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Oduvanchick [21]
3 years ago
5

On the grid, draw a rotation of triangle ABC, a translation of triangle ABC, and a reflection of triangle ABC. Describe clearly

how each was done.

Mathematics
1 answer:
Ulleksa [173]3 years ago
6 0

Answer:

Step-by-step explanation:

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If a(x) = 3x + 1 and b(x)= squareroot x-4, what is the domain of (b*a)(x)?
oksano4ka [1.4K]

\boxed{ \ x \geq 1 \ } or can be written as \boxed{ \ [1, \infty) \ }

<h3>Further explanation</h3>

This is a question about the composition of functions and how to get a domain function.

Given \boxed{ \ a(x) = 3x + 1 \ } and \boxed{ \ b(x) = \sqrt{x - 4} \ }.

We will form (b o a)(x) and then determine the domain.

<u>Step-1</u>

\boxed{ \ (b \circ a)(x) = b(a(x)) \ }

Replace each appearance of x in b(x) with \boxed{ \ a(x) = 3x + 1 \ }.

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

Thus, \boxed{ \ (b \circ a)(x) = \sqrt{3x - 3} \ }

<u>Step-2</u>

To be defined, the value under the radical sign must not be negative. Therefore, the domain of (b \circ a)(x) = \sqrt{3x - 3} are processed as follows.

\boxed{ \ 3x - 3 \geq 0 \ }

Both sides added by 3.

\boxed{ \ 3x \geq 3 \ }

Both sides divided by 3.

\boxed{ \ x\geq 1 \ }

Thus, the domain of (b \circ a)(x) = \sqrt{3x - 3} is \boxed{ \ x \geq 1 \ } or can be written as \boxed{ \ [1, \infty) \ }

<h3>Learn more</h3>
  1. If f(x) = x² – 2x and g(x) = 6x + 4, for which value of x does (f o g)(x) = 0? brainly.com/question/1774827
  2. Solve for the value of the function composition brainly.com/question/2142762
  3. Look for rotation rules in the transformation brainly.com/question/2992432

Keywords: composition of function, if a(x) = 3x + 1, and, b(x) = √(x-4), what is the domain of, (b o a)(x), b(a(x)), defined, the value, under the radical sign, must not be negative,

4 0
4 years ago
Read 2 more answers
17) 10(x + 3) -(-9x - 4) = x-5 +3
navik [9.2K]

Answer:

-2

Step-by-step explanation:

10x+30+9x+4=x-5+3

19x+34=x-2

18x=-36

x=-2

5 0
3 years ago
The asking price for homes on the real estate market in Baltimore has a mean value of​ $286,455 and a standard deviation of​ $11
Stella [2.4K]

Answer:

c)

Step-by-step explanation:

The asking price in Baltimore has a mean value of $286,455 and a standard deviation of $11,200; this means that most houses prices fall between $275,255 and $297,655.

Similarly, the mean value in Denver is $188,468 and a standard deviation of $8,230; most houses prices fall between $180,238 and $196,698.

The problem tells us that one home sold in each city where the asking price for each home was $193,000. In the case of Denver this would be expected (values usually fall between 180,000 and 196500 approximately).

However, the house in Baltimore is relatively farther from the mean than the one in Denver because the price is more than one standard deviation away from the mean.

Therefore, the correct answer is C. The house in Baltimore is relatively farther from the mean than the house in Denver.

6 0
3 years ago
alex bakes $24$ apple, blueberry, and cherry pies. The ratio of apple to blueberry to cherry pies is $1:4:3$. How many cherry pi
Kitty [74]

Answer:

Alex baked 9 cherry pies

Step-by-step explanation:

apple : blueberry : cherry = 1:4:3

apple + blueberry + cherry = 24

1 part: 24 / ( 1+4+3) = 24 / 8 = 3

** Cherry has 3 parts: 3 x 3 = 9

check: apple = 3 x 1 = 3

blueberry: 3 x 4 = 12

12 + 3 + 9 = 24

6 0
3 years ago
Which of the following equations will yield the volume of a triangular prism?
umka2103 [35]

Answer:

2b +pH

Step-by-step explanation:

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7 0
3 years ago
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