Hello there!
Yes, your solution is correct! A way to check it is replacing the value you found for x into x in the equation.
3(2-x) = 7 - 4x ⇒ 3(2-1) = 7 - 4(1)
And now solve 3(2-1) = 7 - 4(1).
3(1) = 7 - 4(1)
3 = 7 - 4
3 = 3
Since it is a true statement that 3 is equal to 3, it means your solution of x = 1 is correct. Good job! :)
Answer:
\left(ax^2\right)\left(-6x^b\right)=12x^5\\\\(-6a)x^{2+b}=12x^5\to -6a=12\ and\ 2+b=5\\\\-6a=12\ \ \ |:(-6)\\a=-2\\\\2+b=5\ \ \ |-2\\b=3
Answer:\ a=-2;\ b=3
Step-by-step explanation:
Answer:
x=0
Step-by-step explanation:
Answer:
3/70
Step-by-step explanation:
3 orange,6 pink , 1 yellow , and 5 red = 15
P(pink) = number of pink/ total = 6/15 = 3/5
Then without putting it back
3 orange,5 pink , 1 yellow , and 5 red = 14
P(yellow) = number of yellow/ total = 1/14
P(pink, no replacement, yellow) = 3/5*1/14 = 3/70
For any circle with Cartesian equation

,
we have that the centre of the circle is

, and the radius of the circle is

.
So in the case that

,
we essentially have that

.
So the centre of the circle is

, and the radius is

.