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andreyandreev [35.5K]
4 years ago
6

Given a long algebraic equation, what are some strategies that you can use to make simplifying and evaluating the equation more

efficient and accurate? How do inverse operations help solve algebraic equations? Give a real-world scenario where this might be modeled.
Mathematics
2 answers:
garik1379 [7]4 years ago
7 0

Answer:

factorization and simplification

Step-by-step explanation:

Algebraic equations can be long and complicated. This results in the equations being complicated in themselves. There are several methods that are used to solve the long complicated equations. These involve the following methods:

Factorization  - factorization factors out the common factors and allows the equation to be solved.

Simplification - this is an operative that allows the reduction of the equation to the lowest terms so that it can be solved.

Alexandra [31]4 years ago
6 0
1. use PEMDAS to do the problem in the correct order, put like terms together
2. Inverse operations help by plugging the value back into the equation and ensuring you have the right answer.
3. Construction workers may do the inverse to make sure they have the correct measurements for walls or something.
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A limited-edition poster increases in value each year with an initial value of $18. After 1 year and an increase of 15% per year
Andru [333]

Answer:

y = 18 * 1.15^x

Step-by-step explanation:

Given

a = 18 --- initial

r =15\% -- rate

Value after a year = $20.70

Required

Expression to calculate its value after y years

This is calculated using:

y = ab^x

Where

b=1 +r

Substitute r =15\% in b=1 +r

b = 1 + 15\%

b = 1 + 0.15

b = 1.15

Substitute b = 1.15 and a = 18 in y = ab^x

y = 18 * 1.15^x

5 0
3 years ago
If the expression is expanded, what is the coefficient of x?
Nana76 [90]

Answer:

Coefficient is equal to 12

5 0
3 years ago
Part of the proceeds from a garage sale was $470 worth of $10 and $20 bills. If there were 14 more $10 bills than $20 bills, fin
Brums [2.3K]

There are 25 $10 bills and 11 $20 bills.

Step-by-step explanation:

Given,

Worth of proceeds from garage = $470

Let,

x be the number of $10 bills

y be the number of $20 bills.

According to given situation;

10x+20y=470       Eqn 1

x = y+14                Eqn 2

Putting value of x from Eqn 2 in Eqn 1

10(y+14)+20y=470\\10y+140+20y=470\\30y=470-140\\30y=330

Dividing both sides by 30

\frac{30y}{30}=\frac{330}{30}\\y=11

Putting y=11 in Eqn 2

x=11+14\\x=25

There are 25 $10 bills and 11 $20 bills.

Keywords: linear equation, substitution method

Learn more about linear equations at:

  • brainly.com/question/1279756
  • brainly.com/question/1284310

#LearnwithBrainly

5 0
3 years ago
The cost of producing x bags of dog food is given by C(x) = 800 + 400 + 10x - x where 0 SX 55000. Find the marginal-cost functio
nikdorinn [45]

Answer:

The marginal-cost function is;

c'(x)= (20x-1)/(2√(400 + 10x² - x))

Completed question;

The cost of producing x bags of dog food is given by C(x) = 800 + √(400 + 10x² - x) where 0≤x≤55000. Find the marginal-cost function.

The marginal-cost function is c'(x)=

(Use integers or fractions for any numbers in the expression.)

Step-by-step explanation:

The marginal-cost function is c'(x)= = dC(x)/dx

Where;

C(x) = 800 + √(400 + 10x² - x)

c'(x) = d(800 + √(400 + 10x² - x) )/dx

Using function of function rule of differentiation or chain rule;

c'(x) = (20x-1)×(1/2√(400 + 10x² - x))

c'(x) = (20x-1)/(2√(400 + 10x² - x))

The marginal-cost function is;

c'(x)= (20x-1)/(2√(400 + 10x² - x))

3 0
4 years ago
The formula for the volume V of a cylinder is LaTeX: V=\pi r^2hV = π r 2 h, where r is the radius of the base anThe formula for
Alekssandra [29.7K]

Answer:

h = \frac{V}{\pi r^2}

h = 4 cm

Step-by-step explanation:

Volume of cylinder is given as V = \pi r^2 h

V is the volume the cylinder, r is its radius at the base, while is its height.

To select the formula for h (height) let's make h the subject of the formula as follows:

V = \pi r^2 h

\frac{V}{\pi r^2} = \frac{\pi r^2 h}{\pi r^2} (dividing both sides of the equation by \pi r^2 )

\frac{V}{\pi r^2} = h

h = \frac{V}{\pi r^2}

Use the formula above to find the height of the given cylinder where Volume (V) = 36π cm³, and base radius (r) = 3 cm:

h = \frac{36 \pi}{\pi 3^2} (substitution)

h = \frac{36 \pi}{\pi * 9}

h = \frac{36 \pi}{9 \pi}

h = \frac{36 \pi}{\pi * 9}

h = \frac{36}{9} (\pi cancels \pi)

h = 4 cm

8 0
3 years ago
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