Which numbers represent the solutions to the inequality below? Check all that apply.

Is -5 a solution to the equation 6x + 5 + 8 + 2x ?

Karolina [17]

Answer:

Nope the answer would be -6.5

5 0

2 years ago

If an integer n has three unique prime divisors, then it follows that the largest prime divisor of n is less than or equal to cu

TiliK225 [7]

Answer:

False

Step-by-step explanation:

Lets call the three prime divisors of n p, q, and r, being r the largest, we know:

$n=q * p * r$

Now, if

$q * p < r$

then

$n < r * r = r^2$

So:

$\sqrt{n} < \sqrt{r^2} = r$

Also, for every natural greater than one, we know:

$\sqrt[3]{n}$

so

$\sqrt[3]{n}$

from which:

$\sqrt[3]{n} < r$

So, we see, this means the preposition is false, we can find a particular counterexample:

q=2

p=3

p*q = 6

We need to choose a prime greater than 6

r=7

n= 2 * 3 *7 = 42

$\sqrt[3]{42} = 3.4760 < 7$

4 0

3 years ago

okay so ive got a ton of piecewise function things and I really suck at them so maybe someone wants to help me? :D thanks giving

algol [13]

[] signs mean that the number is included in the domain and () mean that the number is not included. Now,

1. [-1,5)
Because x is greater than or equal to -1 (included) but less than 5 (excluded

2. [-5,13)
When we plug in x = -1, we get the minimum value of -5, which is included because its x-value was included. The, we plug in x = 5 to find the range's maximum and this is excluded because its x-value was excluded.

3. 218
x = 6 lies in the domain of the first function so we will use it to evaluate the value of x = 6. We do this by simply substituting x into the function.

4. 12
x = 9 is included in the domain of the second function and the value of the second function at all points is 12.

5. 103
x = 10 is included in the domain of the second function so we will use it to evaluate the value of x = 10. This is done by substituting x into the equation.

4 0

3 years ago

Which of the following is an arithmetic sequence?–20, –25, –30, –35, –45, ...

timurjin [86]

B) -15.6,-12.9,-10.2,-7.5,-4.8

This is an arithmetic sequence.

4 0

3 years ago

Read 2 more answers

Find the 53rd multiple of 62, if the 54th multiple is 3348.

Scorpion4ik [409]

Answer:

$\displaystyle 3286$