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aleksklad [387]
3 years ago
15

What is the domain of the rational function, f of x equals quantity x minus 5 over quantity 2 times x minus 3

Mathematics
1 answer:
liq [111]3 years ago
7 0

Answer:

<u>Domain = R - {3/2}</u>

Step-by-step explanation:

The domain of a rational function consists of all the real numbers x except those for which the denominator is 0

The given function is :

f(x) = \frac{x-5}{2x-3}

We need to find the zeros of the denominator

∴ 2x - 3 = 0    ⇒ add 3 to both sides

∴ 2x = 3          ⇒ divide both side by 2

∴ x = 3/2        

The domain will be all real number except the zeros of the denominator.

So, Domain = R - {3/2}

Also, see the attached figure that represents the given function.

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Twelve more than a number is less than four.
Alenkasestr [34]

Answer:

n+12 <4

Step-by-step explanation:

4 0
2 years ago
Jenny bought a 5 notebooks and 2 pencils, and the total was 9 dollars.
weeeeeb [17]
You would solve this with simultaneous equations, so if we write it as:
5n + 2p = 9
3n + 2p = 6
(subtract)
2n = 3
÷ 2
notebooks = 1.5

Now you would substitute it in:
(3 × 1.5) + 2p = 6
4.5 + 2p = 6
- 4.5
2p = 1.5
÷ 2
pens = 0.75

So your final answer is notebooks are $1.50 and pens are $0.75, I hope this helps!
6 0
3 years ago
Daniel hosted a party in which 15 to 45 people could attend and he charged $7 per person for admission. What is the range of adm
irina [24]

Answer:

c. [105,315]

Step-by-step explanation:

6 0
3 years ago
The volume of a pyramid is 37cm3. Its base area is 6cm2. What is its height? Round your answer to the nearest tenth of a unit.
STALIN [3.7K]

Answer 3.1

Here's the formula:

V=\frac{lwh}{3}

H=3\frac{V}{lw}

3 ·  \frac{37}{6x6} ≈ 3.08333

rounded to : 3.1

(P.S. I also Used a calculator)

7 0
2 years ago
given the following information about two loaded die, what is the p(5) on die 2? die 1p(1) = 0.5 p(4) = 0.25 p(6) = 0.25 die 2p(
bagirrra123 [75]

Answer:

0.45

Step-by-step explanation:

Die 1 is loaded so that only 1, 4, and 6 are possible.

P(1) + P(4) + P(6) = 0.5 + 0.25 + 0.25 = 1

Similarly, Die 2 is loaded so that only 2, 3, and 5 are possible.

P(2) + P(3) + P(5) = 1

0.3 + 0.25 + P(5) = 1

P(5) = 0.45

3 0
2 years ago
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