Answer:is (4x-5)
Step-by-step explanation:
Question 1:
For this case, the first thing we must do is define variables.
We have then:
x: number of nickels
y: number of dimes
We write the system of equations that adapts to the problem.
We have then:
0.05x + 0.10y = 6.10
x + y = 67
Solving the system we have:
x = 12
y = 55
Answer:
there are 12 nickels
Question 2:
For this case, the first thing we must do is define variables.
We have then:
x: Allan's score
y: Dave's score
We write the system of equations that adapts to the problem.
We have then:
x + y = 375
x = 2y-60
Solving the system we have:
x = 230
y = 145
Answer:
Dave: 145 Allan: 230
Answer:
Step-by-step explanation:
If we know that D is the midpoint, then 2x + 7 = 4(x-3). Doing the algebra on that gives us
2x + 7 = 4x - 12 and
19 = 2x so
x = 9.5
The tangent line to the curve can be determined by implicitly differentiating the equation of the curve. In this case, with the equation <span>y sin 12x = x cos 2y, (π/2, π/4), the implicit differentiation is 12 y cos 12x dx + sin 12 x dy = -2x sin 2y dy + cos 2y dx; dx (12 y cos 12x - cos 2y) = dy (</span><span>-2x sin 2y - sin 12x). Hence
y' = (</span>12 y cos 12x - cos 2y) / (<span>-2x sin 2y - sin 12x)</span>