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RSB [31]
2 years ago
13

Tyler simplified the expression x³y9. His procedure is shown below.

Mathematics
1 answer:
V125BC [204]2 years ago
5 0

Answer:

  (b) both powers should be in the denominator with positive exponents

Step-by-step explanation:

The applicable rule of exponents is ...

  a^-b = 1/a^b

__

The correct simplification is ...

  x^{-3}y^{-9}=\dfrac{1}{x^3}\cdot\dfrac{1}{y^9}=\boxed{\dfrac{1}{x^3y^9}}

Both variables should have positive exponents in the denominator.

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Determine the intercepts of the line.
kifflom [539]

Answer:

x-intercept: (3, 0)

y-intercept: (0, -10)

Step-by-step explanation:

<u>X-intercept:</u>

We can see that the line crosses the x-axis at the 3. Let's imagine that this automatically makes a point. If the point is directly on the line, that means that the opposite coordinate (in this case, the y-coordinate) will be 0. This is because the point is directly at the 0 on the y-axis; it doesn't go up nor down.

<u>Y-intercept:</u>

The same goes for the opposite coordinate: if we picture a point at where the line intercepts the y-axis, there will be a point at -10 on the y-axis. Since the point is directly at 0 on the x-axis (meaning that it doesn't go left nor right) we know that the x-coordinate will be 0.

6 0
3 years ago
$1.08 as a decimal and fraction<br>​
Ugo [173]

Answer:

as a fraction?

27/25

or

1 2/25

Step-by-step explanation:

5 0
3 years ago
Write a numerical expression that represents the number of increments it will take Ashley to reach -60 feet.
tatyana61 [14]

Answer:

-60 divided by -10

4 0
3 years ago
Which of the following relations is not a function?
IgorLugansk [536]
{(-1,3), (4,2), (-1,5)}

The same inputs should have the same output, but different inputs are allowed to have the same output.
I hope this helped!
7 0
3 years ago
Please Help! In dire need~!
timama [110]

Answer: The solution is 3\frac{1}{3}

Step-by-step explanation:

since we have given that

\frac{2}{3}\div \frac{1}{5}

we need to solve it using area models:

As we know that "In fractions, division is changed into multiplication by reciprocating the next term to make it possible to solve":

So, It turns into model of area "Area of rectangle "

Area=Length\times Breadth\\\\Area=\frac{2}{3}\times \frac{5}{1}\\\\Area=\frac{10}{3}=3\frac{1}{3}

Now, verifying by using numerical operations only.

\frac{\frac{2}{3}}{\frac{1}{5}}\\\\=\frac{2\times 5}{3\times 1}\\\\=\frac{10}{3}\\\\=3\frac{1}{3}

Hence, verified.

7 0
4 years ago
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