Answer: The Expression is Equivalent, However, NOT completely factored.
Step-by-step explanation:
3x^2 - 12
Following:
3 ( x^2 - 4 )
Factor:
3x^2 - 12
Factor Out Common Term 3:
3 ( x^2 - 4 ) = 3 (x^2 - 4 )
Factor:
x^2 - 4
( x + 2 ) ( x - 2 )
Answer:
3 ( x + 2) ( x - 2)
Hence, The Expression is Equivalent, However, Wasn't Completely Factored.
Hope that helps!
Answer:
(A) 0.125 probability
(B) 0.625 probability
(C) 660 miles
Step-by-step explanation:
The distance driven by a truck driver daily, falls between 300miles and 700miles and follows a uniform distribution.
(A) The probability that the truck driver goes more than 650 miles a day is:
[700 - 650] / [700 - 300] = 50/400 = 0.125
(B) The probability that the truck driver goes between 400 and 650 miles a day is:
[650 - 400] / [700 - 300] = 250/400 = 0.625
(C) The minimum number of miles the truck driver travels on the furthest 10% of days is given thus:
10% of 400 = 40
Subtract this from the farthest distance;
700miles - 40miles = 660miles
To calculate hypothenuse you use the formula a^2+b^2=c^2 where c is the length of the hypothenuse.
1. 5^2+7^2=c^2
2.25+49=74
3. Now you will square root the 74
4. The hypothenuse is equal to 8.6
Answer:
Carrots cost $ 1.75 a pound which is more than potatoes cost.
Step-by-step explanation:
Let,
Carrots cost $ x per pound and potatoes cost $ y per pound.
Buying 2 pounds of carrots and 3 pounds of potatoes will cost her
$ 
and
Buying 4 pounds of carrots and 4 pounds of potatoes will cost her
$ 
According to the question,
-----(1)
-----(2)
multiplying (1) by 2 we get,
-----(3)
Deducting (2) from (3) we get,
⇒ 
------------------(4)
Putting value of y in (1) we get,
⇒ 
------------(5)
