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3 years ago

Identify the restrictions on the domain of f(x) = quantity x minus 3 over quantity x plus 5. x ≠ 5 x ≠ −5 x ≠ 3 x ≠ −3

Mathematics

1 answer:

Fantom [35]3 years ago

6 0

Answer:

x ≠ - 5

Step-by-step explanation:

Given

f(x) = $\frac{x-3}{x+5}$

The denominator of f(x) cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the value that x cannot be.

solve : x + 5 = 0 ⇒ x = - 5 ← excluded value

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If each commercial lasts 1/2 minute how many commercials are there in a 4-hour program?

Ivenika [448]

Answer:

if each commercial lasts 1/2 minute how many commercials are there in a 4-hour program?

480

Step-by-step explanation:

4 hours= 240 mins

240/0.5=480

6 0

3 years ago

Find the greatest common factor of 10, 30 and 45

lawyer [7]

Answer:

The greatest common factor is 5.

Step-by-step explanation:

The prime factorisation of 10, 30 and 45 is,

10 = 2 × 5

30 = 2 × 3 × 5

45 = 3 × 3 × 5

The prime factor '5' is common in the factorisation of 10, 30 and 45

So, the greatest common factor of 10, 30 and 45 is 5.

5 0

3 years ago

A random sample of 41 cars in the drive-thru of a popular fast food restaurant revealed an average bill of $19.55 per car. The p

Rashid [163]

Answer:

$19.55\pm2.145$

Step-by-step explanation:

We use the equation $\bar x\pm z^*\sigma/\sqrt n$ , where $\bar x=19.55$ , $\sigma=6.33$ , $n=41$ , and $z^*=2.17$ . We obtain $z^*$ from the z-score of a 0.97 confidence level.

8 0

2 years ago

Two variables are correlated with r = -0.23. Which description best describes the strength and direction of the association betw

tatuchka [14]

Answer is C weak negavite

weak, because as the value became smaller that 1 the correlation weakens. negavite because it is a negative value (-0.23)

3 0

3 years ago

How far is football field to the park? *show your work*

nalin [4]

Answer:

10.95 miles

Step-by-step explanation:

$a = Park\ to\ Home\\\\b = Park\ to\ Football\ Field \\\\t_{h} = Park\ to\ Library\\\\t_{h} = \sqrt{a^{2} - 2^{2} } \\\\t_{h} = \sqrt{b^{2} - 10^{2} } \\\\b = \sqrt{12^{2} - a^{2} } \\\\-----------\\\\a^{2} - 2^{2} = 12^{2} - a^{2} - 10^{2} \\\\2a^{2} = 144 - 100 + 4 = 48 \\\\a = \sqrt{24} = 4.9\ miles \\\\-----------\\\\b = \sqrt{144 - 24} = \sqrt{120} = 10.95\ miles$

6 0

3 years ago