Can you help me please

Prove: Every point of S=(0, 1) is an interior point of S.

myrzilka [38]

Answer:

Proved

Step-by-step explanation:

To prove that every point in the open interval (0,1) is an interior point of S

This we can prove by contradiction method.

Let, if possible c be a point in the interval which is not an interior point.

Then c has a neighbourhood which contains atleast one point not in (0,1)

Let d be the point which is in neighbourhood of c but not in S(0,1)

Then the points between c and d would be either in (0,1) or not in (0,1)

If out of all points say d1,d2..... we find that dn is a point which is in (0,1) and dn+1 is not in (0,1) however large n is.

Then we find that dn is a boundary point of S

But since S is an open interval there is no boundary point hence we get a contradiction. Our assumption was wrong.

Every point of S=(0, 1) is an interior point of S.

3 0

2 years ago

What is the selling price or the cost price depending on the information if the selling price is $21 and the game is 5%?

a_sh-v [17]

This should do the trick

3 0

2 years ago

PLEASE PLEASE HELP ME I REALLY NEED HELP

Gekata [30.6K]

Answer:

(a) yes it does

(b) the rate is constant because the rate of change (slope) is the same throughout the function.

(c) The rate, or rate of change, is -1/2.

y1 - y2/x1-x2

4 - 2/3 - 9

2/-6

-1/2

7 0

3 years ago

I’m pretty confused on this question. Anyone know the answers?

Afina-wow [57]

Answer:

see explanation

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

• If m > 0, then the line slopes upwards from left to right ( increases )

• If m < 0, then the line slopes downwards from left to right ( decreases )

(a)

y + x = 3 ( subtract x from both sides )

y = - x + 3 ← in slope-intercept form

with m = - 1 ⇒ decreasing from left to right

(c)

y = 4x + 8 ← is in slope-intercept form

with m = 4 ⇒ increasing from left to right

the equation of a line in the form x = c represents a vertical line, where c is the value of the x-coordinates the line passes through

(b)

x - 5 = 0 ( add 5 to both sides )

x = 5 ← is a vertical line

the equation of a line in the form y = c represents a horizontal line, where c is the value of the y-coordinates the line passes through

(d)

$\frac{y}{4}$ = - 6 ( multiply both sides by 4 )

y = - 24 ← is a horizontal line

3 0

2 years ago

How many solutions does this equation have

Stells [14]

Answer:

I m not sure, I can't see

Step-by-step explanation:

8 0

2 years ago