Answer:
2z(4z^2+1)(2z+1)(2z-1)
Step-by-step explanation:
here is just some basic polynomial factoring where you find something both the numbers have in common and you take that out of the equation. here i just went a little bit deeper and after taking out the common factor i also expanded my answer further as this would be the fully correct answer.
hope this helps!
39 + 0.16m = 25 + 0.24m
39 - 25 = 0.24m - 0.16m
14 = 0.08m
14 / 0.08 = m
175 = m <=== they will cost the same at 175 miles
39 + 0.16(175) = 39 + 28 = $ 67
25 + 0.24(175) = 25 + 42 = $ 67
they will both cost $ 67 <=====
Answer:
(
, 8 )
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 10x - 2 ← is in slope- intercept form
with slope m = 10
Parallel lines have equal slopes
then the tangent to the parabola with a slope of 10 is required.
the slope of the tangent at any point on the parabola is 
differentiate each term using the power rule
(a
) = na
, then
= 6x + 2
equating this to 10 gives
6x + 2 = 10 ( subtract 2 from both sides )
6x = 8 ( divide both sides by 6 )
x =
= 
substitute this value into the equation of the parabola for corresponding y- coordinate.
y = 3(
)² + 2
= (3 ×
) + 2
=
+ 
= 
= 8
the point on the parabola with tangent parallel to y = 10x - 2 is (
, 8 )
Y=1/2x -3 find the x coordinate of the point whose y
coordinate is 5
y = 5. Write the equation as:
1/2F2x - 3 = 5
multiply both sides by 2, and you have
x - 6 = 10
x = 10 + 6
x - 16
Check solution in original equation, replace x with 16
y = 1/2F2(16) - 3
y = 8 - 3
y = 5