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3 years ago

What is a possible solution to x ≥ −2?

Mathematics

1 answer:

lana66690 [7]3 years ago

7 0

Answer:

Step-by-step explanation:

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How many ways are there to choose a soccer team consisting of 3 forwards, 4 midfield players, and 3 defensive players, if the pl

klio [65]

Using the combination formula, it is found that there are 47,040 ways to form a soccer team.

<h3>What is the combination formula?</h3>

Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.

$^mC_k = \dfrac{m!}{k! \times (m-k)!}$

A soccer team consisting of 3 forwards, 4 midfield players, and 3 defensive players, if the players are chosen from 8 forwards, 6 midfield players and 8 defensive players

Since they are independent of each other, the total number of combinations will be;

$^mC_k = \dfrac{8!}{3! \times (5)!} \times \dfrac{6!}{4! \times (2)!} \times \dfrac{8!}{3! \times (5)!} \\\\^mC_k =47,040$

Hence, There are 47,040 ways to form a soccer team.

More can be learned about the combination at brainly.com/question/25821700

#SPJ1

7 0

2 years ago

To get from your house to class you walk east 579 feet. after class you walk south west 965 feet to meet your friends at lunch.

svlad2 [7]

You formed a right-angled triangle. I drew this out at first, but you can double check it as 579² + 772² = 965², which is the rule for a right-angled triangle. I hope this helps!

3 0

3 years ago

What is the x-intercept?

AlekseyPX

Answer: x-intercept = -94, -74, and -54

5 0

3 years ago

Look at the Screenshot

Genrish500 [490]

The value for m is -5

Putting the x⁵ on the denominator is just a way to get rid of the negative exponent.

4 0

3 years ago

The number y of deer in a county after x years can be modeled by y=0.75x^2 + 10.5x + 1300. When were there about 2000 deer? Roun

Lemur [1.5K]

Answer:

24 years

Step-by-step explanation:

We are told that the model of number of deers is;

y = 0.75x² + 10.5x + 1300

Where;

y represents number of deers

x represents number of years

Now, we want to find how many years it will take to get to 2000 deers.

Thus;

2000 = 0.75x² + 10.5x + 1300

0.75x² + 10.5x + 1300 - 2000 = 0

0.75x² + 10.5x - 700 = 0

Using quadratic formula, we have;

x = [-b ± √(b² - 4ac)]/2a

x = [-10.5 ± √(10.5²- (4*0.75*-700)]/(2*0.75)

x = [-10.5 ± √(110.25 + 2100)]/(1.5)

x = [-10.5 ± √2210.25]/(1.5)

x ≈ -38 or 24

Number of years can't be negative, so we will take the positive value.

So, x = 24 years

3 0

3 years ago