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Vaselesa [24]
4 years ago
7

You have checked out b books from the library, where b is a number greater than 5. You plan to read three of the books and retur

n them at the end of this week. In how many ways can you pick the books you will read first, second, and third? A. b3 ways B. (b3 - 3b2 + 2b) ways C. (b3 - 9b2 + 27b - 27) ways D. (5b - 3) ways
Mathematics
1 answer:
lakkis [162]4 years ago
4 0
It should be either B. or D. ! I hope it helps!!!!!
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A triangle has side lengths of 8 cm, 9 cm, and 14 cm. classify it as acute, obtuse, or right.
tiny-mole [99]
The triangle is an acute triangle.
4 0
4 years ago
Read 2 more answers
Cyndee is taking her siblings out for dessert. Ice cream, c, costs $4.00 per cone. Brownies, b, are $2.00 each. Water for everyo
GalinKa [24]

Answer:

The term that represent the amount of money she will spend on brownies is 2b

Step-by-step explanation:

Let

c ----> the number of cones

b ----> the number of brownies

we know that

The cost of desserts can be found using the expression

4c+2b+5

where

4c ----> is the term that represent the amount of money spend in cones

2b ----> is the term that represent the amount of money spend in brownies

5 ----> is the term that represent the amount of money spend in water

therefore

The term that represent the amount of money she will spend on brownies is 2b

That means ---> the number of brownies (b) multiplied by the cost of each brownie ($2)

5 0
3 years ago
FIND THE ANSWER............
juin [17]

Answer:

D

Step-by-step explanation:

The y- coordinate of M is the average of the y- coordinates of A and B

y - coordinate of M  = \frac{3+7}{2} = \frac{10}{2} = 5

8 0
3 years ago
Write an equation of an ellipse in standard form with the center at the origin and a height of 12 units and width of 19 units.
gladu [14]

Answer:

The equation of the ellipse in standard form is 4x²/361 + y²/36 = 1

Step-by-step explanation:

* Lets revise the equation of the ellipse

- The standard form of the equation of an ellipse with center (0 , 0 )  

  and major axis parallel to the x-axis is x²/a² + y²/b² = 1  

# a > b  

- The length of the major axis is 2a  

- The coordinates of the vertices are ( ± a , 0 )  

- The length of the minor axis is 2b  

- The coordinates of the co-vertices are ( 0 , ± b )  

- The coordinates of the foci are ( ± c , 0 ) , where c ² = a ² − b²  

* Lets solve the problem

∵ The center of the ellipse is (0 ,0)

∵ Its width is 19 units

∴ The length of the major axis is = 19

∴ 2a = 19 ⇒ divide both sides by 2

∴ a = 19/2 ⇒ ∴ a² = 361/4

∵ Its height is 12 units

∴ The length of the minor axis is = 12

∴ 2b = 12 ⇒ divide both sides by 2

∴ b = 12/2 = 6 ⇒ ∴ b² = 36

- Lets write the equation in standard form

∵ The equation is x²/a² + y²/b² = 1

∴ x²/(361/4) + y²/36 = 1 ⇒ simplify it

∴ 4x²/361 + y²/36 = 1

* The equation of the ellipse in standard form is 4x²/361 + y²/36 = 1

7 0
4 years ago
Binomial(−4x−6) and trinomial(−3x2+5x+6) are the factors of what polynomial? Question
Lilit [14]

Answer:

12x³ - 8x² - 54x - 36

Step-by-step explanation:

The polynomial is the product of the factors, that is

(- 4x - 6)(- 3x² + 5x + 6)

Each term in the second factor is multiplied by each term in the first factor, that is

- 4x(- 3x² + 5x + 6) - 6(- 3x² + 5x + 6) ← distribute both parenthesis

= 12x³ - 20x² - 24x + 18x² - 30x - 36 ← collect like terms

= 12x³ - 8x² - 54x - 36

8 0
3 years ago
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