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3 years ago

Which choice is the appropriate simplified form and restriction for the variable? 3x^2+9x over x^2-2x-15

2 answers:

7 0

(3x^2 + 9x) / ( x^2 -2x -15)

Factor both polynomials

(3x)(x+3) / (x-5)(x+3) = 3x/(x+5)

The simplified form is 3x/(x+5)

The restriction for the variable is x ≠ -3 (this is because you can only simplify the factor x-3 if its value is not zero).

crimeas [40]3 years ago

3 0

If you would like to know what is the appropriate simplified form and restriction for the variable, you can calculate this using the following steps:

(3x^2 + 9x) / ( x^2 - 2x - 15) = (3x * (x + 3)) / ((x - 5) * (x + 3)) = 3x / (x - 5)

The simplified form is 3x / (x - 5) and the restriction for the variable would be x <span>≠</span> 5 and x ≠ -3.

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These box plots show daily low temperatures for a sample of days in two

lara [203]

Answer:

Step-by-step explanation:

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3 years ago

Answer plz it’s impirtanttttt

Vinvika [58]

Part a) In 35 minutes, 25 number of pages have been read.

Part b) There is positive association between time and the number of pages being read

Step-by-step explanation:

Part a) What is the meaning of the point (35,25)

35 is the value of x-axis and 25 is the value of y-axis

x-axis represent Time(minute) while y-axis represent Number of pages read

So, in 35 minutes, 25 number of pages have been read.

Part b) Is the association between time and number of pages positive or negative? state the association in terms of variables.

Association is positive if increasing one variable, other variable is also increasing.

Association is negative if increasing one variable, other variable is decreasing.

In the given graph, the association is positive. Increasing the time, the number of pages being read are also increasing.

if time is 20 minutes, number of pages read are 12.5. if time is 25 minutes then number of pages read are 17

So, there is positive association between time and the number of pages being read.

Keywords: Association between variables

Learn more about Association between variables at:

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3 0

3 years ago

April took out a $600 loan from the bank . At the end of 5 years , she. Pays back the principal plus $60 simple instrest what wa

VLD [36.1K]

Answer: 12

Step-by-step explanation: you would divide the interest by the amount of time. 60/5

4 0

3 years ago

4 < x < 7<br> Please give me a proper explanation.

sesenic [268]

An explanation for 4 < x < 7 is that 4 is less than and x is less than 7.

<h3>How to explain the information?</h3>

The mathematical expression that is given is 4 < x < 7. It should be noted that this implies that 4 is less than and x is less than 7.

In this case, the appropriate values that can fit x in this situation will be 5 and 6.

Learn more about less than on:

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2 years ago

In the Cash Now lottery game there are 8 finalists who submitted entry tickets on time. From these 8 tickets, three grand prize

alexgriva [62]

Answer:

The number of ways is $\left n} \atop {}} \right. P_r = 336$

Step-by-step explanation:

From the question we are told that

The number of tickets are $n = 8$

The number of finalist are $r =3$

Generally the number of way by which this winners can be drawn and arrange in the order of $1^{st} , \ 2nd , \ 3rd$ is mathematically represented as

$\left n} \atop {}} \right. P_r = \frac{n\ !}{(n-r) !}$

substituting values

$\left n} \atop {}} \right. P_r = \frac{ 8!}{(8-3) !}$

$\left n} \atop {}} \right. P_r = \frac{ 8* 7*6*5*4*3*2*1}{ 5*4*3*2*1}$

$\left n} \atop {}} \right. P_r = 336$

3 0

3 years ago