Easy
lets say
(x)(x+3)(x+1)
multiply out
x^3+4x^2+3x
ok so factor out x firs
x(x^2+4x+3)
factour inside
x(x+3)(x+1)
Answer:
Select 1, 4 and 5
The slope is -1/10
The x intercept is 100
The y intercept shows the initial amount on the card in dollars
Answer:
less than 17 minutes
Step-by-step explanation:
Answer:
38.7°.
Step-by-step explanation:
from trigonometrical ratios
SO TO CA
H A H.
Tan°=opposite/adjacent.
Tan°=48/60
Tan°=0.8000
°= Tan-1(0.8000)
°=38.65°≈38.7°
The correct question is;
A particle is moving along the curve
y=√x. As the particle passes through the point (4, 2), its x-coordinate increases at a rate of 4 cm/s. How fast is the distance from the particle to the origin changing at this instant? (Round your answer to three decimal places.)
Answer:
dS/dt ≈ 4.025 cm/s
Step-by-step explanation:
Let the distance from the origin be S and thus, the formula for that is
S = √x² + y²
The given function is y =√x
Let's plug in the S function for y to get;
S = √x² + (√x)²
S = √(x² + x)
Now, let's find the derivative with respect to time;
So;
dS/dt= [(1/2)/√(x² + x)] (2x+1)dx/dt
Let's plug in the value of x = 4 and dX/dt as 4;
dS/dt= [[(1/2)/√(4² + 4)] x [((2(4)+1)]] x 4
dS/dt= [(36/4)/√5]
dS/dt = 9/√5
dS/dt = 4.025 cm/s
