Answer:
Step-by-step explanation:
<u>Coordinates of points</u>
i) lies on x- axis with abscissa - 3
- If it lies on x- axis, it has zero y-coordinate
- It is (-3, 0)
ii) lies on y-axis with ordinate 5
- It lies on y-axis, it has zero x-coordinate
- It is (0, 5)
Answer:
- asymptotes: x = -5, x = 5
- zero: x = 0
Step-by-step explanation:
The function of interest is ...
The asymptotes are found where the denominator is zero. It will be zero when either factor is zero, so at x = 5 and x = -5
__
The zeros are found where the numerator is zero. It will be zero for x = 0.
The asymptotes are x=-5, x=5; the zero is x=0.
<span>At a corner gas station, the revenue R varies directly with the number g of gallons of gasoline sold. If the revenue is $44.50 when the number of gallons sold is 10, find a linear equation that relates revenue R to the number g of gallons of gasoline. Then find the revenue R when the number of gallons of gasoline sold is 15.5.
Solution:
As the question mentioned the direct relationship between the quantities, hence
10 gallons of gasoline sold = $44.50
15.5 gallons of gasoline sold = $x
by cross multiplication, we get that
10x = 15.5 * 44.50
which implies that
x = 68.975
Thus by $</span>68.975 revenue is obtained by selling 15.5 gallons of gasoline.
Answer:
x = -1/2
Step-by-step explanation:
4(x + 3) = 9x + 16 + 3x
Distribute the 4
4x +12 = 9x+16+3x
Combine like terms
4x+12 = 12x+16
Subtract 4x
4x-4x+12 = 12x-4x+16
12 = 8x+16
Subtract 16
12-16 = 8x+16-16
-4 =8x
Divide by 8
-4/8 =8x/8
-1/2 =x
Answer:
13 bags
Step-by-step explanation:
1: If he has 6 3/4 lbs to start with, this is 6.75 lbs, as 3/4 = 0.75.
2: He wants the new bags to be 1/2 lb, which is 0.5 lbs.
3: If we divide 6.75 by 0.5, we get the exact number of bags he could have - 13.5.
4: However, the bags must be full, so we have to disregard that extra 0.5 bags, and say he can completely fill 13 bags.
Hope this helps! Let me know if you have any questions :)
