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ch4aika [34]
3 years ago
13

What is the solution to |3x| (>=) 9?

Mathematics
2 answers:
jeka943 years ago
6 0

|3x| >= 9

3x >= 9

x >= 3

-3x >= 9

x <= -3

Answer

x <= -3 or x >= 3

Hope it helpes

geniusboy [140]3 years ago
5 0

Hello,

3x = 9

3 * x = 9

x = 9 / 3 = 3

Bye :)

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Simplify (6^5 over 7^3)^2
love history [14]

Answer:

6^10 over 7^6.

Step-by-step explanation:

(6^5 over 7^3)^2

= 6^(5*2) / 7^(3*2)

=  6^10 over 7^6.

7 0
3 years ago
2x^2+3x-2, a=0 How do I find the derivative?
Ghella [55]

You can use the definition:

\displaystyle f'(x) = \lim_{h\to0}\frac{f(x+h)-f(x)}h

Then if

f(x) = 2x^2+3x-2

we have

f(x+h) = 2(x+h)^2+3(x+h) - 2 = 2x^2 + 4xh+2h^2+3x+3h-2

Then the derivative is

\displaystyle f'(x) = \lim_{h\to0}\frac{(2x^2+4xh+2h^2+3x+3h-2)-(2x^2+3x-2)}h \\\\ f'(x) = \lim_{h\to0}\frac{4xh+2h^2+3h}h \\\\ f'(x) = \lim_{h\to0}(4x+2h+3) = \boxed{4x+3}

I'm guessing the second part of the question asks you to find the tangent line to <em>f(x)</em> at the point <em>a</em> = 0. The slope of the tangent line to this point is

f'(0) = 4(0) + 3 = 3

and when <em>a</em> = 0, we have <em>f(a)</em> = <em>f</em> (0) = -2, so the graph of <em>f(x)</em> passes through the point (0, -2).

Use the point-slope formula to get the equation of the tangent line:

<em>y</em> - (-2) = 3 (<em>x</em> - 0)

<em>y</em> + 2 = 3<em>x</em>

<em>y</em> = 3<em>x</em> - 2

5 0
3 years ago
If the date of the second Thursday of the month is a perfect square, what is the date of the last Monday of the month?
Inga [223]

Answer:

last Monday is 27

Step-by-step explanation:

perfect square: 4, 9 , 16

2nd Thursday is a day >5 and < 14 day from the begining of the month, therefore the only day fit the criteria is 9th of the month.

last Monday is 27

Sun Mon Tue Wen Thu Fri Sat

                                  9     10  11

12    13      14     15     16     17  18

.........................................................

26    27

3 0
3 years ago
A rental car company charges $150.00 for a weekly rental and an additional $0.20 for each mile driven. The function rule C = 0.2
son4ous [18]

Answer:

A rental car company charges $150.00 for a weekly rental and an additional $0.20 for each mile driven.

The function  C = 0.20m+ 150.00 ,

where m is the number of miles and C is the total cost.

Since it is given that : If the rental car can only be driven a maximum of 200 miles.

Then the total cost for this is,

C = 0.20 (200)+150 or

C= 40+150

On simplify we get,

C = \$ 190

A rental Car can only be driven a maximum of 200 miles for a cost of $ 190.

Graph the function : C = 0.20m+ 150.00 as shown in the attachment.  




7 0
3 years ago
if a trip between work and home takes 15 minutes each way, how much time will be spent in a 5-day work week traveling back and f
Trava [24]
Hello there! Since the person goes there and back, we need to multipy 15(2)=30. 30(5)=150; therefore, the person spends 150 minutes. I hope I helped!
4 0
3 years ago
Read 2 more answers
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