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2 years ago

Which inequality is represented by this graph? -5 4 -3 -2 -1 0 1 N 3 4 5

Mathematics

1 answer:

Westkost [7]2 years ago

7 0

Answer:

x≥0

Step-by-step explanation:

The arrow is moving right, to the larger numbers from the starting point at 0. This means that x has to be greater than 0

Because the point at 0 is an empty white dot, it means that it is a 'greater than or equal to' symbol ( looks like this ≤ or ≥, depending on which side you write the x)

So, the final answer is x is greater than or equal to 0, which in maths terms looks like this x≥0, or this 0≤x.

NOTE:

- filled in dot on the number line = greater than, or less than (>)

- empty dot on number line [like the one on this Q] = greater than or equal to, or less than or equal to (≥)

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??????????????????????

gtnhenbr [62]

Answer:

110 degrees

Step-by-step explanation:

I don't know if that is correct.

6 0

2 years ago

Y'all I need help with this !!!

Zanzabum

Answer:

see explanation

Step-by-step explanation:

The opposite angles of an inscribed quadrilateral are supplementary, thus

5x + 20 + 7x - 8 = 180

12x + 12 = 180 ( subtract 12 from both sides )

12x = 168 ( divide both sides by 12 )

x = 14

Thus

∠ RQP = 10x = 10(14) = 140°

∠PSR = 180° - 140° = 40° ( opposite angles are supplementary )

∠ SRQ = 7X - 8 = 7(14) - 8 = 98 - 8 = 90°

∠ QPS = 5x + 20 = 5(14) + 20 = 70 + 20 = 90°

6 0

2 years ago

Read 2 more answers

What is the sum of the first 51 consecutive odd positive integers?

Angelina_Jolie [31]

We call:

$a_{n}$ as the set of the first 51 consecutive odd positive integers, so:

 $a_{n} = \{1, 3, 5, 7, 9...\}$

Where:
$a_{1} = 1$
$a_{2} = 3$
$a_{3} = 5$
$a_{4} = 7$
$a_{5} = 9$
and so on.

In mathematics, a sequence of numbers, such that the difference between two consecutive terms is constant, is called Arithmetic Progression, so:

3-1 = 2
5-3 = 2
7-5 = 2
9-7 = 2 and so on.

Then, the common difference is 2, thus:

 $a_{n} = \{ a_{1} , a_{1} + d, a_{1} + d + d,..., a_{1} + (n-2)d+d\}$

Then:

 $a_{n} = a_{1} + (n-1)d$

So, we need to find the sum of the members of the finite series, which is called arithmetic series:

There is a formula for arithmetic series, namely:

 $S_{k} = ( \frac{a_{1} + a_{k}}{2} ).k$

Therefore, we need to find:
 $a_{k} = a_{51}$

Given that $a_{1} = 1$ , then:

$a_{n} = a_{1} + (n-1)d = 1 + (n-1)(2) = 2n-1$

Thus:
$a_{k} = a_{51} = 2(51)-1 = 101$

Lastly:

$S_{51} = ( \frac{1 + 101}{2} ).51 = 2601$

4 0

2 years ago

On average how fast did he drive in hours per mile

Sindrei [870]

Answer:

38 miles per hour

Step-by-step explanation:

Simple just divide 342/9 to get 38

4 0

2 years ago

What is the reciprocal of 3 1/5

Talja [164]

Answer:

5/16

Step-by-step explanation:

We need to change the mixed number to an improper fraction to find the reciprocal

3 1/5 = (5*3+1)/5 = 16/5

The reciprocal of 16/5 is found by flipping the fraction

5/16

4 0

2 years ago

Read 2 more answers