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Answer:
Valerie has $2 and then earns $1 per week (where x is the number of weeks) in allowance, for a total of y dollars.
Step-by-step explanation:
Answer:
41
Step-by-step explanation:
b = 1/6
Explanation:
3x-y=4 ...1st equation
Rewriting in slope- intercept form:
y = 3x - 4
2y+4bx=1
Rewriting in slope- intercept form:
2y = -4bx + 1
y = -4bx/2 + 1/2
Equation of line: y = mx + c
where m = slope, c = intercept
For a line to be perpendicular to another, the slope of one will be the negative reciprocal of the slope of another.
Slope of the 1st equation = 3
m = 3
reciprocal of 3 = 1/3
negative reciprocal of 3 = -1/3
Slope of the 2nd equation = -4b/2
we equate both slope:
negative reciprocal of 3 = -4b/2
-1/3 = -4b/2
cross multiply:
-1(2) = 3(-4b)
-2 = -12b
Divide both sides by -12:
-2/-12 = -12b/-12
b = 1/6
Hence, the value of b that makes the lines perpendicular is 1/6
Answer:
4, 5, 6
Step-by-step explanation:
First integer is X, consecutive is (x+1), next consecutive is (X+1+1)=(X+2)
Three consecutive integers have a sum of 15. X+X+1+X+2 = 15
X+X+1+X+2 = 15
3X + 3 = 15
3X = 15-3
3X = 12
X = 4
X+1 = 4+1=5
X+2 = 4+2=6
Check: 4+5+6=15, 15=15
