If f (x) = StartRoot one-half x minus 10 EndRoot + 3, which inequality can be used to find the domain of f(x)?

Mathematics

2 answers:

strojnjashka [21]3 years ago

7 0

$\left(\frac{1}{2}\right) x-10+3 \geq 0$ is the inequality that can be used to find the domain of given f(x).

Step-by-step explanation:

For a square root function given by $f(x)=\sqrt{a(x)}$ , to have real values, the radicand x must be positive or equal to zero. So, domain for f(x) would be,

$a x \geq 0$

Given:

$f(x)=\sqrt{\left(\frac{1}{2}\right) x-10}+3$

In the given expression, under the square root, in place of ‘x’ presents as below and so

$\left(\frac{1}{2}\right) x-10+3 \geq 0$

The inequality depends on the true form of the given term, so it should be,

$\left(\frac{1}{2}\right) x-10+3 \geq 0$

velikii [3]3 years ago

6 0

Answer:

the answer is C

Step-by-step explanation:

have a great day

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You roll a 6-sided die.

Lerok [7]

Answer:

$\huge\boxed{\text{P(not factor of 35) = } \frac{2}{3}}$

Step-by-step explanation:

We can use basic probability to find the probability that this roll is not a factor of 35.

First off, we know that with a six sided die there are 6 possible things we can roll.

1, 2, 3, 4, 5, or 6

Now, what are the factors of 35? The factors of 35 will be any whole number that can be multiplied by another whole number to get 35.

We know $1 \cdot 35 = 35$ , so two factors are 1 and 35.
We know $5 \cdot 7 = 35$ , so two factors are 5 and 7.

Therefore, the factors of 35 are 1, 5, 7, 35.

Both 5 and 7 are inside the range of 1-6. So the probability of rolling a side that's a factor of 35 will be $\frac{2}{6} = \frac{1}{3}$ since there are two factors and 6 possible options.