The amount of income tax in dollars and cents is $3,895.38
Answer:
y=mx+b is the final answer!
Step-by-step explanation:
i used a calculator so i am 100% sure these are right.
Answer:
[-4, 9]
Step-by-step explanation:
The range is the vertical extent of the relation.
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The minimum value of g is marked by the solid dot at (x, y) = (4, -4). That minimum is -4.
The maximum value of g is the peak at (x, y) = (-2, 9). That maximum is 9.
The function is continuous between these values, so the range includes all values between -4 and +9, inclusive.
range: [-4, 9]
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
let's keep in mind that, in the II Quadrant, cosine is negative and sine, is positive.
cosine is adjacent/hypotenuse, however the hypotenuse is simply a radius unit, and thus is never negative, so in the -(2/3) the negative must be the numerator, -2.
