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irina1246 [14]
3 years ago
9

If the slope of a line is 3, then what is the value of n when (2, -8) and (n, 1) are on the line?

Mathematics
1 answer:
givi [52]3 years ago
5 0

Answer:

n = 5

Step-by-step explanation:

m = (y₂ - y₁) / (x₂ - x₁)

m = (1 - (-8)) / (n - 2)

3 = ( 1 + 8 ) / ( n - 2)

3 = 9 / ( n - 2)

n - 2 = 9 / 3

n - 2 = 3

n = 3 + 2

n = 5

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Answer:

The correct answer is B) 102

Step-by-step explanation:


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−4x+7y+5= 0x−3y=−5​<br><br>How many solutions does the system have?
seraphim [82]
{-4x+7y+5=-5
{0x-3y=-5 Solve the equation.

{-4x+7y+5=-5
{y=5/3 Substitute the value of y.

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Find a polynomial function with leading coefficient 1 that has the given zeros, multiplicities, and degree. Zero: 2, multiplicit
valkas [14]

Given:

Zero: 2, multiplicity: 3

Zero: 0, multiplicity: 2

Degree: 5

Leading coefficient = 1

To find:

The polynomial function.

Solution:

The general form of a polynomial is

P(x)=a(x-c_1)^{m_1}(x-c_2)^{m_2}...(x-c_n)^{m_n}

where, a is a constant, c_1,c_2,...,c_n are zeroes with multiplicity m_1,m_2,...,m_n.

Using the given information and the general form of a polynomial, we get

P(x)=a(x-2)^{3}(x-0)^{2}

P(x)=ax^2(x^3-6x^2+12x-8)

P(x)=a(x^5-6x^4+12x^3-8x^2)

Leading coefficient is 1, so the value of a is also 1.

P(x)=1(x^5-6x^4+12x^3-8x^2)

P(x)=x^5-6x^4+12x^3-8x^2

Therefore, the required polynomial is P(x)=x^5-6x^4+12x^3-8x^2.

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3 years ago
Give two examples of each type of number: real, natural, integers, rational and irrational.
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3 years ago
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bulgar [2K]

Answer:

Value of x for fg(x)=gf(x) at <em>f(x) = 2x²</em> and <em>g(x) = x+1</em> is x = -1/4 .

Step-by-step explanation:

We have, f(x) = 2x² and g(x) = x+1

Now, f(g(x)) = g(f(x))

⇒ <em>2(x+1)² = 2x² + 1</em>

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<em>⇒ 4x = -1</em>

<em>⇒ </em><em>x = -1/4</em>

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