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Brut [27]
3 years ago
6

Which of the following is the quotient of the rational expression shown below

Mathematics
1 answer:
tatyana61 [14]3 years ago
3 0

Answer:

B

Step-by-step explanation:

None of the expressions on the numerators/ denominators factor

To divide the 2 rational expressions

leave the first fraction

Change division to multiplication

Turn the second fraction upside down, that is

\frac{2x}{4x+3} × \frac{2x}{x-1}

Multiply the values on the numerators/ denominators, that is

\frac{2x(2x)}{(4x+3)(x-1)}

= \frac{4x^2}{4x^2-x-3} → B

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How wide is the hole at ground level on the drawing
Bumek [7]

Answer:

It’s going by 2

Step-by-step explanation:

If you go up it goes to negative and if you go down it goes to positive

7 0
3 years ago
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Estimate the product. Then find the exact product.
Assoli18 [71]

Answer:

7.97

Step-by-step explanation:

hope this helps

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4 0
3 years ago
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Find the direct variation equation
joja [24]

Answers:

  • The direct variation equation is y = 5x
  • If x = 4, then y = 20

=================================================

Explanation:

Let's say that the letter k replaces the green box

We have the equation y = kx

Plug in (x,y) = (7,35) to get the equation 35 = k*7

Dividing both sides by 7 leads to k = 5

Therefore, the direct variation equation is y = 5x

We can check this by plugging in x = 7

y = 5x

y = 5*7

y = 35

So x = 7 leads to y = 35 as expected.

-------------

Do the same for x = 4

y = 5x

y = 5*4

y = 20 when x = 4

Side note: direct variation equations always go through the origin.

6 0
2 years ago
Read 2 more answers
Item 4 Find the median, first quartile, third quartile, and interquartile range of the data. 132,127,106,140,158,135,129,138 med
Ket [755]

Answer:

133.5, 127.5, 139.5, 12

Step-by-step explanation:

order data:

106, 127, 129, 132, 135, 138, 140, 158

Median:

The middle number: (8+1)/2 = 4.5 between the 4&5 numbers

= (135-132)/2= 1.5

1.5 + 132 = 133.5

lower quartile (1st quartile):

(8+1)/4 = 2.25 between the 2&3 numbers

(129+127)/4=0.5

0.5+127 = 127.5

upper quartile(3rd quartile):

(8+1)/4 x3 = 6.75 between the 6&7 numbers

(140-138)/4 x3 = 1.5

1.5 + 138 =139.5

Interquartile range:

139.5-127.5= 12

hope this helps

4 0
3 years ago
Show work ASAP!! Please
zepelin [54]

9514 1404 393

Answer:

  a) x = -1, x = 4

  b) y = x^2 -3x -4

Step-by-step explanation:

a) We observe the x-intercepts are x = -1 and x = 4. These are the solutions to y = 0, which is usually what we want in cases like this.

The solutions are x=-1 and x=4.

__

b) We know two of the factors are (x +1) and (x -4). There may be an additional constant factor for vertical scaling. One point we can check is the y-intercept.

  y = a(x +1)(x -4)

For x=0, this is ...

  y = a(1)(-4) = -4a

The y-intercept is y = -4, so we have a=1.

The factored equation is ...

  y = (x +1)(x -4)

Multiplying this out gives the equation in standard form:

  y = x^2 -3x -4

__

<em>Additional comment</em>

Your teacher may want the standard form equation to be ...

  x^2 -3x -4 = 0

This is the equation of two specific points: x=-1 and x=4. It is not the equation of the graph.

8 0
3 years ago
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