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iren [92.7K]
3 years ago
7

Make x the subject: a(x-b) = x

Mathematics
1 answer:
umka21 [38]3 years ago
5 0

Answer:

x = \frac{ab}{a-1}

Step-by-step explanation:

Given

a(x - b) = x ← distribute parenthesis on left side

ax - ab = x ( subtract x from both sides )

ax - x - ab = 0 ( add ab to both sides )

ax - x = ab ← factor out x from each term on the left side

x(a - 1) = ab ← divide both sides by a - 1

x = \frac{ab}{a-1}

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How to combine like terms
aev [14]

Example: 1x+2y+3z+4a+5x+6y+7z+8+9

We can see that there is more than one number with the variable x, therefore, we say they're ''like terms'' and because of that they can be summed. We do this with all of the other numbers with similar variables. If no numbers with similar variables are left, like 4a, you don't do anything but write them as they are. You can also see that 8 and 9 can also be summed because neither of them has a variable, therefore they're similar.

In this step, you just do the operation with the numbers and keep the same variable.

(1x+5x)+(2y+6y)+(3z+7z)+4a+(8+9)

(6x)+(8y)+(10z)+4a+(17)

since there are not more numbers similar in variables, this operation is done.

6x+8y+10z+4a+17

8 0
3 years ago
Hey guys I need your help on this!!
kogti [31]

Answer:

Domain: (-∞, ∞) or All Real Numbers

Range: (0, ∞)

Asymptote: y = 0

As x ⇒ -∞, f(x) ⇒ 0

As x ⇒ ∞, f(x) ⇒ ∞

Step-by-step explanation:

The domain is talking about the x values, so where is x defined on this graph? That would be from -∞ to ∞, since the graph goes infinitely in both directions.

The range is from 0 to ∞. This where all values of y are defined.

An asymptote is where the graph cannot cross a certain point/invisible line. A y = 0, this is the case because it is infinitely approaching zero, without actually crossing. At first, I thought that x = 2 would also be an asymptote, but it is not, since it is at more of an angle, and if you graphed it further, you could see that it passes through 2.

The last two questions are somewhat easy. It is basically combining the domain and range. However, I like to label the graph the picture attached to help even more.

As x ⇒ -∞, f(x) ⇒ 0

As x ⇒ ∞, f(x) ⇒ ∞

7 0
3 years ago
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erastovalidia [21]
600 x 40 I think the new dimetions will be
3 0
3 years ago
(4y + 2.8)(1.6) how to simplify the problem<br>​
anastassius [24]

Answer:

6.4y+4.48 Is the answer

5 0
3 years ago
ferdie plants carrots in 2 gardens. in each garden, he plants 3 rows of 7 carrots.what is the total number of carrots ferdie pla
julsineya [31]

Answer:

He planted a total of 42 carrots between the 2 gardens

Step-by-step explanation:

3 x 7 = 21

21 x 2 = 42

8 0
3 years ago
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