Answer:
Step-by-step explanation:
The absolute maximum of a continuous function 
is where 
. Therefore, we must differentiate the function and then set 
and to determine the value of 
:
Therefore, when , the absolute maximum of the function is .
I've attached a graph to help you visually see this.
Answer:
x<6/5, x>14/5
Step-by-step explanation:
Steps
$5\left|x-2\right|+4>8$
$\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}$
$5\left|x-2\right|+4-4>8-4$
$\mathrm{Simplify}$
$5\left|x-2\right|>4$
$\mathrm{Divide\:both\:sides\:by\:}5$
$\frac{5\left|x-2\right|}{5}>\frac{4}{5}$
$\mathrm{Simplify}$
$\left|x-2\right|>\frac{4}{5}$
$\mathrm{Apply\:absolute\:rule}:\quad\mathrm{If}\:|u|\:>\:a,\:a>0\:\mathrm{then}\:u\:<\:-a\:\quad\mathrm{or}\quad\:u\:>\:a$
$x-2<-\frac{4}{5}\quad\mathrm{or}\quad\:x-2>\frac{4}{5}$
Show Steps
$x-2<-\frac{4}{5}\quad:\quad x<\frac{6}{5}$
Show Steps
$x-2>\frac{4}{5}\quad:\quad x>\frac{14}{5}$
$\mathrm{Combine\:the\:intervals}$
$x<\frac{6}{5}\quad\mathrm{or}\quad\:x>\frac{14}{5}$
Answer:
Step-by-step explanation:
The area of a rectangle will always be length times width or width times length, doesn't matter which way.
In this case, the width is 
miles and the length is 
miles. So, the area is 
.
So, the area is 
and we're done.
The probability that no boys will be chosen is 0.2857
What is probability?
The area of arithmetic called likelihood deals with numerical representations of the chance that an incident can occur or that a press release is true.
Main Body:
Total students =22
total boys = 10
total girls =12
Now we have to chose 2 girls from 12 , so combination is used to select ,
⇒¹²C₂
Also, We have to chose 2 girls from 22 students
so it can be represented as ,
⇒²²C₂
Probability of choosing 2 girls = ¹²C₂/²²C₂
On solving this we will get = 0.2857
Hence the probability is 0.2857
To know more about probability , visit;
brainly.com/question/13604758
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The height is 5 and 1/4 then the base is 2 and 1/2
You can convert these fractions into decimals and them multiply them to get your area.
