MATHEMATICS HIGH SCHOOL

1 inch
7
1
minute
14

Answers

Answer 1

Answer:

Answer:

2 inches per minute

Step-by-step explanation:

(1/7 inch) / (1/14 minute) =
(1/7 * 14) inch / minute =
2 inch / minute

Answer 2

Answer:

Answer:

2 in/min

Step-by-step explanation:

=> (1/7)/(1/14)

=> 1/7 × 14/1

=> 14/7

=> 2 in/min

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Factor the expression 9x^2 -49

Answers

9x² - 49
3x × 3x = 9x²
-7 × 7 = -49

(3x - 7)(3x + 7)

(35n 3 - 30n 2 + 25n) ÷ (-5n)

Answers

(35n 3-30n 2+25n)÷(-5n)
:35n×3-30n×2+25n÷(-5n)
(35n×3)-(30n×2)+25n÷(-5n) 105n-60n+{25n÷(-5n)}
105n-60n+(-5n)
45n+(-5n)
40n

Can someone help me with 7-9

Answers

Answer:

Warning:

I think that these are correct, but don't make this your official source :)

7. B

8. D

9. B

I hope this helps :)

Whats the vertex form of y=x^2-20x+15

Answers

this looks like a parabola so:
y=x^2 - 20x + 15 --> x^2 - 20x +15=y
(x^2 -20x)=y - 15 --> (x - 10)^2=y - 15 +100 ( used complete the square)
(x - 10)^2=y + 85

A catering service offers 12 appetizers, 9 main courses, and 7 desserts. A banquet chairperson is to select 8 appetizers, 8 main courses, and 6 desserts for a banquet. In how many ways can this be done?

Answers

$12-appetizers, \ 9- main\ courses, \ 7\ desserts\n \n selection:\ 8\ appetizers,\ 8\ main\ courses, 6\ desserts\n\na=the\ number\ of\ selection\ of\ appetizers:\n \n{12 \choose 8}= (12!)/(8!\cdot (12-8)!) = (12\cdot11\cdot10\cdot9\cdot8!)/(8!\cdot4\cdot3\cdot2) =11\cdot5\cdot9=495\n \nc=the\ number\ of\ selection\ of\ main\ courses:\n \n{9 \choose 8}= (9!)/(8!\cdot (9-8)!) = (9\cdot8!)/(8!\cdot 1) =9$

$d=the\ number\ of\ selection\ of\ desserts:\n \n{7 \choose 6}= (7!)/(6!\cdot (7-6)!) = (7\cdot6!)/(6!\cdot 1) =7\n \nthe\ number\ of\ selection\ sets\ the\ banquet:\n \na\cdot c\cdot d=495\cdot9\cdot7=31185$

[(12! / (8!*4!) ]* [9! / (8!*1!) ] * [ 7!/ (6!*1!)] = ( 12 * 11 * 10 * 9 / 4 * 3 * 2 * 1) * 9 * 7 = 45 * 11 * 9 * 7 = 31185 ways

Solve –5√ x = –15.

A. x = –7
B. x = –9
C. x = 7
D. x = 9