What is the intermediate step in the form (x+a)2 = b as a result of completing the square for the following x^2+16x-145=10x-7

X ^3 + 6x^2 +12x+8 ÷(x+2)

Doss [256]

X^2+4x+4 and there is no remainder

4 0

3 years ago

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What's a triangle with 3 acute angles

MAVERICK [17]

A triangle is scalene if all of its three sides are different (in which case, the three angles are also different). If two of its sides are equal, a triangle is called isosceles. A triangle with all three equal sides is called equilateral

4 0

3 years ago

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Linear functions can be used to find the price of a building based on its floor area below are two of these functions,

Alborosie

Answer:

Part A) see the explanation

Part B) see the explanation

Part C) see the explanation

Step-by-step explanation:

The complete question in the attached figure

Part A) Find and compare the slopes

we have

Function 1

$y=40x+15,000$

This is a linear equation in slope intercept form

$y=mx+b$

where

y is the price of the building in thousands

x is the floor area in square foot

m is the slope

b is the y-intercept

we have

$m=\$40\ per\ ft^2$

Function 2

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

take two points from the data in the table

(400,32,000) and (700,56,000)

Remember that the price in the table is in thousands

substitute

$m=\frac{56,000-32,000}{700-400}$

$m=\$80\ per\ ft^2$

The slope of the Function 2 is greater than the slope of the Function 1

The slope of the Function 2 is two times the slope of the Function 1

Part B) Find and compare the y-intercept

we know that

The y-intercept is the value of y when the value of x is equal to zero

Function 1

$y=40x+15,000$

For x=0

$y=40(0)+15,000=\$15,000$

Function 2

Find the equation in point slope form

$y-y1=m(x-x1)$

we have

$m=80\\point\ (400,32,000)$

substitute

$y-32,000=80(x-400)$

Convert to slope intercept form

isolate the variable y

$y-32,000=80x-32,000\\y=80x$

For x=0

$y=80(0)=0$

The y-intercept of the function 1 is $15,000 and the y-intercept of the function 2 is zero (the line passes through the origin)

Part C) Describe each function as proportional or non proportion

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

so

Function 1

$y=40x+15,000$ -----> is a non proportional linear function (because the line has a y-intercept)

Function 2

$y=80x$ ----> is a proportional linear equation (the line passes through the origin)

7 0

2 years ago

What is the sum of the interior angles of the polygon shown below?

Dmitry_Shevchenko [17]

Answer:

Step-by-step explanation:

7 0

3 years ago

• Weekly - 52 weeks per year, 52 paychecks per year• Biweekly - every other week, 26 paychecks per year • Semimonthly - twice a

s2008m [1.1K]

A. Biweekly you receive 26 paychecks per year, because the year have 52 weeks so the half is 26

B.

we divide by 24 because the year has 24 fortnights or semimontlhys

$\begin{gathered} \frac{42,350}{24} \\ =1,764.58 \end{gathered}$

the payment of each period is for 1764.58$

7 0

1 year ago