Answer:
k = 3
Step-by-step explanation:
Expand the left side and compare the coefficients of like terms on both sides.
(2x - 1)(kx + 1) ← expand using FOIL
= 2kx² + 2x - kx - 1
Compare the coefficients of the x² term on both sides
2k = 6 ( divide both sides by 2 )
k = 3
the equation is a quadratic one, and it has a positive coefficient on the leading term, meaning, is opening upwards, so it has a "burrow" for the vertex.
the minimum or lowest point for a quadratic opening upwards is, well, the vertex point :), the "x" value is the year, the "y" or f(x) value is the population, we're asked for the year, or the x-coordinate of the vertex
well
Answer: x = -2/5
Step-by-step explanation:
25x + 10 = -2 -5x
⇔ 30x = -12
⇔ x = -2/5
Answer:
C. 
-6n+5
Step-by-step explanation:
Area of a rectangle =l x w
A=(n-5)(n-1)
Use distributive property
-n-5n+5
Combine like terms
-6n+5
Let x = the number of nonzero digits in a randomly selected zip code. what are the possible values of x? (note: u.s. domestic zip codes have exactly five digits with at least two nonzero digits.)
Solution: The possible values of x are 2, 3, 4, 5. Hence the option 2,3,4,5 is correct.
Explanation:
We are given that U.S domestic zip-code consists of 5 digits and there zip-codes contains at least 2 non-zero digits. It means we can not see a zip-code with five zero's and a zip-code with four zero's.
Therefore, we can have zip-code containing 2 non-zero digits, 3 non-zero digits, 4 non-zero digits and 5 non-zero digits. Hence the possible values of x are 2,3,4,5
