Answer:
He has 
number of points
Step-by-step explanation:
We have given that numbers from 3 to 9
So numbers will be 3,4,5,6,7,8,9
Here prime numbers are 3,5,7
And composite numbers are 4,6,8,9
So probability of getting prime number = 
And probability of getting composite number 
It is given that if he gets prime number then he get 1 point and if he get composite number then he loss 1 point '
So value of number of point he has = 
According to the condition, this equation has <u>two</u> solutions: -14/5 and 14/5.
Short explanation:
5|x|=14; ⇔ |x|=14/5; ⇒
PS. it's correct, if to substitute the values of 'x' into the condition/equation.
The are both equal bc you use the graphing method or I was taught that
If f(x)= 3x+2 and g(x)= 4x, then
f(x)+g(x) = 3x+2+4x
= 7x+2
For f(g(x)), you work from the inside and work your way out. Another way of thinking is to go from right to left. (Inside/out and right/left are the same simply using different wording).
So what is g(x)? 4x.
Now, you take 4x and plug it into the f(x).
** Math--> English translation:
Look at the f(x) equation. Wherever you see an x in the f(x), replace the x with 4x [because 4x is the g(x)]. Basically, plug the g(x) into f(x).
So:
f(g(x)) becomes
f(4x) becomes
3 (4x)+2 = 12x+2
** Disclaimer: Notation may be inaccurate.
That's your answer. (Usually you leave it as so, but if your instructor wants it factored, then proceed).
As for the third part, I am unsure of a clear answer, so I am unable to provide an answer at the time.
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Hope that helped.
DISCLAIMER:
Always double check with a reliable source, as mistakes are a possibility. Never use this, or any, platform to cheat.
Answer:
4.5
Step-by-step explanation:
To find the hypotenuse of a right triangle, we use Pythagorean's Theorem which states that 
. Plugging in the values of the two legs given, we get 
. We can take the square root of each side and get that 
.
