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Nostrana [21]
3 years ago
11

The product of 2 consecutive odd integers is 1 less than 4 times their sum. A quadratic function models this situation. What is

the domain of the situation?
Mathematics
1 answer:
7nadin3 [17]3 years ago
3 0
First, you must let x and (x+2) be a consecutive odd integers.
So their product will be x(x + 2)
And their sum will be 2x+2
Therefore,
x(x + 2)  = 4(2x + 2) -1
Domain will be an odd integer.

I hope my answer helped you in some ways.
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A firm manufactured 1000 Tv sets during its first yeae the total firns production during 10 years of operation is 29035 sets If
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Answer: the increase each year is 423 tv sets

Step-by-step explanation:

The formula for determining the sum of n terms of an arithmetic sequence is expressed as

Sn = n/2[2a + (n - 1)d]

Where

n represents the number of terms in the arithmetic sequence.

d represents the common difference of the terms in the arithmetic sequence.

a represents the first term of the arithmetic sequence.

From the information given,

n = 10 years

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S10 = 29035

We want to determine d which is the amount by which the production increased each year. Therefore, the sum of the first 10 years would be

29035 = 10/2[2 × 1000 + (10 - 1)d]

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The square root of a negative number, such as StartRoot negative 144 EndRoot, is undefined. Explain why the square root of –x, S
IRINA_888 [86]

Answer:

see the explanation

Step-by-step explanation:

we have

f(x)=\sqrt{-x}

we know that

The radicand of the function cannot be a negative number

so

-x\geq 0

Solve for x

Multiply by -1 both sides

x\leq 0

The domain of the function f(x) is the interval -----> (-∞, 0]

The domain is all real numbers less than or equal to zero

The range of the function f(x) is the interval ----> [0,∞)

The range is all real numbers greater than or equal to zero

<em>Example</em>

For x=144

144\leq 0 ----> is not true

This value of x not satisfy the domain

substitute

f(x)=\sqrt{-144} ----> this value is undefined

For x=-144

-144\leq 0 ----> is true

This value of x satisfy the domain

substitute

f(x)=\sqrt{-(-144)}

f(x)=\sqrt{144}----> this value is defined

therefore

The function will be undefined for all those values of x that do not belong to the interval of the domain of the function

6 0
2 years ago
Read 2 more answers
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