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mario62 [17]
2 years ago
7

Multiply the polynomials.

Mathematics
2 answers:
alexgriva [62]2 years ago
8 0

Answer:

a. 12-16c²d+4c⁴d²

Step-by-step explanation:

{ \tt{(3 -  {c}^{2} d)(4 - 4 {c}^{2} d)}}

• Open bracket using distributive property:

= { \tt{(3 \times 4) + (3 \times  - 4 {c}^{2}d) + ( -  {c}^{2}d \times 4) + ( -  {c}^{2}  d \times  - 4 {c}^{2} d) }} \\  = { \tt{12 - 12 {c}^{2} d - 4 {c}^{2} d + 4 {c}^{4} {d}^{2}  }} \\ { \tt{ =  {4c}^{4}  {d}^{2}  - 16 {c}^{2}d + 12 }}

liberstina [14]2 years ago
4 0

Answer:

4c^4d^2 - 16dc^2 + 12

Step-by-step explanation:

(3 - 1c^2d)(4 - 4c^2d)

First, you rearrange the terms:

(-c^2d + 3)(4 - 4c^2d)

(-c^2d + 3)(-4c^2d + 4)

Distribute:

(-4c^2d + 4)(-c^2d) + 3 (-4c^2 + 4)

We want the constants to be on the left, in order to do that, you re-order the terms:

-(-4c^2d + 4)c^2 + 3(-4c^2d + 4)

Distribute:

-(-4c^4d^2 + 4dc^2) + 3 (-4c^2d + 4)

4c^4d^2 + 3 (-4c^2d + 4)

4c^4d^2 - 16dc^2 + 12

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6/63

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2.85 tons when rounded to the nearest hundreds
Vinil7 [7]

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Step-by-step explanation:

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3 years ago
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Rich is comparing the cost of maintaing his car with the depreciating value of the car. When will the cost and value be the same
goldfiish [28.3K]

Complete question:

Rich is comparing the cost of maintaining his car with the depreciation value of the car.

The value starts at $20,000 and decreases by 15% each year. The maintanance cost is $500 the first year and increases by 28% per year.

When will the maintenance cost and the value be the same.

Answer:

9 years

Step-by-step explanation:

Depreciation is modeled by an exponential function :

A = p(1 - r)^t [decrease, '-']

A = 20,000(1 - 0.15)^t

A = 20000(0.85)^t - - - (1)

Maintainace cost :

A = p(1 + r)^t ; [increase, '+']

A = 500(1 + 0.28)^t

A = 500(1.28)^t - - - (2)

Equating (1) and 2

20000(0.85)^t = 500(1.28)^t

1.28^t / 0.85^t = 20000/500

(1.28 / 0.85)^t = 40

Take log of both sides

Log (1.28 / 0.85)^t = log 40

t * 0.1777910 = 1.6020599

t = 1.6020599 / 0.1777910

t = 9.01

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8 0
3 years ago
Classify each function. (a) y = x − 3 x + 3 root function logarithmic function power function trigonometric function rational fu
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Answer:

a) rational

b) rational

c)exponential

d) power function

e) polynomial function of degree 6

f) trig function

Step-by-step explanation:

Functions can be classified by the operations they contain. Remember the following functions:

  • Power function has as its main operation of an exponent on the variable.
  • Root function has as its main operation a radical.
  • Log function has as its main operation a log.
  • Trig function has as its main operation sine, cosine, tangent, etc.
  • Rational exponent has as its main function division by a variable.
  • Exponential function has as its main operation a variable as an exponent.
  • Polynomial function is similar to a power function. It has as its main function an exponent of 2 or greater on the variable.

Below is listed each function. The bolded choice is the correct type of function:

(a) y = x − 3 / x + 3 root function logarithmic function power function trigonometric function rational function exponential function polynomial function of degree 3

(b) y = x + x2 / x − 2 power function rational function algebraic function logarithmic function polynomial function of degree 2 root function exponential function trigonometric function

(c) y = 5^x logarithmic function root function trigonometric function exponential function polynomial function of degree 5 power function

(d) y = x^5 trigonometric function power function exponential function root function logarithmic function

(e) y = 7t^6 + t^4 − π logarithmic function rational function exponential function trigonometric function power function algebraic function root function polynomial function of degree 6

(f) y = cos(θ) + sin(θ) logarithmic function exponential function root function algebraic function rational function power function polynomial function of degree 6 trigonometric function

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3 years ago
In a​ poll, 69​% of the people polled answered yes to the question​ "Are you in favor of the death penalty for a person convicte
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Answer:

At least 2 people were surveyed

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