Answer:
x = 9
Step-by-step explanation:
1/4(8x+12) =21
1/4 * 8x = 2x
1/4 * 12 = 3
2x + 3 = 21
21 - 3 = 18
2x = 18
18/2 = 9
x = 9
Answer:
B
Step-by-step explanation:
4x + 2y = 3
(send 2y to the right and 3 to the left)
4x - 3 = -2y
(divide everything by -2)
(4x)/(-2) - 3/(-2) = y
So now we have a function which is like
y = ax + c
c = the y value of intersection point of the equation and the y-axis
a = amount of increase in y values per x value
so in this example:
(4x/(-2)) = (4/(-2))x -> a = 4/(-2) = -2
and
c = -3/-2 = 3/2
So the graph that we're searching for is increasing (-2) y values (so decreasing 2 y values) per 1 x value and has an intersection with the y-axis where y = 3/2
Hotel
He stayed 3 nights, so $115.62 × 3 = $346.86
Airfare
$45.70 + $32.49 = $78.19
Food
He averaged $15 a day, and he stayed 4 days.
$15 × 4 = $60
Winnings
He won $75 but lost $25
$75 - $25 = $50 won.
Adding up all the expenses and winnings, we find that he paid $435.05 for his trip.
Answer: Lets divide by 8. My god, those coefficients are large.
x^3 - 8x^2 + 20x - 16 = 0
Possible integral roots are: +1, -1, +2, -2, +4, -4, +8, -8
If x = 2, f(x) = 8 - 32 + 40 - 16 = 0
Hence, x-2 is a factor.
Use synthetic division to get: x^2 - 6x + 8 = (x-4)(x-2).
Therefore, there are two integral roots: +2 and +4.
Step-by-step explanation:
