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3 years ago

Express in completed square form x 2 + 6x + 20

Mathematics

1 answer:

podryga [215]3 years ago

7 0

Answer:

(x + 3)² + 11

Step-by-step explanation:

Given

x² + 6x + 20

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² + 6x

x² + 2(3)x + 9 - 9 + 20

= (x + 3)² + 11

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Slope of (0,45) (6,33) (15,15)

Vladimir [108]

Answer:

The slope is -2

Step-by-step explanation:

Given

$(x_1,y_1) = (0,45)$

$(x_2,y_2) = (6,33)$

$(x_2,y_3) = (15,15)$

Required

The slope (m)

Slope is calculated as:

$m = \frac{y_2 -y_1}{x_2 - x_1}$

So, we have:

$m = \frac{33 -45}{6 - 0}$

$m = \frac{-12}{6}$

$m =-2$

4 0

3 years ago

The product of twice a and b

Harman [31]

The product to your question is 2a+b

7 0

3 years ago

Can you help with did pretty please I'm stuck help just a, c ,d thanks luv.

Misha Larkins [42]

Answer:

a) The slope of the function is 3.

c) The equation is represented by $n(t) = 3\cdot t + 35$ .

d) The y-intercept of the function is 35.

Step-by-step explanation:

a) According to the statement, we must assume that number of pieces of mail that must be hand-sorted (dependent variable) is represented by a linear function in terms of time (independent variable). That is:

$n(t) = m\cdot t + n_{o}$ (1)

Where:

$m$ - Slope, measured in number of pieces per minute.

$t$ - Time, measured in minutes.

$n_{o}$ - Initial number of pieces of mail that must be hand-sorted (y-intercept), measured in pieces.

$n$ - Current number of pieces of mail that must be hand-sorted, measured in pieces.

From Geometry, we know that a line can be formed by know two distinct points. If we know that $n(15\,min) = 80\,p$ and $n(45\,min) = 170\,p$ , then the following system of linear equations is formed: