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3 years ago

What is the term that is used for the only number which is neither positive nor negative.

Mathematics

1 answer:

Firlakuza [10]3 years ago

3 0

Answer:

Zero is neither positive nor negative integer and is known as origin.

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PLEASE it’s due tonight help me! All help will be greatly appreciated.

wariber [46]

Answer:

233

Step-by-step explanation:

2ed

6 0

2 years ago

The nth term of a sequence is 3n²-1

Anarel [89]

Answer: The number is 26.

Step-by-step explanation:

We know that:

The nth term of a sequence is 3n²-1

The nth term of a different sequence is 30–n²

We want to find a number that belongs to both sequences (it is not necessarily for the same value of n) then we can use n in one term (first one), and m in the other (second one), such that n and m must be integer numbers.

we get:

3n²- 1 = 30–m²

Notice that as n increases, the terms of the first sequence also increase.

And as n increases, the terms of the second sequence decrease.

One way to solve this, is to give different values to m (m = 1, m = 2, etc) and see if we can find an integer value for n.

if m = 1, then:

3n²- 1 = 30–1²

3n²- 1 = 29

3n² = 30

n² = 30/3 = 10

n² = 10

There is no integer n such that n² = 10

now let's try with m = 2, then:

3n²- 1 = 30–2² = 30 - 4

3n²- 1 = 26

3n² = 26 + 1 = 27

n² = 27/3 = 9

n² = 9

n = √9 = 3

So here we have m = 2, and n = 3, both integers as we wanted, so we just found the term that belongs to both sequences.

the number is:

3*(3)² - 1 = 26

30 - 2² = 26

The number that belongs to both sequences is 26.

6 0

2 years ago

Solve for x Please help quick

LenaWriter [7]

A and b are perpendicular meaning that they intersect forming 90
b and c are parallel meaning that the intersection of c and a is also perpendicular

11x - 9 = 90 degrees
solve
11x - 9 = 90
add 9 to both sides
11x = 99
divide both sides by 11
x = 9

Hope this helps

3 0

3 years ago

Fernando is making 30 sundaes with mint, chocolate,and vanilla ice cream.1/3 of the Sunday's are mint ice-cream and 1/2 of the r

Alina [70]

Answer:

10 sundaes will be vanilla.

Step-by-step explanation:

Given:

Fernando is making 30 sundaes with mint, chocolate,and vanilla ice cream.

1/3 of the Sunday's are mint ice-cream.

And 1/2 of the remaining sundaes are chocolate.

The rest are vanilla.

Now, to find the number of sundaes that will be vanilla.

Fernando is making sundaes total = 30.

So, the quantity of sundaes that are mint ice-cream:

$\frac{1}{3} \ of\ 30\\\\=\frac{1}{3} \times 30\\\\=10.$

Thus, 10 sundaes are mint ice-cream.

So, the remaining sundaes are:

$30-10=20.$

Thus, the remaining sundaes are = 20.

Now, to get the quantity of chocolate sundaes of the remaining sundaes:

$\frac{1}{2} \ of\ 20\\\\=\frac{1}{2} \times 20\\\\=10.$

Hence, 10 sundaes are chocolate of the remaining 20 sundaes.

As, given the rest are vanilla.

Now, to get the vanilla sundaes we subtract the 10 chocolate ice-cream from the 20 remaining sundaes:

$20-10=10.$

Therefore, 10 sundaes will be vanilla.

5 0

3 years ago

A line contains the points (4,2) and (0,1). What is the equation of the line?

Troyanec [42]

$\bf (\stackrel{x_1}{4}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{4}}}\implies \cfrac{-1}{-4}\implies \cfrac{1}{4}$

$\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{\cfrac{1}{4}}(x-\stackrel{x_1}{4}) \\\\\\ y-2=\cfrac{1}{4}x-1\implies y = \cfrac{1}{4}x+1$

3 0

3 years ago

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