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torisob [31]
3 years ago
8

If a(x)=3x+1 and b(x)=

" alt=" \sqrt{x - 4} " align="absmiddle" class="latex-formula">
what is the domain of (b○a)(x)?​
Mathematics
1 answer:
ipn [44]3 years ago
7 0
Answer: Domain: {x | x ≥ 1}

Explanation: First, we must write the equation for (b ° a)(x).

Write b(x).

b(x) = √(x - 4)

Substitute x in b(x) for a(x) to get (b ° a)(x).

(b ° a)(x) = √(3x + 1 - 4)

Simplify the right side of the equation.

(b ° a)(x) = √(3x - 3)

To find the domain, write this function as an inequality greater than or equal to 0.

√(3x - 3) ≥ 0

Raise both sides to the power of 2.

3x - 3 ≥ 0

Add 3 to both sides.

3x ≥ 3

Divide both sides by three.

x ≥ 1

Write this inequality as your domain in set notation.

Domain: {x | x ≥ 1}
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Answer:

1/6

1/12

1/2

Step-by-step explanation:

There are three possible outcomes in the left spinner, and four possible outcomes in the right spinner.  So there are a total of 3×4=12 possible combinations.  We can show that by making a grid:

\left[\begin{array}{cccc}&R&B&G\\R&RR&BR&GR\\B&BR&BB&BG\\P&PR&BP&GP\\Y&RY&BY&GY\end{array}\right]

Of these 12 combinations, 2 show both spinners landing on the same color (RR and BB).  So the probability is 2/12 = 1/6.

There is only 1 outcome in which the first spinner lands on R <em>and</em> the second spinner lands on P (PR), so the probability is 1/12.

There are 6 outcomes in which the first spinner lands on R <em>or</em> the second spinner lands on P (RR, BR, PR, RY, BP, GP).  So the probability is 6/12 = 1/2.

7 0
3 years ago
Ed and Maria’s gross monthly income is $3,700 and monthly debt is $2,500. What is their debt-to-income ratio to the nearest perc
Shkiper50 [21]
I am prettty sure it is b
5 0
3 years ago
PLEASE HELP!! ITS A TEST!!
irakobra [83]

Answer:

40°

Step-by-step explanation:

A parallelogram is a quadrilateral (a four-sided object) with parallel sides

Some of the characteristics of a parallelogram includes:

1. Opposite sides and angles are congruent.

2. Opposite angels are congruent  

3. Consecutive angles are supplementary  

4. The diagonals bisect each other

Angle DBC = ABD = 35 (alternate angles are equal)

Angle ADB = 180 - 35 - 105 = 40

I subtracted from 180 because sum of angles in a triangle is equal to 180

3 0
2 years ago
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Answer:

1

Step-by-step explanation:

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djyliett [7]
The population will be less that 170 in 4 years
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Read 2 more answers
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