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inn [45]
3 years ago
10

A school bus has 25 seats, with 5 rows of 5 seats. 15 students from the first grade and 5 students from the second grade travel

in the bus. How many ways can the students be seated if all the first-grade students occupy the first 3 rows?
A. 25P20
B. 5P5 × 20P15
C. 15C15 × 10C5
D. 15P15 × 10P5
E. 15P15 × 10C5
Mathematics
2 answers:
VladimirAG [237]3 years ago
8 0

Answer:

b

Step-by-step explanation:


tatuchka [14]3 years ago
3 0

Answer:

B

Step-by-step explanation:

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TEA [102]

Answer:

A) y = (x + 3)² + 4

B) y = (x - 3)² + 2

C) y = (x - 1)² - 5

Step-by-step explanation:

2 units UP means that the vertex will be shifted from (-3 , 2) to (-3, (2 + 2) or (-3, 4)

As the y = (x + 3)² will still be zero at x = -3, we just need to change the "+ 2" to

"+ 4" to shift the curve upward by 2

y = (x + 3)² + 4

When we want to shift the curve to the right, we want the vertex to move from (-3, 2) to (3, 2)

This means that the term in parenthesis must be zero with our desired x value

(3 + C)² = 0

3 + C = 0

C = -3

y = (x - 3)² + 2

4 units right and 7 units down mean that the vertex is desired at (1, -5)

(1 + C)² = 0

C = -1

y =  (x - 1)² - 5

4 0
3 years ago
Mr. Capildeo's salary sfter a 5% increase was $6255 (a) calculage his salary if a 3% incrwae had been given instead (b) Calculat
n200080 [17]

Answer:

Original Salary: 5,957.14

Increase in 3%: 6,135.85

Step-by-step explanation:

So when something increases by x%, the new value is (100+x)% the original value. So 6255, is 105% the original value. This means to find the original value, we have to find the number that has 6255 as 105% of it's value. Whenever you try to find x% of a number, you multiply it by the decimal value of the percentage, which is found by dividing by 100. So to find x%, you do: o*\frac{x}{100} where o = original value, x=percent. In this case the percent is 105%, which when divided by 100 is 1.05. So this gives us the equation: o*1.05=6255 \implies o = \frac{6255}{1.05} = 5,957.14. This is his original salary. You need to do this process, do not make the mistake of subtracting 5% from 6255. This is because 5% of 6255 does not equal the 5% of the original value. 5% of 6255 should be greater than 5% of the original value, since the new value is an increase of 5%. So since we have his original salary, we can calculate the salary increase had it been 3%. to do this we multiply by 1.03 (103% divided by 100). This gives us the equation: 5,957.14*1.03=6,135.85

5 0
1 year ago
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