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3 years ago

Write an equation in slope-Intercept form for the line with slope 2/5 and y- intercept - 3

Mathematics

1 answer:

patriot [66]3 years ago

7 0

Answer:

y = ⅖x - 3

Step-by-step explanation:

Given the slope, (m ) = ⅖, and the y-intercept, (b) = 3:

The slope-intercept form is y = mx + b where:

m = slope (or the rate of change), which details the steepness of the line.

b = y-intercept (or the initial value). This is the point on the graph where it crosses the y-axis.

Since we are given the slope of ⅖ and the y-intercept of -3, then we can substitute these values into the slope-intercept form: y = ⅖x - 3.

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Write as a product of two polynomials. a(b–c)+d(c–b)

Natasha2012 [34]

The product of two polynomial is (b - c)(a - d)

Step-by-step explanation:

Let us explain the meaning of polynomial

A polynomial is an expression consisting of:

Variables

Coefficients
Involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables

∵ a(b - c) + d(c - b)

∵ We need to write it as a product of two polynomials

- That means factorize it to have two brackets multiplied by

each other and each one has 2 terms

∵ The bracket (c - b) can be written as (-b + c)

- Take (-1) as a common factor from the bracket (-b + c)

∵ -b ÷ (-1) = b

∵ c ÷ (-1) = -c

∴ (-b + c) = - (b - c)

- Substitute it in the expression above

∴ a(b - c) + d(c - b) = a(b - c) + d(-1)(b - c)

∵ d(-1) = -d

∴ a(b - c) + d(c - b) = a(b - c) - d(b - c)

Let us factorize the expression a(b - c) - d(b - c)

The bracket (b - c) is a common factor of the two terms

∵ (b - c) is a common factor of the two terms of the expression

∵ a(b - c) ÷ (b - c) = a

∵ - d(b - c) ÷ (b - c) = - d

∴ a(b - c) - d(b - c) = (b - c)(a - d) ⇒ product of 2 polynomial

The product of two polynomial is (b - c)(a - d)

Learn more:

You can learn more about factorization in brainly.com/question/7932185

#LearnwithBrainly

4 0

4 years ago

Find g(1) if g(x) = x^2 + 1. 2 3 4 Answer is NOT 3.

kirza4 [7]

2 because 1x1=1 and 1+1=2

7 0

4 years ago

Read 2 more answers

Somebody help me with this math plz!!!

Leya [2.2K]

Answer:

-60 miles per hour

Step-by-step explanation:

3 0

3 years ago

To a box that contained 30 pencils 10 out of which were red several more non-red pencils were added. Now 25% of all pencils in t

Anastasy [175]

Answer:

The Amount of Non-red pencil which were added to the box = 10

Step-by-step explanation:

Given as :

The number of pencils in a box = 30

The number of red pencils in a box out of 30 = 10

So , the number of Non-red pencils = 30 - 10 = 20

Again let the number of Non-red pencils which added further = x

So, now the amount of total pencil get increase to (30+x)

Among (30+x) pencils in box,25% of them are red ,

I.e The number of red pencils in a box out of (30+x) = 25% of (30+x)

And the number of Non-red pencils = 20 + x

SO, according to question

25% of (30+x) + (20+x) = (30+x)

Or, (20+x) = (30+x) - (25% of (30+x))

Or, 20+x = (30+x) [ 1 -( $\frac{25}{100}$ ]

Or, 20+x = (30+x) ( $\frac{3}{4}$

Or, 80+4x = 90+3x

or 4x - 3x = 90-80

Or, x = 10

Hence the number of Non-Red pencils in the box which added further = 10 Answer

4 0

3 years ago

Problem PageQuestion

Margarita [4]

The investment will be worth $4686.62 after 5 years.

Step-by-step explanation:

Principal, P = 3700

Rate, r = 4.75% = 0.0475

Number of years, t = 5 years

Number of times compounded, n = 5 times

Amount = P(1 + r/n)^nt

⇒ 3700 (1 + 0.0475/5)^25

⇒ 3700 (5.0475/5)^25

⇒ 3700 (1.0095)^25

⇒ 4686.62

∴ Amount = $4686.62

7 0

3 years ago