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lakkis [162]
3 years ago
12

Find the value of x. Round to the nearest tenth.

Mathematics
1 answer:
Vladimir [108]3 years ago
5 0

Answer:

x=13.584

Step-by-step explanation:

\frac{x}{ \sin(51) }  =  \frac{11}{ \sin(39) }  \\

x = 13.584

180 - 39 - 90 = 51

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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
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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
3 years ago
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Kobotan [32]
The point-slope form: y-y_0=m(x-x_0)

m = -1; (2; 4) \to x_0=2;\ y_0=4

subtitute

y - 2 = -1(x - 4)
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The numerical value of the variance a. is negative if the mean is negative. b. is always larger than the numerical value of the
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Answer:

Step-by-step explanation:

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Std deviation is the square root of variances.  This will thus be less than variance if variance >1 other wise std deviation will be bigger than variance.

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What is the range of the function of graph?
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The correct answer is "all real numbers greater than or equal to 2".

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