10. Then you add 35.50+7.10=42.60

8 0

3 years ago

Read 2 more answers

Write the equation in vertex form and then find the vertex, focus, and directrix of a parabola with equation x=y^2+18y-2

kakasveta [241]

Answer:

Part 1) The vertex is the point (-83,-9)

Part 2) The focus is the point (-82.75,-9)

Part 3) The directrix is $x=-83.25$

Step-by-step explanation:

step 1

Find the vertex

we know that

The equation of a horizontal parabola in the standard form is equal to

$(y - k)^{2}=4p(x - h)$

where

p≠ 0.

(h,k) is the vertex

(h + p, k) is the focus

x=h-p is the directrix

In this problem we have

$x=y^{2} +18y-2$

Convert to standard form

$x+2=y^{2} +18y$

$x+2+81=y^{2} +18y+81$

$x+83=(y+9)^{2}$

This is a horizontal parabola open to the right

(h,k) is the point (-83,-9)

The vertex is the point (-83,-9)

step 2

we have

$x+83=(y+9)^{2}$

<em>Find the value of p</em>

$4p=1$

$p=1/4$

<em>Find the focus</em>

(h + p, k) is the focus

substitute

(-83+1/4,-9)

The focus is the point (-82.75,-9)

step 3

Find the directrix

The directrix of a horizontal parabola is

$x=h-p$

substitute

$x=-83-1/4$

$x=-83.25$

6 0

3 years ago

A barrel had 20 liters of water. Water leaked out from the barrel at a constant rate. After 24 hours, 14 liters of water was lef

UNO [17]

I believe the answer is 1 liter every 4 hours.

3 0

4 years ago

The table represents the function f (x) = 3x – 1.

Kruka [31]

Answer:2.0/5 68 The 1st table represents a function

Step-by-step explanation:

* Lets explain how to solve the problem

- Function is a relation where each input has a single output

- The notation of the function is f(x) = y , where x is the input of the

function and y is the out put of the function

- The domain of the function is x and the range of the function is y

* Lets find which table represent a function

# First table:

x y

-3 -1

0 0

-2 -1

- In the first table

∵ -3 has only -1

∵ 0 has only 0

∵ -2 has only -1

∵ 8 has only 1

∵ Every x has a single y

∴ The table represents a function

∴ The 1st table represents a function

- In the second table

x y

-5 -5

0 0

-5 5

6 -6

∵ x = -5 has y = -5 and y = 5

∴ One x has two values of y

∴ The table doesn't represent a function

- In the third table

x y

-4 8

-2 2

-2 4

0 2

∵ x = -2 has y = 2 and y = 4

∴ One x has two values of y

∴ The table doesn't represent a function

- In the fourth table

x y

-4 2

3 5

-4 0

∵ x = -4 has y = 2 and y = 0

∴ One x has two values of y

∴ The table doesn't represent a function

4 0

3 years ago

Read 2 more answers

William is planning to create a rectangular mosaic which measures 120 cm by 144 cm. The mosaic will be covered completely with s

solmaris [256]

Answer:

Step-by-step explanation:

We need to find the greatest common factor of 120 and 144.

First, write the prime factorization of both:

120 = 2³×3×5

144 = 2⁴×3²

Both have 2³ and 3 in common, so the GCF is:

GCF = 2³×3

GCF = 24

So the side length is 24 cm. The number of squares along the width is:

120 / 24 = 5

And the number of squares along the length:

144 / 24 = 6

So the number of squares need to fill the entire area is 5×6 = 30. This is the least number of squares with whole-number side lengths that he can use.

5 0

3 years ago