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3 years ago

The area of sandbox in park is represented by 2X^2-5x-3 find the dimensions of the sandbox in terms of

Mathematics

1 answer:

lora16 [44]3 years ago

6 0

Answer:

The dimension of the sandbox is (2x+1) by (x - 3)

Step-by-step explanation:

It seems the complete question will be:

The area of sandbox in park is represented by 2X^2-5x-3 find the dimensions of the sandbox in terms of x.

Step-by-step explanation:

From the question, the given expression is 2X^2-5x-3. This can be rewritten as

$2x^{2} -5x-3$

If the area of the sandbox in park is represented by this expression, then the dimensions of the sandbox will be the product of the factors. To determine the factors, we will factorize the given quadratic expression.

Factorizing the expression $2x^{2} -5x-3$ , we get

$2x^{2} -6x+x-3$

$2x(x-3)+1(x-3)$

$(2x+1)(x-3)$

Hence, the dimension of the sandbox is (2x+1) by (x - 3)

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3 years ago

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3 years ago

on the football team, two out of every seven players are seniors. if the team has 84 players, how many are not seniors.

zaharov [31]

There are 60 players on football team that are not seniors.

Step-by-step explanation:

<u>Method 1:</u>

Given

Total students = 84

Also given that

2 out of 7 are seniors

Which is 2/7

So in order to find the total number of seniors we will multiply the whole number of students to 2/7

$Senior\ students = \frac{2}{7} * 84\\= 24$

So there are 24 seniors on the football team.

Players that are not seniors = 84 - 24 = 60

There are 60 players who are not seniors.

<u>Method 2:</u>

We can divide the total number by 7, to get how many sets of 7 players will be there

= 84/7 = 12

Now,

Multiplying 12 with 2 will give us the number of seniors in football team.

12*2 = 24 seniors

So,

Not seniors =84-24 = 60

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