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Margarita [4]
2 years ago
7

If a(x) = 3x + 1 and (x)= x-4, what is the domain of (boa)(x)?

Mathematics
1 answer:
Ipatiy [6.2K]2 years ago
4 0

I am assuming you meant to write b(x) = x-4.

(b \circ a)(x)=b(a(x))=b(3x+1)=(3x+1)-4=\boxed{3x-3}

Since this is a linear function, the domain is all real numbers.

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Q3. If I = (P × R × T)/100, find T if I = 80 Rs, P = 400 Rs., R = 10 Rs. (2)
sukhopar [10]

9514 1404 393

Answer:

  T = 2

Step-by-step explanation:

Fill in the given numbers and solve for T.

  I = PRT/100

  80 = 400·10·T/100

  80 = 40T . . . . . . . . . . . . simplify

  80/40 = T = 2 . . . . . . . . divide by the coefficient of T

4 0
3 years ago
Read 2 more answers
Find the length of AB
Lady_Fox [76]

Hey there! :)

Answer:

arc AB = 2.5π in (in terms of pi) or ≈7.85 in. (pi = 3.14)

Step-by-step explanation:

Begin by finding the circumference of the circle. Use the formula:

C = 2rπ

C = 2(9)π

C = 18π.

Since ∠AQB equals 50°, set up a ratio to find the length of arc AB:

\frac{50}{360}  = \frac{x}{18\pi }

Cross multiply:

50 · 18π = 360x

900π = 360x

Divide both sides by 360:

x = 2.5π in, or ≈7.85 in.

5 0
3 years ago
State that dgree of the term -6x²y​
vladimir2022 [97]
I think it’s -6 but I would check with someone else too lol
3 0
3 years ago
A number is selected from the set (1, 2, 3, 5, 15, 21, 29, 38, 500). If equal elemental probabilities are assigned, what is
Katen [24]

Answer:

\frac{7}{9} OR 77.78%

Step-by-step explanation:

So, we first need to find out how many numbers fit the "less than 29 or odd" group.

This would be: 1, 2, 3, 5, 15, 21, and 29, which is a total of 7 numbers.

Next, we figure out the total amount of numbers in the population.

This would be: 1, 2, 3, 5, 15, 21, 29, 38, and 500, which is a total of 9 numbers.

Finally, we put the first number (7) over the total (9) = \frac{7}{9}

\frac{7}{9} is now able to be written in a percentage, if you need.

The probability is \frac{7}{9} OR 77.78%

5 0
3 years ago
The shaded sector of the circle shown above has an area of 18 pi square feet
Genrish500 [490]

Answer:

F

Step-by-step explanation:

Area of sector=pi*r^2*(theta/360) = pi*r^2*(45/360)

18*pi=pi*r^2*(1/8), r=12. Circumference is 24*pi

5 0
3 years ago
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