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Feliz [49]
3 years ago
6

State the domain and range of the following function.

Mathematics
1 answer:
insens350 [35]3 years ago
6 0
Hold on need you omgg disnwkxjdjcjdjxuj ex djdusijddj
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Contains the point (-1, 2) and is parallel to<br> x – 2y = -3
ivanzaharov [21]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange x - 2y = - 3 into this form

Subtract x from both sides

- 2y = - x - 3 ( divide all terms by - 2 )

y = \frac{1}{2} x + \frac{3}{2} ← in slope- intercept form

with m = \frac{1}{2}

• Parallel lines have equal slopes, thus

y = \frac{1}{2} x + c ← is the partial equation

To find c substitute (- 1, 2) into the partial equation

2 = - \frac{1}{2} + c ⇒ c = 2 + \frac{1}{2} = \frac{5}{2}

y = \frac{1}{2} x + \frac{5}{2} ← in slope- intercept form

Multiply through by 2

2y = x + 5 ( subtract 2y from both sides )

0 = x - 2y + 5 ( subtract 5 from both sides )

- 5 = x - 2y, thus

x - 2y = - 5 ← in standard form

4 0
3 years ago
What is the domain of the rational function, f of x equals quantity x minus 5 over quantity 2 times x minus 3
liq [111]

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.

7 0
3 years ago
Identify the frequency of the graph
olya-2409 [2.1K]

ANSWER

\frac{1}{2}

EXPLANATION

The frequency of a wave function refers to the number of times the graph repeats its cycle within the interval [0,2π]

We can observe explicitly from the graph that the frequency is half.

The period of the given function is 4π

\frac{2\pi}{b} = 4\pi

b =  \frac{2\pi}{4\pi}  =  \frac{1}{2}

Hence the frequency is half.

4 0
3 years ago
Sheri surveyed eighty students and then generated three random samples of twenty-five student responses. The means of the sample
Vesnalui [34]

Answer:

Where is the table cant help unless shown

Step-by-step explanation:

6 0
2 years ago
A​ city's mean minimum daily temperature in February is 28°F. Suppose the standard deviation of the minimum temperature in Febru
DIA [1.3K]

Answer:

i think you might have to round or something

Step-by-step explanation:

6 0
3 years ago
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