What is the least common denominator of the equation StartFraction 2 Over 9 EndFraction x + two-thirds x = 7?

Graph the equation 6x - y=-1

weqwewe [10]

Answer:

$- \frac{146}{5}$

that the answer

3 0

3 years ago

N is a positive integer

Murrr4er [49]

Part (1)

n is some positive integer. Let's say for now that n is even. So n = 2k, for some integer k

This means n-1 = 2k-1 is odd since subtracting 1 from an even number leads to an odd number.

Now multiply n with n-1 to get

n(n-1) = 2k(2k-1) = 2m

where m = k(2k-1) is an integer

The result 2m is even showing that n(n-1) is even

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Let's say that n is odd this time. That means n = 2k+1 for some integer k

And also n-1 = 2k+1-1 = 2k showing n-1 is even

Now multiply n and n-1

n(n-1) = (2k+1)(2k) = 2k(2k+1) = 2m

where m = k(2k+1) is an integer

We've shown that n(n-1) is even here as well.

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So overall, n(n-1) is even regardless if n is even or if n is odd.

Either n or n-1 will be even. If you multiply an even number with any number, the result will be even.

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Part (2)

n is some positive integer

2n is always even since 2 is a factor of 2n

2n+1 is always odd because we're adding 1 to an even number. The sequence of integers goes even,odd,even,odd, etc and it does this forever.

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Another way to see how 2n+1 is odd is to divide 2n+1 over 2 and you'll find that we get (2n+1)/2 = 2n/2+1/2 = n+0.5

The 0.5 at the end is not an integer, so there's no way that (2n+1)/2 is an integer; therefore 2n+1 is odd.

6 0

3 years ago

Find the value of x in this proportion. (x+3) O 27/4 018 Ö9/8 © 9/2

ioda

I don’t know the answer sorry

5 0

3 years ago

Evaluate the expressions 3x-2 and 4x+4 for the following value of x.

kirill [66]

Question:

Evaluate the expressions 3x - 2 and 4x + 4 for the following values of x. When you have found the value for each expression, write a statement using <, >, or = that shows how the two values are related. a. x = 0 b. x = -6 c. x = 5 d. x = -2

Answer:

Part a: $4x+4>3x-2$

Part b: $4x+4=3x-2$

Part c: $4x+4>3x-2$

Part d: $4x+4>3x-2$

Explanation:

Part a: Substituting $x=0$ , we get,

$\begin{aligned}3 x-2 &=3(0)-2 \\&=-2\end{aligned}$

$\begin{aligned}4 x+4 &=4(0)+4 \\&=4\end{aligned}$

The value of $3x-2$ is less than $4x+4$

Thus, $4x+4>3x-2$

Part b: Substituting $x=-6$ , we get,

$\begin{aligned}3 x-2 &=3(-6)-2 \\&=-18-2 \\&=-20\end{aligned}$

$\begin{aligned}4 x+4 &=4(-6)+4 \\&=-24+4 \\&=-20\end{aligned}$

The value of $3x-2$ and $4x+4$ are equal.

Thus, $4x+4=3x-2$

Part c: Substituting $x=5$ , we get,

$\begin{aligned}3 x-2 &=3(5)-2 \\&=15-2 \\&=13\end{aligned}$

$\begin{aligned}4 x+4 &=4(5)+4 \\&=20+4 \\&=24\end{aligned}$

The value of $3x-2$ is less than $4x+4$

Thus, $4x+4>3x-2$

Part d: Substituting $x=-2$ , we get,

$\begin{aligned}3 x-2 &=3(-2)-2 \\&=-6-2 \\&=-8\end{aligned}$

$\begin{aligned}4 x+4 &=4(-2)+4 \\&=-8+4 \\&=-4\end{aligned}$

The value of $3x-2$ is less than $4x+4$

Thus, $4x+4>3x-2$

4 0

3 years ago

Which equation has a constant of proportionality equal to 0.25

laila [671]

Answer: y = 1/4x

Step-by-step explanation:

If the constant of proportionality is K, then:

y = kr

In which equation do we multiply x by 0.25 to get y?

1/4 = 0.25

5 0

3 years ago