All categories

3 years ago

What is the correct answer and why? Concise and simple explanation please!

Mathematics

1 answer:

rjkz [21]3 years ago

5 0

Answer:

(-∞, α)

Step-by-step explanation:

The domain is the set of all possible x-values that will make the function work.

f(x) will exist only if the radicand is positive.

Also, x cannot equal α, because f(α) = 1/√0 =1/0 = undefined. Thus, we must have

α - x > 0 or

x < α

The domain is x <α.

In interval notation, the domain is (-∞, α).

You might be interested in

List the integers from least to greatest: -22 , 0, 7 , -5, 3, -6, 10

Vladimir [108]

Answer:

-22,-6,-5,0,3,7,10

Step-by-step explanation:

It would be the highest negative integers in front, so going down, you'd reach 0. Then go up positive number 3,7,10.

3 0

3 years ago

What is 5/3 converted into a decimal?

stepan [7]

It would be, 1.66666667

6 0

3 years ago

This is a Differential Equations problem, I only need help on part 1 from question five. I need steps as well, thank you.

jolli1 [7]

Answer:

a) $y(t) = \sqrt{2t + 1 }$

b) 1.5 hours after thickness will be 2 inches.

Step-by-step explanation:

$\frac{dy}{dt} = \frac{1}{y} \\ \\ ydy = dt \\ \\ integrating \: both \: sides \\ \\ \int y \: dy = \int 1 \: dt \\ \\ \frac{ {y}^{2} }{2} = t + c \\ \\ {y}^{2} = 2t + 2c \\ \\ y (t)= \sqrt{2t + 2c} ...(1) \\ \\ a) \: \: \: plug \: t = 0 \: in \: (1) \\ \\ y (0)= \sqrt{2(0) +2 c} \\ \\ y (0)= \sqrt{0 +2 c} \\ \\ 1 = \sqrt{2c} \: \: ( \because \: y (0)=1) \\ \\ 2c = 1 \: \implies \: c = \frac{1}{2} \\ \\ plug \: c = \frac{1}{2} \: in \: (1) \\ \\ y(t) = \sqrt{2t + 2 \times \frac{1}{2} } \\ \\ \huge \: \red {y(t) = \sqrt{2t + 1 } } \\ \\b) \: \: plug \: y(t) = 2 \: in \: above \: equation \\ \\ 2 = \sqrt{2t + 1} \\ \\ 4 = 2t + 1 \: \\ (squaring \: both \: sides) \\ \\ 4 - 1 = 2t \\ \\ 2t = 3 \\ \\ t = \frac{3}{2} \\ \\ t = 1.5 \: hours \\$

6 0

2 years ago

If a kilowatt-hour of energy costs 75 cents, how much does it cost to leave a 40-watt light bulb on for the entire month of May

spin [16.1K]

May has 31 days
31 x 24 = 744 hours in may
744 x 40 = 29760 watt hours
29760 watt hours = 29.76 kwh
29.76 x 75 = 2232 cents
2232 cents = $22.32

8 0

3 years ago

What value of s makes the equation true?

azamat

Answer:

-17 =s

Step-by-step explanation:

-8s +4 = -7s +21

Add 8s to each side

-8s+8s +4 = -7s+8s +21

4 = s+21

Subtract 21 from each side

4-21 = s+21-21

-17 =s

5 0

3 years ago

Read 2 more answers