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3 years ago

A line with a slope of 3 passes through the point (2, 5). Write an equation for this line in point-slope form.

Mathematics

2 answers:

cestrela7 [59]3 years ago

8 0

Y-5=3(x-2) is point slope form. y-y1=m(x-x1) is the general equation for point slope.

Phantasy [73]3 years ago

3 0

Answer:

slope = 3

point (2, 5)

b = y - m*x

b = 5 -3*2

b = -1

Then we enter the slope and the value of b into this equation:

y = mx + b

y = 3x -1

Source: https://www.1728.org/distance.htm

Step-by-step explanation:

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Match the numerical model to the corresponding graphical and algebraic models.

nikitadnepr [17]

Answer:

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2 years ago

Write a polynomial function in standard form with zeros at −3, −1, and 1.

Annette [7]

Answer:

$f(x) = {x}^{3} + 3 {x}^{2} - x -3$

Step-by-step explanation:

The given polynomial has zeros at:

x=−3, x=−1, and x=1.

This means that:

x+3, x+1, and x-1 are all factors of this polynomial.

The factored form of this polynomial is :

$f(x) = (x + 3)(x + 1)(x - 1)$

We expand the last two factors using difference of two squares.

$f(x) = (x + 3)( {x}^{2} - 1)$

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This is the standard form because it is now in decreasing powers of x.

8 0

3 years ago

A rectangle has an area of 12y^2+21y^512 y 2 +21y 5 12, y, squared, plus, 21, y, start superscript, 5, end superscript.The width

umka21 [38]

Answer:

<em>Width</em>: 3y²

<em>Length</em>: 4 + 7y³

Step-by-step explanation:

The area of the rectangle is the length multiplied by the width. For the area given: 12y² + 21y⁵

12y² = 3y²*4

21y⁵ = 3y²*7y³

So, the greatest common monomial factor is 3y², which is the width.

The area is 3y²*(4 + 7y³), the first term is the width, the other must be the length: 4 + 7y³.

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2 years ago

What is the value of x

ratelena [41]

Answer:

Step-by-step explanation:

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2 years ago

If the original quantity is 10 and the new quantity is 6, what is percent increase

Ad libitum [116K]

Answer:

Using the percentage difference formula you can find the percentage decrease.

SO its

100(new-old/new)

So we solve

10-6=4

4/10= 2/5

2/5*100=200/5

40 percent decrease

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2 years ago