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3 years ago

Multiply the polynomial (x-5)(x^2+4x-2)

Mathematics

2 answers:

nataly862011 [7]3 years ago

7 0

I believe the answer is (x^3)-(x^2)-22x+10

scoundrel [369]3 years ago

7 0

Answer:

x³ - x² - 22x + 10

Step-by-step explanation:

Given

(x - 5)(x² + 4x - 2)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x² + 4x - 2) - 5(x² + 4x - 2) ← distribute both parenthesis

= x³ + 4x² - 2x - 5x² - 20x + 10 ← collect like terms

= x³ + (4x² - 5x²) + (- 2x - 20x) + 10

= x³ + (- x²) + (- 22x) + 10

= x³ - x² - 22x + 10

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The freshman class will be selling carnations as a class project. What is the class's income after it pays the florist a flat fe

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INCOME FUNCTION F(c) = 2c - 200

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2 years ago

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2 years ago

A rectangular sheet of paper has a perimeter of 60cm. When it is folded in half along its longer line of symmetry, the perimeter

Liula [17]

Answer:

Dimensions of the original rectangle:

Length = 19 cm

Width = 11 cm

Step-by-step explanation:

Let

Length = x

Width = y

Original rectangle:

2(Length + width) = 60

2x + 2y = 60

New rectangle has same length with original rectangle but half of the width of the original rectangle when folded

Length = x

Width = 1/2y

2(Length + 1/2width) = 49

2x + y = 49

2x + 2y = 60 (1)

2x + y = 49 (2)

Subtract (2) from (1) to eliminate x

2y - y = 60 - 49

y = 11

Substitute y = 11 into (2)

2x + y = 49

2x + 11 = 49

2x = 49 - 11

2x = 38

x = 38/2

x = 19

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3 0

3 years ago

The 13th term of a geometric sequence is 16, 384 and the first term is 4. What is the common ratio?

AleksAgata [21]

Answer:

$\large \boxed{2}$

Step-by-step explanation:

The formula for the nth term of a geometric sequence is

aₙ = a₁rⁿ⁻¹

In your geometric sequence, a₁ = 4 and a₁₃ = 16 384.

$\begin{array}{rcl}16384 & = & 4r^{(13 - 1)}}\\16384 & = & 4r^{12}\\4096 & = & r^{12}\\3.6124 & = & 12 \log r\\0.30102 & = & \log r\\r & = & 10^{0.30102}\\ & = & \mathbf{2}\\\end{array}\\\text{The common ratio is $\large \boxed{\mathbf{2}}$}$

Check:

$\begin{array}{rcl}16384 & = & 4(2)^{12}\\16384 & = & 4(4096)\\16384 & = & 16384\\\end{array}$

It checks.

7 0

2 years ago

Uninhibited growth can be modeled by exponential functions other than A(t) =Upper A 0 e Superscript kt. For example, if an i

laila [671]

The question is incomplete. Here is the complete question.

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