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3 years ago

What is 8x - 6 - 7x + 10

Mathematics

2 answers:

photoshop1234 [79]3 years ago

8 0

Simplifying

8x + -6 = 7x + 10

Reorder the terms:

-6 + 8x = 7x + 10

Reorder the terms:

-6 + 8x = 10 + 7x

Solving

-6 + 8x = 10 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.

-6 + 8x + -7x = 10 + 7x + -7x

Combine like terms: 8x + -7x = 1x

-6 + 1x = 10 + 7x + -7x

Combine like terms: 7x + -7x = 0

-6 + 1x = 10 + 0

-6 + 1x = 10

Add '6' to each side of the equation.

-6 + 6 + 1x = 10 + 6

Combine like terms: -6 + 6 = 0

0 + 1x = 10 + 6

1x = 10 + 6

Combine like terms: 10 + 6 = 16

1x = 16

Divide each side by '1'.

x = 16

Simplifying

x = 16

HOPE I HELPED!!! :)

Vaselesa [24]3 years ago

8 0

X+4 , you would combined all the like terms 8x-7x= x
-6+10=4
x+4

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Answer:

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Step-by-step explanation:

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2 years ago

How is an equation like an expression? How is it different?

morpeh [17]

Answer:

See explanation.

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2 years ago

A boy kicks a 0.445 kg soccer ball with a force of 75 Newtons. What is the acceleration of the soccer ball?

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2 years ago

Read 2 more answers

n many population growth problems, there is an upper limit beyond which the population cannot grow. Many scientists agree that t

givi [52]

Answer:

$\frac{dP}{dt} = rP(1 - \frac{P}{K}) = 0.017P(1 - \frac{P}{16})$

Step-by-step explanation:

The logistic function of population growth, that is, the solution of the differential equation is as follows:

$P(t) = \frac{KP_{0}e^{rt}}{K + P_{0}(e^{rt} - 1)}$

We use this equation to find the value of r.

In this problem, we have that:

$K = 16, P_{0} = 2, P(50) = 4$

So we find the value of r.

$P(t) = \frac{KP_{0}e^{rt}}{K + P_{0}(e^{rt} - 1)}$

$4 = \frac{16*2e^{50r}}{16 + 2*(e^{50r} - 1)}$

$4 = \frac{32e^{50r}}{14 + 2e^{50r}}$

$56 + 8e^{50r} = 32e^{50r}}$

$24e^{50r} = 56$

$e^{50r} = 2.33$

Applying ln to both sides of the equality

$50r = 0.8459$

$r = 0.017$

The differential equation is

$\frac{dP}{dt} = rP(1 - \frac{P}{K}) = 0.017P(1 - \frac{P}{16})$

3 0

3 years ago