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2 years ago

½ (6x + 8) = 2x + 4 + x

Mathematics

2 answers:

Zarrin [17]2 years ago

6 0

Answer:

all real numbers

Step-by-step explanation:

1/2(6x + 8) = 2x + 4 + x

1/2 * 6x + 1/2 * 8 = 2x + 4 + x

3x + 4 = 2x + 4 + x

3x + 4 = 3x + 4

4 = 4

0 = 0

the answer is all real numbers because 0 will always equal 0

bearhunter [10]2 years ago

5 0

Answer:

True

Step-by-step explanation:

Both sides (right side and left side) of the equation are indeed equal.

I hope this helps!

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liq [111]

I'm pretty sure it's 5 over 10! Hope I helped =)

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2 years ago

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Answer:

Step-by-step explanation:

The side with 4 cubes has a length of 2, the side with 2 cubes has a length of 1, and the side with 5 cubes has a length of 2.5.

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2 years ago

Help with Pre Calculus

marshall27 [118]

Answer:

The first option

Step-by-step explanation:

The domain of a rational function should be all real numbers except for when the denominator is equal to 0. To find when the denominator is equal to 0 you simply need to find the zeroes of the denominator... but in this case you can do that through factoring and using the quadratic equation.

So first step is going to be to factor out the GCF, which in this case is x. This gives you the equation. $x(2x^2-x-15)$ . So one of the zeroes is when x=0. Now to find the other two zeroes you can use the quadratic equation which is $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\$ . So to find the other zeroes you simply plug the values in. a=2, b=-1, c=-15

$x=\frac{-(-1)\pm\sqrt{(-1)^2-4(2)(-15)}}{2(2)}\\\\x=\frac{1\pm\sqrt{1-4(2)(-15)}}{4}\\\\x=\frac{1\pm\sqrt{121)}}{4}\\\\x=\frac{1\pm11}{4}\\\\x=\frac{12}{4}\\x=3\\\\x=\frac{-10}{4}\\x=-\frac{5}{2}$

4 0

2 years ago

Solve x'=5t(sqrt(x)) x(0)=1

LekaFEV [45]

Answer:

$2\sqrt{x}=\frac{5t^2}{2}+2$

Step-by-step explanation:

Given: $\frac{\mathrm{d} x}{\mathrm{d} t}=5t\sqrt{x}\,,\, x(0)=1$

Solution:

A differential equation is said to be separable if it can be written separately as functions of two variables.

Given equation is separable.

We can write this equation as follows:

$\frac{dx}{\sqrt{x}}=5t\,dt$

On integrating both sides, we get

$\int \frac{dx}{\sqrt{x}}=\int 5t\,dt$

Formulae Used:

$\int \frac{1}{\sqrt{x}}=2\sqrt{x}\,\,,\,\,\int t\,dt=\frac{t^2}{2}$

So, we get solution as $2\sqrt{x}=\frac{5t^2}{2}+C$

Applying condition: x(0) = 1, we get $C=2$

Therefore, $2\sqrt{x}=\frac{5t^2}{2}+2$

8 0

2 years ago

Express the number as a ratio of integers.<br> 0.39 = 0.39393939

Xelga [282]

◆ NUMBER SYSTEMS ◆

Let 0.393939... = x
Or , x = 0.393939... ---eq.(1)

Multiplying both sides by 100

We get ,
_____ 100x = 39.393939... --- eq.(2)

Subtracting eq.(1) from eq.(2)

We get ,
100x-x = 39.393939... - 0.393939...
_____ 99x = 39

_____ $x = \frac{39}{99} \\ \\ x = \frac{13}{33} \: \: \: \: \: \: \: \: \: \: \: Ans.$

3 0

3 years ago