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Lady_Fox [76]
2 years ago
9

Simplify a^2-3a2 a^3-8a^2+12a to lowest terms

Mathematics
1 answer:
inn [45]2 years ago
6 0

Answer:

\frac{a-3}{(a-2)(a-6)}

Step-by-step explanation:

a^{2}-3a has the common multiple of a. If you factor it out, you get a(a-3).

a^3-8a^2+12a also has a common multiple of a. Once factored, you get a(a^2-8a+12). This equation can be further factored to get (a-2)(a-6).

Put these two expressions over one another and you get  \frac{a-3}{(a-2)(a-6)}.

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Evaluate the expression <br> 3p – 2q + 6 when p = 8 and q = -2
Yuliya22 [10]

Answer:

34

Step-by-step explanation:

substitute

3(8)-2(-2)+6

dsitribute

24+4+6

add

34

3 0
3 years ago
What's the answer to this?
beks73 [17]

Answer:

<em>Q'</em> = (-4, -2)

<em>R' </em>= (4, -2)

<em>S'</em> = (4, 2)

<em>T'</em> = (-4, 2)

Step-by-step explanation:

First, we can create a matrix to scale this rectangle by putting all the x coordinates in the top row and all the y coordinates in the bottom row and multiply it by 4.

Our initial matrix to multiply:

4\left[\begin{array}{cccc}-1&1&1&-1\\-2&-2&-1&-1\end{array}\right]

Moved to the origin:

4\left[\begin{array}{cccc}-1&1&1&-1\\-0.5&-0.5&0.5&0.5\end{array}\right]

Multiplied by four:

\left[\begin{array}{cccc}-4&4&4&-4\\-2&-2&2&2\end{array}\right]

This gives us the points of

<em>Q'</em> = (-4, -2)

<em>R' </em>= (4, -2)

<em>S'</em> = (4, 2)

<em>T'</em> = (-4, 2)

which are our answers.

3 0
2 years ago
The two trapezoids in the graph below are similar. Which sequence of transformations proves that the trapezoids are similar?
Hoochie [10]
The answer is B.


Hopes this helps!! :')
3 0
3 years ago
Read 2 more answers
A collection of 19 coins consisting of nickels and dimes is worth $1.35. How many dimes are there
pshichka [43]

Answer:

There are 8 dimes there.

Step-by-step explanation:

This question is solved used a system of equations.

I am going to say that:

x is the number of nickels.

y is the number of dimes.

19 coins

This means that x + y = 19.

A nickel is worth $0.05. A dime is worth $0.1. The total of these coins is $1.35. So

0.05x + 0.1y = 1.35

How many dimes are there?

We have to find y.

From the first equation: x = 19 - y.

Replacing in the second:

0.05(19 - y) + 0.1y = 1.35

0.95 - 0.05y + 0.1y = 1.35

0.05y = 0.4

y = 0.4/0.05

y = 8

There are 8 dimes there.

3 0
3 years ago
-8y + 5y = 13 <br> -2x + 8y = 10 <br><br> Find answer using subsititon method
Scrat [10]

Answer:

(-67/3, -13/3)

Step-by-step explanation:

3 0
3 years ago
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