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xenn [34]
4 years ago
8

Consider the rational expression (IMAGE ATTACHED)

Mathematics
1 answer:
Keith_Richards [23]4 years ago
3 0

Answer:

  • 3x² is a term in the numerator
  • x + 1 is a common factor
  • The denominator has 3 terms

Step-by-step explanation:

You can identify terms and count them before you start factoring. Doing so will identify 3x² as a term in the numerator, and will show you there are 3 terms in the denominator.

When you factor the expression, you get ...

  \dfrac{3x^2-3}{3x^2+2x-1}=\dfrac{3(x^2-1)}{(3x-1)(x+1)}=\dfrac{3(x-1)(x+1)}{(3x-1)(x+1)}

This reveals a common factor of x+1.

So, the above three observations are true of this rational expression.

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1 question geometry :) thanks if you help
Inessa05 [86]

Step-by-step explanation:

II will be the 90° clockwise rotation,

III will be the translation

IV will be the 180° rotation

V will be the 90° counter clockwise rotation

3 0
3 years ago
Yeah so the picture explains it all
Vanyuwa [196]

Answer:

1/3

Step-by-step explanation:

4 0
3 years ago
Find the missing dimension use the scale factor 1:12 model 32 cm find the actual in m
gizmo_the_mogwai [7]

Given:

The scale factor is 1:12.

Dimension of model = 32 cm

To find:

The actual dimension in m.

Solution:

Let x be the actual dimension.

The scale factor is 1:12 and the dimension of model is 32 cm.

\dfrac{1}{12}=\dfrac{32}{x}

On cross multiplication, we get

x=32\times 12

x=384\ cm

x=3.84\ m             [\because 1\ m=100\ cm]

Therefore, the actual dimension is 3.84 m.

6 0
3 years ago
The Atlantic Salmon swim upstream at a steady rate of 2 miles every 3 minutes. Fill in the table to describe the relationship. R
Likurg_2 [28]

The distance traveled by the Salmon is proportional to the duration spent

swimming.

A table of the distance traveled by the Atlantic Salmon is presented as follows;

\begin{tabular}{|c|c|c}\underline{Time in minutes}&\underline{Miles Traveled  at 2/3 miles per minute } \\1&2/3  \\2&4/3\\3&2\\4&8/3\\5&10/3\\6&4\end{array}

Reasons:

The given parameter are;

The steady rate at which Atlantic Salmon swims = 2 miles in 3 minutes

Distance the Salmon swims, d ∝ Time taken, t

Therefore;

d = s·t

Where;

s = The constant of proportionality = The speed

Which gives;

\displaystyle s = \mathbf{\frac{Distance, \, d}{Time, \, t}}

The speed with which the Atlantic Salmon swims per minute is therefore;

\displaystyle The \ speed = \mathbf{\frac{2 \ miles}{3 \ minutes}} = \frac{2}{3} \ miles /minute

The distance travelled, <em>d</em>, is given as follows;

\displaystyle d = \mathbf{\frac{2}{3} \times t}

A table showing the distance travelled by the fish with time is presented as follows;

\begin{tabular}{|c|c|c|}\underline{Time, t, in minutes}&\underline{t \times d}&\underline{Miles Traveled, d,  at 2/3 miles per minute } \\1&1 \times 2/3 = 2/3&2/3  \\2&2 \times 2/3 = 4/3&4/3\\3&3 \times 2/3 = 2&2\\4&4 \times 2/3 = 8/3&8/3\\5&5 \times 2/3 = 10/3&10/3\\6&6 \times 2/3 = 4&4\end{array}

Learn more about constant of proportionality here:

brainly.com/question/11703625

8 0
3 years ago
If D varies directly as T and d=320 when T=8 find d when t=10
mart [117]

Answer:

400

Step-by-step explanation:

320 divide by 8 will find the unit rate and the unit rate is 40.

Now times 10

40 times 10 = 400

4 0
3 years ago
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