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3 years ago

Which of the following accurately lists all the discontinuities for the graph below

Mathematics

2 answers:

Mila [183]3 years ago

6 0

The correct answer is option B.

From the graph we can see the following discontinuities:
a) A hole at x = -2
b) A jump at x = 0
c) A hole at x = 8

The hole refers to the point discontinuity and the jump refers to as jump discontinuity. The function is defined and is continuous at x = 3

Thus, the given graph has jump discontinuity at x = 0 and point discontinuity at x = -2 and x = 8

ss7ja [257]3 years ago

4 0

Answer:

Step-by-step explanation:

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Which of the following statements are never true? Select all that apply. Three points are coplanar Two planes meet in exactly on

statuscvo [17]

Answer: Two planes meet in exactly one point

Two lines meet at exactly two points

Step-by-step explanation:

From the given statements there are two statements which are never true :-

1) Two planes meet in exactly one point .

Since when two line meets , they either meet at one point or infinite points (coincidence) , thus its impossible that they will meet at exactly two points.

2) Two lines meet at exactly two points

Since when two planes meet , the intersection of two plane always make a line not a point. Thus its impossible.

7 0

3 years ago

Prove that if r is any rational number, then 3r2 − 2r + 4 is rational. The following properties may be used in your proof. Prope

ziro4ka [17]

Given:

Expression is

$3r^2-2r+4$

To prove:

If r is any rational number, then $3r^2-2r+4$ is rational.

Step-by-step explanation:

Property 1: Every integer is a rational number. It is Theorem 4.3.1.

Property 2: The sum of any two rational numbers is rational. It is Theorem 4.3.2.

Property 3: The product of any two rational numbers is rational. It is Exercise 15 in Section 4.3.

Let r be any rational number.

We have,

$3r^2-2r+4$

It can be written as

$3(r\times r)-2r+4$

Now,

3, -2 and 4 are rational numbers by property 1.

$r^2=r\times r$ is rational by Property 3.

$3r^2\text{ and }-2r$ are rational by Property 3.

$3r^2+(-2r)+4$ is rational by property 2.

So, $3r^2-2r+4$ is rational.

Hence proved.

6 0

3 years ago

How do you find the value of x?

Lelechka [254]

Lenth*with*height...

5 0

3 years ago

Bella paints rows of flowers for an art piece. There are 9 flowers in each of the 6 rows. She paints 1/3 of the flowers yellow.

Sindrei [870]

Answer: 18 yellow flowers

Step-by-step explanation:

There are 9 flowers in each of the 6 rows. The total number of flowers planted is therefore:

= 6 rows * 9 flowers per row

= 54 flowers

A 1/3 of these flowers were yellow flowers so the number of yellow flowers planted is:

= 1/3 * 54

= 54/3

= 18 yellow flowers

6 0

3 years ago

A rancher has 1000 feet of fencing in which to construct adjacent, equally sized rectangular pens. What dimensions should these

rosijanka [135]

Answer:

The dimensions that will maximize the enclosed area of the pen is 250 ft by 250 ft

Step-by-step explanation:

we have the perimeter as 1000

So the sum of the lengths will be

1000/2 = 500

The dimensions that will maximize these pens will be such that they will have equal values

Mathematically, that will be 500/2 = 250 by 250

5 0

2 years ago