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3 years ago

In factoring by grouping, what would you have for step 3 for the following?

Mathematics

2 answers:

MA_775_DIABLO [31]3 years ago

8 0

Answer:

Factor out the x+5

(x+5)(x^2+4)

Step-by-step explanation:

Step 1: x^3 +5x^2 +4x+20

Step 2: x^2 (x+5)+4(x+5)

Step 3: Factor out the x+5

(x+5)(x^2+4)

solong [7]3 years ago

6 0

Answer:

Step 3: (x^2 + 4)(x + 5)

Step-by-step explanation:

Step 1: x^3 +5x^2 + 4x+20

Step 2: x^2 (x+5) + 4(x+5)

Step 3: (x^2 + 4)(x + 5)

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5.08 in fraction form and simplest form with work!

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Are u in a middle of a test right now or something

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4 years ago

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3. Kara joins a movie club. She receives 8 free DVDs when she joins. She must buy 2 DVDs a month.

Artyom0805 [142]

Answer:

Answer to part one of the problem = 24 DVD's

Answer to part two of the problem = 2 · x = y

Answer to part three of the problem = 25 months

Step-by-step explanation:

Part 1:

She buys 2 DVD's a month and there are 12 months in a year.

2 x 12 = 24

The minimum amount of DVD's she buys if she is in the club for one year is 24 DVD's

Part 2:

y = minimum number of DVD's bought after x years

x = amount of months

so the equation would look like this:

2 · x = y

Part 3:

If she sticks to the minimum of buying 2 DVD's a month then we can create this equation:

50 / 2 = 25

she will be a member for 25 months or 2 years and 1 month.

3 0

3 years ago

On a grid does the x axis or y axis come first?

yKpoI14uk [10]

The X-axis comes first

6 0

3 years ago

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What is the value of x? 8x + 2

m_a_m_a [10]

Answer:

x = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Geometry

All angles in a triangle add up to 180°

Step-by-step explanation:

Step 1: Set up equation

(8x + 2) + 70 + 60 = 180

Step 2: Solve for x

Combine like terms: 8x + 132 = 180
Isolate x term: 8x = 48
Isolate x: x = 6

8 0

3 years ago

A long-jumper lifts off 3 m after starting his run, and lands 6 m later. When he is 8 m from the start line, he is 5 cm above th

Alexeev081 [22]

Answer:

The equation of the parabola that models the path of the long jumper through the air is $y = -x^{2} +12$ × $x-27$

Step-by-step explanation:

Mathematically, we know that parabolas are second-order polynomials and every second-order polynomials, also known as quadratic functions, can be constructed by knowing three different points of the curve. The standard form of the parabola is:

$y = a$ × $x^{2} +b$ × $+ C$

Where:

x - Horizontal distance from the start line, measured in meters.

y - Height of the long jumper, measured in meters.

a,b,c - Polynomial constants, measured in $\frac{1}{m}$ , dimensionless and meters, respectively.

If we know that $(x_{1},y_{1}) = (3\,m, 0\,m), (x_{2},y_{2}) = (8\,m, 0.05\,m)$ and $(x_{3}, y_{3}) = (9\,m, 0\,m),$ this system of linear equations is presented below:

$9\cdot a + 3\cdot b + c = 0 (Eq. 1)81\cdot a + 9\cdot b + c = 0 (Eq. 2)64\cdot a + 8\cdot b + c = 0.05 (Eq. 3)$

The coefficients of the polynomial are, respectively:

$a = -\frac{1}{100}, b = \frac{3}{25}, c = -\frac{27}{100}$

The equation of the parabola that models the path of the long jumper through the air is $y' = -\frac{1}{100}\cdot x^{2}+\frac{3}{25}\cdot x -\frac{27}{100}.$

But we need y measured in centimeters, then, we use the following conversion:

$y = 100\cdot y'$

Then, we get that:

$y = -x^{2}+12\cdot x -27$

Where x and y are measured in meters and centimeters, respectively.

The equation of the parabola that models the path of the long jumper through the air is $y = -x^{2}+12\cdot x -27.$

4 0

3 years ago