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4 years ago

What is the solution to the equation:

Mathematics

1 answer:

Setler [38]4 years ago

7 0

The solution to the equation is “ x = -4”.

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Simplifying Variable Expression

andrew-mc [135]

X + 3 • ( 10 + y ) - 7x - 4
x + 30 + 3y - 7x - y
x - 7x + 3y - y + 30
-6x + 2y + 30

7 0

3 years ago

A tank can be filled by one pipe in four hours and by a second pipe in six hours; and when it is full, the tank can be drained b

just olya [345]

12 hours..........
+ - = 1
Multiply by 12 to clear the fractions
3t + 2t - 4t = 12
t = 12 hrs to fill the pool

3 0

3 years ago

Read 2 more answers

A town's population has been growing linearly since 2000. In 2003 the population was 70100. In

I am Lyosha [343]

The town's population in 2008 is 78,600.

<h3>What is the population in 2008?</h3>

If the town's population is increasing linearly, it means that it increases by a constant number each year.

Linear equations have this form: a + bt

Where:

a = initial value
b = rate of increase
t = number of y ears

The rate of linear increase = (population in 2006 - population in 2003) / (2006 - 2003)

(75,200 - 70,100) / 3

5100 / 3 = 1700

P(t) = 70,100 + 1700t

Population in 2008 = 70,100 + 1700(2008 - 2003)

70,100 + 1700(5)

70,100 + 8,500 = 78,600

To learn more about linear functions, please check: brainly.com/question/26434260

#SPJ1

5 0

2 years ago

The graph of F(x) shown below resembles the graph of G(x)= x4, but it has

Gemiola [76]

Answer:

x = 0.

Equation:

$g*(x)-(x^4)=0$

Step-by-step explanation:

Step 1:

Pull out like factors:
$gx - x^4 = x * (g - x^3)$

Trying to factor as a Difference of Cubes:

Factoring: $g - x^3$
Theory : A difference of two perfect cubes, a^3 - b^3 can be factored into
(a-b) • (a^2 +ab +b^2)
Proof : (a-b)•(a^2+ab+b^2) =
a^3+a^2b+ab^2-ba^2-b^2a-b^3 =
a^3+(a^2b-ba^2)+(ab^2-b^2a)-b^3 =
a^3+0+0-b^3 =
a^3-b^3
Check : g^1 is not a cube !!
Ruling : Binomial cannot be factored as the difference of two perfect cubes

Equation at end of step 1:

$x * (g - x^3) = 0$

Step 2:

A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

Solve $g - x^3 = 0$
In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.
We shall not handle this type of equations at this time.

Solution:

x=0.

3 0

3 years ago

Why do car manufacturers offer dealer incentives?

zhenek [66]

The main motive behind dealer incentives is to give the dealers a low price for stocking the companies products. The company that gives the biggest dealer incentive will attract more dealers to actively sell the product of that company. It can be seen in case of cars, the incentives given by the manufacturers to their dealers for stocking the cars.

8 0

3 years ago