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spayn [35]
2 years ago
11

Lonzell said the function shown in the graph is positive on the interval (−,) and negative on the interval (−,−)open negative 5

comma negative 1 close. Identify and correct Lonzell’s error.

Mathematics
1 answer:
Nezavi [6.7K]2 years ago
5 0

Answer:

The positive graph is on the points  (-5,-4) and (2,5)

And, negative would be (-4,2)

Step-by-step explanation:

As it seems that fgraph shows positive in the case when it is over x-axis, and negative when it is below y-axis

As on the interval (-1,5)

The graph is below x-axis i.e. on (-1,2)

And, over x-axis i.e. on (2,5)

At this point Lonzell’s  is not correct

As on the interval (-5,-1)

The graph is below x-axis i.e. on (-4,-1)

And, over x-axis i.e. on (-5,4)

 At this point Lonzell’s  is not correct

So,

The positive graph is on the points  (-5,-4) and (2,5)

And, negative would be (-4,2)

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If ce = 7x+4, find the value of x
Alex787 [66]

Hey there,

To find the value of x we can take the two, CD or DE and set them equal to CE.

First step is set the lines equal to each other:

  • x + 3 + 8x - 9 = 7x + 4

Now we combine like terms:

  • 9x - 6 = 7x + 4

Then we subtract 7x from both sides:

  • 2x - 6 = 4

Add 6 to both sides:

  • 2x = 10

Lastly we divide both sides by 2:

  • x = 5

So the value of x would have to be 5.  

Hope I helped,

Amna

7 0
2 years ago
Read 2 more answers
Which represents the solution to the absolute value equation? 5|2x-4|+1=11
lora16 [44]

simplify-   10x+20+1=11

simplify-   10x+21=11

x=-1

4 0
2 years ago
A botanist collected one leaf at random from each of 10 randomly selected mature maple trees of the same species. The mean and t
Zarrin [17]

Answer:

One sample t-test for population mean would be the most appropriate method.

Step-by-step explanation:

Following is the data which botanist collected and can use:

  • Sample mean
  • Sample Standard Deviation
  • Sample size (Which is 10)
  • Distribution is normal

We have to find the best approach to construct the confidence interval for one-sample population mean. Two tests are used for constructing the confidence interval for one-sample population mean. These are:

  • One-sample z test for population mean
  • One-sample t test for population mean

One sample z test is used when the distribution is normal and the population standard deviation is known to us. One sample t test is used when the distribution is normal, population standard deviation is unknown and sample standard deviation is known.

Considering the data botanist collected, One-sample t test would be the most appropriate method as we have all the required data for this test. Using any other test will result in flawed intervals and hence flawed conclusions.

Therefore, One-sample t-test for population mean would be the most appropriate method.

8 0
2 years ago
At smith mountain lake boat rentals, it costs $25 per hour to rent a pontoon boat, plus a one-time charge for cleaning. The Beng
ludmilkaskok [199]

Answer:

The given equation  in slope intercept form is

226.50  = 7.5 (25) + 39  

Step-by-step explanation:

The SLOPE INTERCEPT form of a equation is y = m x + c

The per hour cost for rental of boat  =   $25 per hour

Let us assume the one time cleaning charge = $  k

The boat is booked from 11 am : 6 : 30 pm

So, the number of hours boat was used   =  7 . 5 hours

Hence, the cost for engaging boat for 7.5 hours

= 7.5 (cost per hour )  = 7.5( $25)  = $187 . 5

Total amount paid by the family = $226. 50  =  Fixed cleaning charge  +  rate for 7.5 hours

⇒The cleaning fee paid by the family =    $226. 50 - $187 . 5  = $39

According to question:

Total amount paid  =  Number of hour x (cost per hour )  + Cleaning fee

Hence, the given equation  in slope intercept form is

226.50  = 7.5 ($25) + $39

8 0
1 year ago
Solve each given equation and show your work the whether each equation has one solution, an infinite number of solutions, or no
Triss [41]
2x+4x-4=2+4x
2x+4x-4x=2+4
2x=6
x=3

25-x=15-3x-10
3x-x= 15-10-25
2x= -20
x= -10

4x=2x+2x+5x-5x
2x+2x+5x-5x-4x
0 . no solution
8 0
1 year ago
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