Answer:
a) Infinite solutions
b) No solutions
Step-by-step explanation:
First, know the following:
If the graphs intersect, there's only one solution.
If the graphs are parallel, there are no solutions.
If the graphs are the exact same line, there are infinite solutions.
For a):
Change the first equation into a linear one.
Change the second equation into a linear one.
- 4x+6y=12
- 6y=-4x+12
Boom. You have two equations which are equal. As stated above, graphs on the exact same line have infinite solutions.
For b)
They are already in linear form so hurray.
These lines are parallel since they have the SAME slope but a different y-intercept. As stated above, parallel lines have no solutions.
Answer:
3, in both a), b)
Step-by-step explanation:
a) The slope of the line tangent to the curve that passes through the point (2,-10) is equal to the derivative of p at x=2.
Using differentiation rules (power rule and sum rule), the derivative of p(x) for any x is 
. In particular, the value we are looking for is 
.
If you would like to compute the equation of the tangent line, we can use the point-slope equation to get 
b) The instantaneus rate of change is also equal to the derivative of P at the point x=2, that is, P'(2). This is equal to 
.
The answer for A is 2,026. I set a porportion up which is 77/x = 3.8/100
The answer to B is 26
C. -3,-3 is the correct answer
Answer:
Step-by-step explanation:
Slope (m) =
ΔY
ΔX
= 0
θ =
arctan( ΔY )
ΔX
= 0°
ΔX = 6 – 2 = 4
ΔY = -3 – -3 = 0
Distance (d) = √ΔX2 + ΔY2 = √16 = 4
Equation of the line:
y = 0x – 3
When x=0, y = -3
