Answer:
14.67
Step-by-step explanation:
Mr. James will solve the equation 150x = 2200 for x in one step. Which proportion is the MOST appropriate step for Mr. James to use?
We have the Equation
150x = 2200
Divide both sides by 150
150x/150 = 2200/150
x = 14.666666667
Approximately x= 14.67
Answer: Division property of equality
Step-by-step explanation:
0.12y-1=0.095-0.9
or, 0.12y=0.095-0.9+1
or, 0.12y=0.195
or, y = 0.195/0.12 = 195/120=1.625
The answer will be 1.625
Answer:
First, we know that he spent rs500 plus rs60 in the whole process, then the total cost is:
C = rs500 + rs60 = rs560
Now he sells the oranges in packs of 12, then if he has 120 oranges, the total number of packs that he can sell is:
120/12 = 10
So he has 10 packs of 12 oranges.
And he sells each one for rs58.8
Then if he sells the 10 packs, the total revenue is:
R = 10*(rs58.8) = rs588
The profit is the difference between the revenue and the cost, here the profit is:
P = R - C = rs588 - rs560 = rs28
And the profit percentage is calculated as follows:
(P/C)*100%
Where P = profit and C = cost, then we have:
(rs28/rs560)*100% = 5%
Answer:
1. shifts the graph right 2 units
2. y = -2(x -3)² +7
Step-by-step explanation:
1) Replacing x with x-h in any function shifts the graph h units to the right. Here, you have replaced x with (x-2), so the graph will be shifted 2 units to the right.
__
3) The vertex form of the equation of a parabola is ...
y = a(x -h)² +k . . . . . . . . for vertex (h, k) and vertical scale factor 'a'
Here, the vertex is (h, k) = (3, 7), and the parabola opens downward. This tells us the sign of 'a' is negative.
The graph is not so clear that it is easy to read the value of 'a' directly from it, but there are several clues.
The zeros of the above function are found at h±√(k/a). This graph shows the zeros to be located such that √(7/a) is slightly less than 2. This means the magnitude of 'a' will be slightly more than 7/2² = 1.75. The y-intercept of the function is 7-9a. It is less than -7, but probably more than -14. This puts bounds on 'a':
-14 < 7-9a < -7
-21/9 < -a < -14/9 ⇒ -2.33 < -a < -1.56
If we assume that 'a' is an integer value, we have bounded its magnitude as being between 1.75 and 2.33, so a=-2 is a reasonable choice.
The equation of the graph may be ...
y = -2(x -3)² +7