Equation 2: 3m = 4 + 4n
Step 1:
−3(m) = −3(8 + 2n) [Equation 1 is multiplied by −3.]
3m = 4 + 4n [Equation 2]
Step 2:
−3m = −24 − 6n [Equation 1 in Step 1 is simplified.]
3m = 4 + 4n [Equation 2]
Step 3:
−3m + 3m = −24 − 6n + 4n [Equations in Step 2 are added.]
Step 4:
0 = −24 − 2n
Step 5:
n = −12
In which step did the student first make an error?
Step 4
Step 3
Step 2
Step 1
Answer:
Step 3
Step-by-step explanation:
Hello
the student made a mistake in the step number 3.
let´s see
in the step number 1 he multiplied by -3 in order to add this new equation with equiation 2 and then eliminate the terms with m
Step one
-3(m)=-3(8+2n)
-3m= -24 - 6 n, it is ok
in step two he simplified, he did it well.
in the step 3 he added the equations
-3m = -24-6n
3m = 4 +4n
_____________
0 = -20-2n
he did not add properly -24+4, here , he made his first mistake.
step 4 is already wrong
continuing..to find n
0= -20-2n
20=-2n
n=-10
Have a great day
A tough one can you solve it without looking the answer up or not cheating in any way
Answer:
∠EFG = 48°
Step-by-step explanation:
As FH bisects ∠EFG , ∠EFH = ∠HFG .
We know that ∠EFH = (-5x + 89)° . So ∠HFG = ∠EFH = (-5x + 89)°
Also, ∠HFG + ∠EFH = ∠EFG
=> 2(-5x + 89)° = (61 - x)°
=> -10x + 178 = 61 - x
=> 10x - x = 178 - 61
=> 9x = 117
=> x = 117 / 9 = 13
Putting the value of 'x' in ∠EFG gives :-
(61 - x)° = (61 - 13)° = 48°
Factοring is the prοcess οf reversing the distributive prοperty sο that a pοlynοmial can be written as the prοduct οf simpler pοlynοmials is true.
Factοring is the prοcess οf finding the factοrs οf a pοlynοmial, that is, rewriting the pοlynοmial as the prοduct οf simpler pοlynοmials. The distributive prοperty is used in reverse during the factοring prοcess tο find the cοmmοn factοrs οf a pοlynοmial.
Fοr example, cοnsider the pοlynοmial expressiοn . We can factοr οut a cοmmοn factοr οf 2x tο get:
2x(x + 3)
This is the reverse οf the distributive prοperty, which is used tο expand expressiοns. In this case, we are taking the cοmmοn factοr 2x and distributing it tο each term οf the pοlynοmial tο write it as a prοduct οf simpler pοlynοmials.
Factοring is an impοrtant skill in algebra and calculus because it helps simplify expressiοns and sοlve equatiοns. It is alsο used in many οther areas οf mathematics and science, including number theοry, graph theοry, and physics.
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Answer:
you would distribute the -4 into the parenthesis and the answer would be option D
Step-by-step explanation:
The probability of randomly selected employee shows the happening of that event. The probability that the employee is a male, given that the employee is less than 30 years old is 0.34.
Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
The conditional probability is the happening of an event, when the probability of occurring of other event is given.
The probability of event A, given that the event B is occurred.
Given information-
The probability of a randomly selected employee of a company being male is 60%.
The probability of the employee being less than 30 years old is 70%.
The probability of the employee being less than 30 years old (employee is a male) is 40%.
The probability that the employee is a male, given that the employee is less than 30 years old has to be find out.
As, the probability of a randomly selected employee of a company being male is 60% and the probability of the employee being less than 30 years old (employee is a male) is 40%.
Thus the probability of employee is less than 30 years old given that the employee is male is,
As the probability of the employee being less than 30 years old is 70%. Thus, the probability that the employee is a male, given that the employee is less than 30 years old is,
Hence the probability that the employee is a male, given that the employee is less than 30 years old is 0.34.
Learn more about the probability here;