If you use slope-intercept form, Y =mx+b
m is equal to the slope,
and b is the y intercept.
Y= (1/2)x+ (-1)
or
Y = (1/2)x-1
Answer:
The correct answer is the associative property of addition.
Step-by-step explanation:
This property states that no matter which way we group things when adding, they will still create the same outcome. Since all of the symbols are addition, the answer is the same.
Rewrite all 4 numbers as decimals to compare them:
88/25 = 3.52
3 11/20 = 3.55
Now arrange them in the correct order:
88/25, 3 11/20, 3.551, 3.88
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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