Answer:
2n-3
Step-by-step explanation:
n represents the number of hours Darcy practices.
The number of hours Hannah practices each week is 3 hours less than twice the number of hours Darcy practices.
Twice the number of hours Darcy practices is 2n.
Hannah practices for : 2n-3
Hence, the expression that represents the number of hours Hannah practices is "2n-3".
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As the question is written,
.. f(-1.8) = -2 +8 = 6
We suspect x is missing. Perhaps you intend
.. f(x) = -2x +8
.. f(-1.8) = -2(-1.8) +8 = 11.6
Answer:
x = 17 degrees
Complementary Angle
Step-by-step explanation:
x is a complementary angle, this means that when you add it's angle with another angle, the sum would be 90 degrees
To figure out what x is, subtract 73 from 90:
90 - 73
which gives you 17
therefore, x = 17
Answer:
A non-calculus solution follows afterward.
For a calculus solution, the gradient is the first derivative with the point put in.
y = -x²+3x
dy/dx or y’ = -2x +3 is the gradient at any point.
but the tangent is at x = 2 so put it in
y’ = -(2*2)+3 = -1 is the gradient of the tangent at point (2,2)
Non-calculus solution:
y = -x²+3x 1️⃣but slope of tangent m = (y-2)/(x-2)2️⃣
put 1️⃣ into 2️⃣ and rearrange ⟹ mx-2m+x²-3x+2 = 0
or x²+(m-3)x+2–2m =0
but for a tangent the discriminant b²-ac = 0
(m-3)²-4*1*(2–2m) = 0
m²+2m+1 = 0
(m+1)(m+1) = 0
m = -1 is the is the gradient of the tangent at point (2,2)
Step-by-step explanation:
