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nordsb [41]
3 years ago
5

For f(x)=3x+1 and g(x)=x^2-6, find (f o g)(x)

Mathematics
1 answer:
Eddi Din [679]3 years ago
8 0
The answer is:  " <span>3x² − 17 " .
______________________________________</span>
f(x) = 3x + 1 ;
________________________________________________
If g(x) = x² − 6 ;

then:   (f o g)(x)  = f(x² − 6) = 3x + 1 ;

=  3(x² − 6) + 1  =  3x² − 18 + 1 ;

=  3x² − 17  .
_______________________________________________
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I NEED HELP BAD I WILL GIVE 20 POINTS IF YOU ANSWER ALL THEM
natita [175]

<span>1.     </span><span>Why was Robert E. Lee convinced that he should attack in the Northern territory again in June of 1863? </span>

<span>He was confident that he would win because he just became victorious against the Army of the Potomac in Chancellorville. His belief and his desire to be recognized by the Confederacy by the French and British, convinced him that he should attack the Northern territory for the second time.  </span>

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2. Which side won that 1st day of the battle on July 1st, 1863? Union or Confederate
– The Confederate won on the 1st day of the battle.


3. How did the Battle of Gettysburg start - did they plan on meeting up at Gettysburg and have a battle there?
A confederate soldier discovered that Union cavalries were in town. With this intel, the confederate were able to initiate attacks against them.  


4. Who ended up losing this entire battle at Gettysburg, General Meade or General Lee?
– General Lee ended up losing the entire battle at Gettysburg.


5. During the 2nd day of the Battle of Gettysburg, on July 2nd, how did the Union have the advantage over the Confederacy?
– The Union armies were able to secure strong positions for themselves from Culp’s Hill to Cemetery Ridge.


6. Why did General Lee order General Pickett to charge across a mile long open field? 
– He thought that the Confederates won on the 2nd day of Battle thus he ordered Gen. Picket to charge across a mile long open field to attack dug-in Union soldiers in their positions.


7. Did Pickett and his men successfully take over Cemetery Ridge from the Union during their charge?
– No. They were attacked by the Union armies in all sides. They lost 2/3 of their men.


8. True or False It was General Pickett’s fault that his charge didn’t work. 
– False. General Lee ordered the charge despite protest from Longstreet. Gen. Pickett was merely following orders.


9. About how many casualties did the Union and Confederacy both have during the 3 day battle at Gettysburg? Union casualties – 23,000 ; Confederate casualties – 28,000


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7 0
2 years ago
The null and alternate hypotheses are: H0: ????1 ???? ????2 H1: ????1 ???? ????2 A random sample of 15 observations from the fir
bija089 [108]

Answer:

t=\frac{(350-342)-0}{\sqrt{\frac{12^2}{15}+\frac{15^2}{17}}}}=1.674  

The degreess of freedom are given by:

df = 15+12-2 =25

Now we can calculate the p value with the following probability:

p_v =2*P(t_{25}>1.674)=0.107  

For this case since the p value is higher than the significance level we can FAIL to reject the null hypothesis and we can conclude that the true means are NOT significantly different at 10% of significance.

Step-by-step explanation:

Information provided

\bar X_{1}=350 represent the mean for sample 1  

\bar X_{2}=342 represent the mean for sample 2  

s_{1}=12 represent the sample standard deviation for 1  

s_{2}=15 represent the sample standard deviation for 2  

n_{1}=15 sample size for the group 2  

n_{2}=17 sample size for the group 2  

\alpha=0.1 Significance level provided

t would represent the statistic

Hypothesis to test

We want to verify if the true means for this case are significantly different, the system of hypothesis would be:  

Null hypothesis:\mu_{1}-\mu_{2}=0  

Alternative hypothesis:\mu_{1} - \mu_{2}\neq 0  

The statistic is given by:

t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}} (1)  

And the degrees of freedom are given by df=n_1 +n_2 -2=15+17-2=30  

Replacing the info given we got:

t=\frac{(350-342)-0}{\sqrt{\frac{12^2}{15}+\frac{15^2}{17}}}}=1.674  

The degreess of freedom are given by:

df = 15+12-2 =25

Now we can calculate the p value with the following probability:

p_v =2*P(t_{25}>1.674)=0.107  

For this case since the p value is higher than the significance level we can FAIL to reject the null hypothesis and we can conclude that the true means are NOT significantly different at 10% of significance.

5 0
3 years ago
If point A is located at (0,-8) and B is located at (4,-5) what is the distance between them
svlad2 [7]

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{0}~,~\stackrel{y_1}{-8})\qquad B(\stackrel{x_2}{4}~,~\stackrel{y_2}{-5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AB=\sqrt{[4-0]^2+[-5-(-8)]^2}\implies AB=\sqrt{(4-0)^2+(-5+8)^2} \\\\\\ AB=\sqrt{4^2+3^2}\implies AB=\sqrt{25}\implies AB=5

6 0
3 years ago
(6.03)<br> Which of the following best describes the expression 6(y + 3)?
ivanzaharov [21]

Answer:

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6 0
2 years ago
Read 2 more answers
Consider the first four terms of an arithmetic sequence below.
VMariaS [17]
7, 13, 19 and 25 have a common difference:  6.  
6 added to 7 gives us 13; 6 added to 13 gives us 19, and so on.

Explicit formula:  a(n) = 7 + 6(n-1), where 7 is the first term and n is the counter (1, 2, 3, ...).

The first term is 7 (given).  This corresponds to n=1.

The second term is a(2) = 7 + 6(2-1), or 7 + 6, or 13.  This corresponds to n = 2.

and so on.


6 0
3 years ago
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