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3 years ago

Simplify the expression by combining like terms: x + 7x

Mathematics

2 answers:

Aneli [31]3 years ago

6 0

Answer:

Like terms means that the numbers have the same variable after them or they don't have a variable at all. It is also important to remember that any letter that doesn't have a number in front of it technically has a 1 in front of it.

For example, x + 3x = 1x +3x. Then I add the numbers in the front and I get 4x.

If it had been 4x + 7x + 3, my answer would have been 11x +3. That's because there were a total of 11 x, but the 3 ones weren't x's so I just leave them alone.

Step-by-step explanation:

alexira [117]3 years ago

5 0

Answer:

$8x$

Step-by-step explanation:

$x+7x$

$8x$

The answer is $8x$ when you simplify because you are adding another $x$ to $7x$ so it becomes $8x$

Hope this is helpful

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Answer: am not 100% sure but shouldn't it be all if them?

Step-by-step explanation:

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3 years ago

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The common ratio in a geometric series is 0.5 and the first term is 256. Find the sum of the first 6 terms in the series

Svetach [21]

Answer:

The sum of the first 6 terms of the series is 504.

Step-by-step explanation:

Given that,

Common ratio in a geometric series is, r = 0.5

First term of the series, a = 256

We need to find the sum of the first 6 terms in the series. If a and r area the first term and common ratio of a series, then the series becomes:

$a,ar^1,ar^2,ar^3......$

The sum of n terms of a GP is given by :

$S_n=\dfrac{a(1-r^n)}{1-r}$

Here, n = 6

$S_n=\dfrac{256\times (1-(0.5)^6)}{1-0.5}\\\\S_n=504$

So, the sum of the first 6 terms of the series is 504.

4 0

3 years ago

The mapping diagram shows a functional relationship

Gre4nikov [31]

Answer:

$f(4)=\frac{1}{2}$

f(x) = 4 when x is 8

Step-by-step explanation:

Domain is the set of x values that make the function defined. Allowed x values for the function (mapping).

The Range is the set of y values that make the function defined. Allowed y values for the function (mapping).

Whenever we need to find f(a), suppose, then we look for "a" in the domain and see its corresponding value mapping in the range.
Whenever we will be given a value for f(x) = a, suppose, and we have to find "x", we look at the value a in the range and find corresponding x value in the domain.

Firstly, we need f(4), so we look for "4" in domain and see which number it corresponds to in range.

That is $\frac{1}{2}$