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3 years ago

Find the value(s) of B in the following function, H, if H is continuous over all real numbers.

Mathematics

1 answer:

Nataly_w [17]3 years ago

5 0

Choose b so that the function is all one piece so to speak, for whatever reason you didn't provide the domain restrictions so it can't be solved because parameters aren't stated. Otherwise choose b so that there are no holes

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What's the solution to 3x – 6 < 3x + 13? A. x > 5 B. There are no solutions. C. There are infinitely many solutions. D. x

erma4kov [3.2K]

Answer:

C. There are infinitely many solutions.

Step-by-step explanation:

3x – 6 < 3x + 13

Subtract 3x from each side

-6 < -13

This inequality is always true.

There are infinitely many solutions.

8 0

3 years ago

Which of the points A(−6, 2), B(0, 0), C(4, −2), D(−12, 6), E(−10, 10) belong to the graph of direct variation y=− 1 2 x?

vovangra [49]

ANSWER

B(0, 0),

EXPLANATION

The given points are A(−6, 2), B(0, 0), C(4, −2), D(−12, 6), E(−10, 10).

The equation of the direction variation is

$y = - 12x$

The point that belongs the graph of the direct variation must satisfy the variation equation.

Note that the graph of direct variation equation passes through the origin therefore the point (0,0) satisfies it.

0=-12(0)

0=0

This is true

The other points do not satisfy this variation equation, hence they do not lie on its graph

5 0

3 years ago

The number 3.14 is a rounded value of the mathematical quantity pie. If you replace 3.14 with pie, what is the exact formula for

Oksana_A [137]

Answer:

2pier is the formula for circumference

Step-by-step explanation:

7 0

2 years ago

Frank brought some milk home from the dairy farm. He was able to pour 12 glasses of milk. Each glass held 1/2 pint of milk.

olga2289 [7]

He brought home 6 pints of milk home
hope it helps

5 0

2 years ago

Determine the domain of the function (fog)(x) where f(x)=3x-1/x-4 and g(x)=x+1/x

Katarina [22]

Answer: (-∞,-1) ∪ (0,+∞)

Step-by-step explanation: The representation fog(x) is a representation of composite function, meaning one depends on the other.

In this case, fog(x) means:

fog(x) = f(g(x))

fog(x) = $3(x+\frac{1}{x} )-\frac{1}{x+\frac{1}{x} } -4$

$fog(x)=3x+\frac{3}{x} -\frac{1}{\frac{x^{2}+x}{x} } -4$

$fog(x)=3x+\frac{3}{x} -\frac{x}{x^{2}+x} -4$

$fog(x)=\frac{3x^{2}(x^{2}+x)+3(x^{2}+x)-x-4x(x^{2}+x)}{x(x^{2}+x)}$

$fog(x)=\frac{3x^{4}+3x^{3}+3x^{2}+3x-x-4x^{3}+4x^{2}}{x(x^{2}+x)}$

$fog(x)=\frac{3x^{4}-x^{3}-x^{2}+2x}{x(x^{2}+x)}$

This is the function fog(x).

The domain of a function is all the values the independent variable can assume.

For fog(x), denominator can be zero, so:

$x(x^{2}+x) \neq 0$

If x = 0, the function doesn't exist.

$x^{2}+x \neq0$

$x(x+1) \neq0$

$x+1\neq0$

$x\neq-1$

<u>Therefore, the domain of this function is: </u><u>-∞ < -1 or x > 0</u>

5 0

3 years ago