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Sloan [31]
3 years ago
15

Let p=x^2-2 which equation is equivalent to (x^2-2)^2+18=9x^2-18 in terms of p

Mathematics
1 answer:
Bad White [126]3 years ago
6 0

Answer:

The equivalent equation is p^2 + 18 = 9p

Step-by-step explanation:

p is given by the following relation:

p = x^2 - 2

And we are given the following equation:

(x^2 - 2)^2 + 18 = 9x^2 - 18

On the right side, we can simplify. So

(x^2 - 2)^2 + 18 = 9(x^2 - 2)

Replacing x^2 - 2 by p, the equation is:

p^2 + 18 = 9p

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There are 40 girls and 60 boys in the math club the coach wants to divide the entire club into teams where each team has the sam
lapo4ka [179]
40 and 60
40 = 20 x 2
60 = 20 x 3

GCF = 20

<span>the greatest number of teams coach can make is 20
each team can have 2 girls and 3 boys</span>
6 0
3 years ago
The revenue of a company that makes backpacks is given by the formula R = 34.S0x, where x represents the number of backpacks sol
alexgriva [62]

Answer:

Revenue = 1380

Step-by-step explanation:

Given:

Revenue means the sales or turnover of a company when it sells its products. In other words, it is nothing but the income of a company on selling the products.

Here, the company is selling backpacks. So, revenue is the amount earned by the company on selling 'x' backpacks. The linear model to represent the same is given below.

The revenue received from selling 'x' backpacks is given as:

R=34.50x

Number of backpacks sold (x) = 40

Now, in order to find the revenue received on selling 40 backpacks, we need to plug in 40 for 'x' in the equation above and solve for the revenue, 'R'.

On plugging 40 for 'x', we get:

R=34.50\times 40\\\\R=1380

Therefore, the revenue received by the company on selling 40 backpacks is 1380.

8 0
4 years ago
It cost Joseph $20.10 to send 134 text messages. How much does it cost to send one text message? Show your work.
Licemer1 [7]
$20.10/134
$0.15 cost for one message
8 0
3 years ago
a gymnasium is 88 feet long and 76 wide on a blueprint the gymnasium is 5.5 inches long what is the width of the gymnasium on th
attashe74 [19]

First we would need to find the portion of the gymnasium to the blueprint to do that please do this:

88/5.5 = 16

The length divided by the blueprint's length

Since we know that the gymnasium is 16 times the blueprint, to find the width divide 16 to 76:

76/16 = 4.75

The width divided by the 16 times

The width of the blueprint is 4.75 inches

6 0
3 years ago
Read 2 more answers
Indicate whether the following analysis involves a statistical test. If it does involve a statistical test, state the population
Pie

Answer:

a

Yes it  involves a statistical test

The population parameter(s) of interest is  

   The sample size is  n =  100

    The average reaction time of the right hands for the right-handed participants  \mu_R

    The average reaction time of the left hands for the left-handed participants   \mu_L

The null hypothesis is  H_o :  \mu_R = \mu_L,

The alternative hypothesis is H_a: \mu_R < \mu_L

b

Yes it  involves a statistical test

The population parameter(s) of interest is  

   The sample size is  n =  100

    The average reaction time of the right hands for the right-handed participants  \mu_R

    The average reaction time of the left hands for the left-handed participants   \mu_L

The null hypothesis is  H_o :  \mu_R = \mu_L,

The alternative hypothesis is H_a: \mu_R < \mu_L

c

Yes it  involves a statistical test

The population parameter(s) of interest is  

The percentage of people in the community living in a mobile home is denoted with  p

The sample size is  n =  1000

The null hypothesis is  H_o :  p =10\% = 0.01,

The alternative hypothesis is H_a: p >10\% =  0.01

Step-by-step explanation:

Considering the first statement

Testing 100 right-handed participants on the reaction time of their left and right hands to determine if there is evidence for the claim that the right hand reacts faster than the left.

Yes, the analysis does involve a statistical test.

The null hypothesis is  H_o :  \mu_R = \mu_L,

The alternative hypothesis is H_a: \mu_R < \mu_L

Here \mu_R is the average reaction time of the right hands for the right-handed participants

and  \mu_L is the average reaction time of the left hands for the left-handed participants

Considering third statement  

Polling 1000 people in a large community to determine if there is evidence for the claim that the percentage of people in the community living in a mobile home is greater then 10%.

The percentage of people in the community living in a mobile home is denoted with  p

The sample size is  n =  1000

The null hypothesis is  H_o :  p =10\% = 0.01,

The alternative hypothesis is H_a: p >10\% =  0.01

3 0
3 years ago
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