3x^3+0x^2-2x+k:x-2=3x^2+6x+10
3x^2-6x^2
6x^2-2x
6x^2-12x
10x+k
10x-20
k+20
Thus k=-20
Answer:
Step-by-step explanation:
-x-2y+4z=-14
x=-2y+4z+14
2x+2y+2z=-6
2x=-2y-2z-6
x= -y-z-3
-x-6z=-3
x=3-6z
Answer:
the answer is 4,500kgm/s2
Step-by-step explanation:
force= mass × acceleration
Answer:
Step-by-step explanation:
Given that,
f(3) = 2
f'(3) = 5.
We want to estimate f(2.85)
The linear approximation of "f" at "a" is one way of writing the equation of the tangent line at "a".
At x = a, y = f(a) and the slope of the tangent line is f'(a).
So, in point slope form, the tangent line has equation
y − f(a) = f'(a)(x − a)
The linearization solves for y by adding f(a) to both sides
f(x) = f(a) + f'(a)(x − a).
Given that,
f(3) = 2,
f'(3) = 5
a = 3, we want to find f(2.85)
x = 2.85
Therefore,
f(x) = f(a) + f'(a)(x − a)
f(2.85) = 2 + 5(2.85 - 3)
f(2.85) = 2 + 5×-0.15
f(2.85) = 2 - 0.75
f(2.85) = 1.25
Answer:
a) P = 0.08s +200
b) $488
c) $6250
Step-by-step explanation:
<h3>a)</h3>
Your answer is correct. The commission rate is multiplied by the sales amount, and that product is added to the guaranteed pay to get the paycheck amount:
P = 0.08s +200
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<h3>b)</h3>
Fill in 3600 for s and do the arithmetic.
P = 0.08×3600 +200 = 288 +200 = 488
The paycheck amount will be $488.
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<h3>c)</h3>
Use the equation for part (a) and solve for P = 700.
700 = 0.08s +200
500 = 0.08s . . . . . . subtract 200
500/0.08 = s = 6250 . . . dollars; divide by the coefficient of s to get this
Sales would have to be $6250.
