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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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3 years ago
Jonas and Linda's restaurant bill comes out to $23.40. They are planning to tip the waiter 15% of their bill. How much money sho
Temka [501]

Answer:

$3.51

Step-by-step explanation:

23.40 x 0.15 = 3.51

6 0
3 years ago
8x + 20y = 20<br> 14x + 35y = k<br> For the above system of equations to be consistent, k must equal
Goshia [24]

Answer:

  35

Step-by-step explanation:

The equations will be "consistent" when they describe lines that are not parallel.

<h3>Slopes</h3>

The slope of a line whose equation is written in this form is the opposite of the ratio of the y-coefficient to the x-coefficient:

  line 1 slope = -8/20 = -2/5

  line 2 slope = -14/35 = -2/5

These lines have the same slope, so will be parallel unless they have the same y-intercept.

<h3>Y-intercept</h3>

The y-intercept of each line is the ratio of the constant to the y-coefficient:

  line 1 y-intercept = 20/20 = 1

  line 2 y-intercept = k/35

We want these lines to have the same y-intercept so that they are not inconsistent. This requires ...

  k/35 = 1

  k = 35

For the equations to be consistent, we must have k = 35.

__

<em>Additional comment</em>

Linear equations are generally categorized as "consistent" or "inconsistent," and "dependent" or "independent."

Equations are "inconsistent" if there are no values of the variables that satisfy all of the equations. They are "dependent" if they describe exactly the same relation between the variables. "Consistent" equations may be "dependent" (describing the same line, as here), or "independent" (describing lines with different slopes.)

7 0
2 years ago
125m into mm (1m = 1000mm)<br> With complete process pls
tino4ka555 [31]

Answer:

125000mm

explanation

solution:

here,

1m=1000mm

now,

125m= 125×1000

= 125000

hence, 125m= 125000mm

6 0
2 years ago
Hello it's mathhhhhh
yaroslaw [1]

Answer:

36

Step-by-step explanation:

4*6=24

3*4=12

24+12=36

8 0
3 years ago
Read 2 more answers
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