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Ira Lisetskai [31]

2 years ago

5

I have questions, so help is needed.

1 answer:

rjkz [21]2 years ago

4 0

1. 2x + 6
2. x - 80
3. 28/2
!! :) or for last one you can switch the “/“ with a division symbol

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Show that B = {[a, b) ⊂ ℝ | a < b} is a basis for a topology on ℝ

loris [4]

Answer:

Remember that a set $\mathcal{B}$ is a base for some topology on $\mathbb{R}$ if satisfy the following properties:

1. $\mathbb{R}=\cup\{B: B\in\mathcal{B}\}$

2. For $B, B^* \in \mathcal{B}$ , If $p\in B\cap B^*$ then exist $B_p\in\mathcal{B}$ such that $p\in B_p\subset B\cap B^*$ .

Now, for $B=\{[a,b)\subset\mathbb{R}| a < b\}$ we verify the above properties:

1. It's clear that $\mathbb{R}=\cup_{a,b \text{ with }a$

2. Let $B=[a,b), B^*=[c,d) \in \mathcal{B}, p\in B\cap B^*$ . Without loss of generality suppose that $a$ . Then $c\leq p < b$ , this implies that $p\in[c,b)$ and $B_p=[c,d) \in \mathcal{B}$ and $B_p\subset B\cap B^*$ .

Then, B satisfy the two properties. This show that B is a basis for a topology in $\mathbb{R}$

6 0

3 years ago

Help Please!!!!!!!!!!!!!

Brrunno [24]

Answer:

x = 149/2 or x = 74.5

Step-by-step explanation:

GCF = 16

2x - 144 = 5

2x = 149

x = 149/2 or x = 74.5

6 0

3 years ago

Read 2 more answers

The point A = (7,4) is dilated from the origin by a scale factor r = 3. What are the coordinates of A' ?

fomenos

Given:

The coordinates of point A are (7,4).

It is dilated from the origin by a scale factor r = 3.

To find:

The coordinates of A'.

Solution:

If a figure is dilated from the origin by a scale factor k, then

$(x,y)\to (kx,ky)$

Here, the figure is dilated from the origin by a scale factor 3, so the rule of dilation is given by:

$(x,y)\to (3x,3y)$

Using this rule, we get

$A(7,4)\to A'(3(7),3(4))$

$A(7,4)\to A'(21,12)$

Therefore, the coordinates of point A' are (21,12).

6 0

2 years ago

A bike cost 129.90 what is your total with a tax of 5%

cricket20 [7]

Answer:

so you just use the equation to get the formula and extract the common denominator

Step-by-step explanation:

because i said so

6 0

2 years ago

Target is having a holiday sale and is marking down

BaLLatris [955]

Answer:

$375

Step-by-step explanation:

Convert the 25% discount into a decimal, which is 0.25
Multiply the original listed price ($500) by the discount as a decimal (0.25), which is $125
Subtract the original list price ($500) by $125 (the discount as a number). This is $375, which is the answer.

7 0

3 years ago

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