Answer:
178 miles
Step-by-step explanation:
We know that there is a constant of $14.20 that is the fee. This can represent b in our slope intercept formula. For every mile, the cost is 16 cents, which can replace m when x represents the number of miles driven.
y=mx+b
y=.16x+14.20
We know her entire bill is 42.68, so we can plug that in as y and solve for x.
42.68=.16x+14.20
Minus 14.20 from both sides
28.48=.16x
Divide both sides by .16
x=178
Answer:
(x +(-2) ) and ( x+3)
The factors of a given cubic polynomial function are
( x-1) (x -2 ) and (x +3)
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that x³ - 7x + 6=0
f(x) = x³ - 7x + 6=0
put x=1
f(1) = 1 -7 +6 =0
(x -1 ) is one factor of given polynomial
By using synthetic division
x³ x² x constant
x=1 ║ 1 0 -7 6
<u>║ 0 1 1 -6</u>
<u> 1 1 -6 0</u>
The polynomial ( x² + x - 6) =0
<u><em>Step(ii):-</em></u>
The factors of
x² + x - 6=0
x² + 3x -2x - 6=0
x ( x +3 ) - 2( x +3) =0
(x -2 ) ( x+3 ) =0
x = 2 and x =-3
<u><em>Final answer:-</em></u>
The factors of a given cubic polynomial function are
( x-1) (x -2 ) and (x +3)
Answer:
y = 4x - 9
Step-by-step explanation:
Use the formula:
y = mx + b
Where m is the slope, b is the y-intercept.
The slope is 4.
y = 4x + b
The y-intercept is -9 because it passes through (0, -9).
y = 4x - 9
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<u>Answer:</u>
<u />
y=77+x
<u>Step-by-step explanation:</u>
The <em>Triangle Angle Sum Theorem</em> states that the sum of all of the angles in any triangle equals 180 degrees.
In the given triangle, two of the angles are already known. The third angle is 180 - y degrees, as all lines measure 180 degrees.
Therefore, the below equation can be put together.
77+x+180-y=180
77+x-y=0
x-y=-77
-y=-77-x
y=77+x
So, y in terms of x is ... y=77+x.
Hope this helps! Comment any questions.