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3 years ago

What’s the answer for -3(r-4)_>0

Mathematics

1 answer:

Zigmanuir [339]3 years ago

8 0

Answer:

r<4

Step-by-step explanation:

-3(r-4)>0 step 1: distribute the -3

-3r+12>0 explain: -3 times r =-3r, -3 times -4 = 12

next, isolate the -3r by putting 12 on the other side

-3r+12>0 subtract 12 from both sides

-3r>-12 now, divide both sides by -3 (you have to flip the > because you are dividing by a negative) -12 divided by -3 is 4

so you should end up with r<4

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Answer:

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Step-by-step explanation:

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Terrence graphs the two equations below on the same coordinate plane.

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3 years ago

If √6 is the geometric mean between 4 and another number, then the number is<br> 1.5<br> 9<br> 24

konstantin123 [22]

Correct answer is A.

g - geometric mean
$g= \sqrt{ab} 
\\
\\g= \sqrt{6} ,a=4,b=?
\\ \sqrt{6}= \sqrt{4b} 
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3 years ago

What are the coordinates of the hole in the graph of the function f(x) ?

Vinvika [58]

ANSWER

$(3, \infty )$

EXPLANATION

The given function is

$f(x) = \frac{ {x}^{2} - 9}{x - 3}$

When we plug in x=3 into this function, we obtain,

$f(3) = \frac{0}{0}$

This means that the function is discontinuous at x=3.

We need to simplify the function to obtain,

$f(x) = \frac{(x - 3)(x + 3)}{(x - 3)}$

This implies that,

$f(x) = x + 3$

The graph this function is a straight line that is continuous everywhere.

To graph

$f(x) = \frac{ {x}^{2} - 9}{x - 3}$
we draw the graph of

$f(x) = x + 3$
and leave a hole at x=3.

See diagram in attachment.

Hence the coordinates of hole is

$(3, \infty )$

6 0

3 years ago

PLEASE HELP I REALLY DONT UNDERSTAND HOW TO DO THESE QUESTIONS!!!!! THANK YOU I APPRECIATE YOU!!!!

liraira [26]

Answer:

a) $42,580

b) $43,900

Step-by-step explanation:

Recall, "mode" refers to the value which occurs most frequently.

In this case, the question says that there are 2 modes,

this means $34,000 and $50,500 both share the spot for the most frequently appearing salary.

because there are only 5 employees (and hence 5 salaries), the only possible way that there are two modes is if there are two of each mode, leaving only the last salary unknown.

i.e if we list the 5 salaries (in no particular order)

$34,000 $34,000 $50,500 $50,500 $ x

where x is the 5th unknown salary.

Given that the mean is $42,100

Then (34,000 + 34,000 + 50,500 + 50,500 + x) / 5 = 42,100

solving for x gives x = $41,500

Now we know all the values, we can rearrange them in increasing value:

$34,000 $34,000 $41,500 $50,500 $50,500

from this, we can see that the median salary is $41,500

Given that the median salary gets a $2400 raise,

the new median salary = $41,500 + $2400 = $43,900 (Ans for part b)

new mean salary,

= ($34,000 + $34,000 + $43,900 + $50,500 + $50,500 ) / 5

= $42,580 (answer for part a)

4 0

3 years ago