Answer:
Step-by-step explanation:
Without a second equation relating x and y, we can solve 3x - 1/2y = 2 ONLY for x in terms of y or for y in terms of x:
x in terms of y: Multiply all three terms of 3x - 1/2y = 2 by 2, to eliminate the fraction: 6x - y = 4. Now add y to both sides to isolate 6x: 6x = 4 + y.
Last, divide both sides by 6 to isolate x:
x = (4 + y)/6
y in terms of x:
y = 6x - 4
If you want a numerical solution, please provide another equation in x and y and solve the resulting system.
Answer:
3
Step-by-step explanation:
3^1=3 divided by 8 will give a remainder of 3
3^2=9 divided by 8 will give a remainder of 1
3^3=27 divided by 8 will give a remainder of 3
3^4=81 divided by 8 will give a remainder of 1
3^5=243 divided by 8 will give a remainder of 3
You will notice that 3^n will give 3 when n is odd number and 1 when n is even number
Since n=99 and 99 is an odd number,
Then the remainder is 3
Answer:
( 
, 8 )
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 10x - 2 ← is in slope- intercept form
with slope m = 10
Parallel lines have equal slopes
then the tangent to the parabola with a slope of 10 is required.
the slope of the tangent at any point on the parabola is 
differentiate each term using the power rule
(a
) = na
, then
= 6x + 2
equating this to 10 gives
6x + 2 = 10 ( subtract 2 from both sides )
6x = 8 ( divide both sides by 6 )
x = 
=
substitute this value into the equation of the parabola for corresponding y- coordinate.
y = 3( )² + 2
= (3 × 
) + 2
= 
+ 
= 
= 8
the point on the parabola with tangent parallel to y = 10x - 2 is ( , 8 )
I believe 25 has to be added as
(x*5)^2 = x^2 + 10x + 25
