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Stella [2.4K]
3 years ago
9

What is the correct answer to number 7? Please explain and break it down step by step.

Mathematics
1 answer:
a_sh-v [17]3 years ago
6 0

Answer:

The answer to your question is (x + 3)

Step-by-step explanation:

                    \frac{5x + 5}{x} \frac{x^{3}+ 3x^{2}}{x^{2} - 1} \frac{x - 1}{5x}

Factor the expression

                   \frac{5(x + 1)}{x} \frac{x^{2}(x + 3)}{(x - 1)(x + 1)} \frac{x - 1}{5x}

Simplify

Cancel 5 because is in both numerator and denominator                  

Cancel (x + 1) because is in both numerator and denominator                  

Cancel (x - 1) because is in both numerator and denominator                  

Cancel x² because is in both numerator and denominator              

   

After simplifying, the result is  (x + 3)

You might be interested in
8. There are 10 balls in a bag numbered from 1 to 10. Three balls are selected at random without replacement.
PIT_PIT [208]

Answer:

a. 720

b. 0.3

Step-by-step explanation:

a.

Three balls are selected at random without replacement.

First ball can be selected in 10 ways

Second ball can be selected in 9 ways

Third ball can be selected in 8 ways

Thus, there are 10×9×8 =720 different ways of selecting three balls.

b.

There are three cases that satisfy this condition

  1. first ball picked is 5, the others are not
  2. first ball is not 5, second is 5, third is not
  3. first and second ball is not five, third ball is 5

Each probabilities are:

  1. \frac{1}{10} * \frac{9}{9} *\frac{8}{8} =\frac{1}{10}
  2. \frac{9}{10} *\frac{1}{9} *\frac{8}{8} =\frac{1}{10}
  3. \frac{9}{10} *\frac{8}{9} *\frac{1}{8} =\frac{1}{10}

Thus, one of the balls selected is the number 5 is then \frac{1}{10} + \frac{1}{10} + \frac{1}{10} = \frac{3}{10}

5 0
3 years ago
I really need help with b I have already done a
marishachu [46]

Answer:

Step-by-step explanation:

In the first pattern, there were 6 sticks

In the second pattern, there were 10 sticks.

In the third pattern, there were 14 sticks.

Based on the pattern, we see that each time, 4 more sticks are added and that the initial amount of stick is 6.

Thus: the equation for how many sticks there would be in pattern n is:

# of sticks in pattern n = 6 + 4n

Hope that helps!

3 0
2 years ago
A cone with radius 333 units is shown below. Its volume is 575757 cubic units. Find the height of the cone. Use 3.143.143, point
STatiana [176]

Answer: 6.05 units

Step-by-step explanation:

<em>Correct question is:</em>

<em>A cone with radius 3 units is shown below. Its volume is 57 cubic units. Find the height of the cone. Use 3.14 for pi and round your final answer to the nearest hundredth.</em>

Hi, to answer this question we have to apply the next formula:

Volume of a cone = 1/3 x π x radius^2 x height

Replacing with the values given:

57 = 1/3x  3.14 x (3)^2 (h)

Solving for h

57 = 1/3 x 3.14 x  9 (h)

57 =9.42h

57/9.42 =h

h= 6.05 units

Feel free to ask for more if needed or if you did not understand something.  

7 0
3 years ago
What are the answers??????????????????????????????????
Anastaziya [24]
Answer:

A) 4

B) 13

C)17

D)34
7 0
1 year ago
No solution, one solution, or infinite solutions
aliina [53]
GOD IS GREAT SPREAD THE WORD
4 0
3 years ago
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