Answer:
The three numbers are 56/5, -39/5 and 78/5.
Step-by-step explanation:
EQUATION 1:
First number: x
Second number: y
Third number: z
x + y + z = 19
EQUATION 2:
Sum of following is 77
Twice the first number: 2x
5 times the second number: 5y
6 times the third number: 6z
So, 2x + 5y + 6z = 77
EQUATION 3:
Difference between first and second number is 19.
x - y = 19
Equation 1: x + y + z = 19
Equation 2: 2x + 5y + 6z = 77
Equation 3: x - y = 19
1. Find x in terms of y
x - y = 19
x = 19 + y
2. Find y in terms of z by putting the value of x in first and second equation
x + y + z = 19
(19 + y)+ y + z = 19
2y + z = 19 - 19
2y + z = 0
y = -z/2
and
2(19+y)+5y+6z=77
now putting the value of y in this equation
2(19-z/2)+5(-z/2)+6z=77
38 - z -5z/2 +6z = 77
5z/2 + 38 = 77
5z/2 = 39
z = 78/5
Now, y = -z/2
y = (-78/5)/2
y = -39/5
and x = 19 + y
x = 19 - 39/5
x = 56/5
Therefore, the three numbers are 56/5, -39/5 and 78/5.
Keyword: Sum
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Answer:
Answer is 5 3/4
Step-by-step explanation:
Thanks Hope this helps
Answer:
v =-1/2 hope it may help u
Step-by-step explanation:
v =u+at
v=2 -5/2
v=4-5/2
v=-1/2/2
Answer:
g(-1) = 3, g(2) = 6, g(5) = 4
Step-by-step explanation:
Please refer to attached photo. (Apologies for the terrible handwriting.)
From here we can see,
g(x) = x + 4 applies for values x less than or equal to 2.
g(x) = 9 - x applies for values x more than 2 (which does not include 2.)
g(-1):
Since -1 < 2,
g(-1) = -1 + 4 = 3
g(2) = 2 + 4 = 6
g(5):
Since 5 > 2,
g(5) = 9 - 5 = 4
C.2 because there are two functional lines?
