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3 years ago

Factor the trinomial: 6x2 + 7x - 20

Mathematics

2 answers:

siniylev [52]3 years ago

8 0

The correct answer is D. (3x - 4) (2x + 5)
Here's why:
6x2 + 15x - 8x - 20=
6x2 + 7x - 20

Veronika [31]3 years ago

8 0

I hope this helps you

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How many 5-member chess teams can be chosen from 15 interested players? Consider only the members selected, not their board posi

ryzh [129]

Answer:

3003 number of 5-member chess teams can be chosen from 15 interested players.

Step-by-step explanation:

Given:

Number of the interested players = 15

To Find:

Number of 5-member chess teams that can be chosen = ?

Solution:

Combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter. To calculate combinations, we will use the formula $nCr = \frac{n!}{r!(n - r)!}$

where

n represents the total number of items,

r represents the number of items being chosen at a time.

Now we have n = 15 and r = 5

Substituting the values,

$15C_5 = \frac{15!}{5!(15- 5)!}$

$15C_5 = \frac{15!}{5!(10)!}$

$15C_5 = \frac{15\times \times 14 \times 13 \times 12 \times 11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 }{5 \times 4 \times 3 \times 2 \times 1(10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1)}$

$15C_5 = \frac{15\times \times 14 \times 13 \times 12 \times 11}{(5 \times 4 \times 3 \times 2 \times 1)}$

$15C_5 = \frac{360360}{120}$

$15C_5 = 3003$

7 0

3 years ago

If m∠2 = 23° and m∠3 = 68°, what is m∠1

Harrizon [31]

Answer:

if this is a triangle it is 89º

Step-by-step explanation:

because all the angles in a triangle add up to 180

5 0

2 years ago

14/2 three equivalent ratios

Anna71 [15]

Answer:

Three equivalent ratios of $\frac{14}{2}$ are $\frac{7}{1}$ , $\frac{21}{3}$ and $\frac{28}{8}$ .

Step-by-step explanation:

We are given a fraction $\frac{14}{2}$ .

We need to find the three equivalent ratios/fractions of $\frac{14}{2}$ .

The common factor of 14 and 2 is 2.

So, dividing top and bottom by 2, we get

14÷2 = 7 and 2÷2 that is $\frac{7}{1}$ .

Multiplying $\frac{7}{1}$ fraction by a common number 3 in top and bottom, we get

7 × 3 = 21

1 × 3 = 6

So, we get another equivalent fraction $\frac{21}{6}$ .

Multiplying $\frac{7}{1}$ fraction by a common number 3 in top and bottom, we get

7 × 4 = 28

1 × 4 = 4

So, we get another equivalent fraction $\frac{28}{4}$ .

Therefore, three equivalent ratios of $\frac{14}{2}$ are $\frac{7}{1}$ , $\frac{21}{3}$ and $\frac{28}{4}$ .

6 0

3 years ago

Evaluate the expression if a=2,b=-3,C=-1, and D=4 -2(b^2-5c)

Alenkasestr [34]

$\qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star$

Equivalent value = -28

$\textsf{ \underline{\underline{Steps to solve the problem} }:}$

$\qquad❖ \: \sf \: - 2( {b}^{2} - 5c)$

( put the values )

$\qquad❖ \: \sf \: - 2 \{( - 3) {}^{2} - 5( - 1) \}$

$\qquad❖ \: \sf \: - 2(9 - (- 5))$

$\qquad❖ \: \sf \: - 2(9 + 5)$

$\qquad❖ \: \sf \: - 2 \times 14$

$\qquad❖ \: \sf \: - 28$

$\qquad \large \sf {Conclusion} :$

-2(b² - 5c) = -28

7 0

1 year ago

Find the perimeter and area of a rectangle with a length of 2 meters and a width of 3 meters

klasskru [66]

Let L and W be the length and width of the rectangle, respectively. To solve for the perimeter (P) and area (A), use the following formula:

P = 2 x (L + W)

A = L x W

Substituting the given value for the dimensions,

P = 2 x (2m + 3m) = 10 m

A = 2m x 3m = 6m^2

Therefore, the perimeter is 10m and the area is 6m^2.

4 0

2 years ago