(a) Carson's statement is always true.
For example: (-7.2)/(-2.4)= 3 >0
(-1.6)/(-0.8)= 2 >0
(b) When we divide two negative decimals, we divide the decimals and don't care about the sign, for the sign is always positive.
Hope this helps~
Answer:
4
Step-by-step explanation:
4×4=16 (4 squared)
16-4=12 (4 is 12 less than its suare =16)
Hi there!
First of all simplify x+5(x-1)=(x-3)4-1.
This would make 6x-5=4x-13.
Next, subtract 4x from both sides.
6x-5-4x=4x-13-4x
2x-5=-13
Then add 5 to both sides.
2x-5+5=-13+5
2x=-8
Finally divide by 2 on both sides.
2x/2=-8/2
x=-4
Your answer is -4.
Hope this helped!
Answer:
y = 2x − 1
Step-by-step explanation:
By eliminating the parameter, first solve for t:
x = 4 + ln(t)
x − 4 = ln(t)
e^(x − 4) = t
Substitute:
y = t² + 6
y = (e^(x − 4))² + 6
y = e^(2x − 8) + 6
Taking derivative using chain rule:
dy/dx = e^(2x − 8) (2)
dy/dx = 2 e^(2x − 8)
Evaluating at x = 4:
dy/dx = 2 e^(8 − 8)
dy/dx = 2
Writing equation of line using point-slope form:
y − 7 = 2 (x − 4)
y = 2x − 1
Now, without eliminating the parameter, take derivative with respect to t:
x = 4 + ln(t)
dx/dt = 1/t
y = t² + 6
dy/dt = 2t
Finding dy/dx:
dy/dx = (dy/dt) / (dx/dt)
dy/dx = (2t) / (1/t)
dy/dx = 2t²
At the point (4, 7), t = 1. Evaluating the derivative:
dy/dx = 2(1)²
dy/dx = 2
Writing equation of line using point-slope form:
y − 7 = 2 (x − 4)
y = 2x − 1
You posted a formula with no equation, there’s no way to answer your question
