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Lina20 [59]
3 years ago
6

Solve the inequality algebraically. Write the solution in interval notation. |9x + 10| < 15

Mathematics
1 answer:
viva [34]3 years ago
5 0

The given inequality is

| 9x+ 10 |

First we need to remove the absolute sign , and when we do so , we will get a compound inequality, that is

-15< 9x+10 < 15

To solve for x, first we need to get rid of 10. and for that, we have to do subtraction

-15-10

Now we need to get rid of 9, and for that, we do division

\frac{-25}{9}< x< \frac{5}{9}

So the required solution is

( \frac{-25}{9} , \frac{5}{9})

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Help on both <br><br> please !!! <br><br> don't give me irrelevant answers pls
Gennadij [26K]

Answer:

< 1 is 85

X= 50

Step-by-step explanation:

ok the first question has 2 angles given 60 and 65

consider this one shows a 90 degree angle and the other does not. so  60 plus 90 equals 150 degrees

the u must say 65 plus x (x being angle 1) must also equal 150

subtract 65 from 150 and you get 85

now the second problem lets use the

Exterior Angle Theorem

The measure of an exterior angle (our w) of a triangle equals to the sum of the measures of the two remote interior angles (our x and y) of the triangle.

using this we know the 40 degree angle and 2x + 20 equals 3x plus 10

so we subtract 10 degrees from both sides and get

2x plus 10 plus 40 equals 3x now this means x equals 10 plus 40 which is 50

8 0
2 years ago
Part B what are the probabilities of each outcome in the sample space? select all that apply
zepelin [54]

Answer:

C, D, and E are correct

Step-by-step explanation:

p(2)= 1/6; p(3)= 1/6; p(4)= 1/6; 1/6=1/6=1/6

p(1)= 3/6; 3/6=1/2

p(4) = 1/6; There are six sections and one section is labeled<em> '4' </em>

<em />

Hope this helped! ;p

7 0
3 years ago
25 cm of ribbon at £2.20 per metre what is the cost
Step2247 [10]
0.55 pence or quid per 25 centimeters as if you multiply it by 4 it would be 2.20 pound because 1 metre is 100 centimeters after i divide 100 by 25 i get 4 which would be 1/4 which i would then multiply 1/4 x 2.2 pound 
3 0
3 years ago
The equation tan(x- pi/3) is equal to _____.
kherson [118]

Answer:

B

Step-by-step explanation:

Using the expansion

tan(x - y) = \frac{tanx-tany}{1+tanxtany}, then

tan(x - \frac{\pi }{3})

=  \frac{tanx-tan(-\frac{\pi }{3}) }{1+tanxtan(-\frac{\pi }{3}) }

note that tan( -\frac{\pi }{3}) = - tan(\frac{\pi }{3}) = - \sqrt{3}

= \frac{tanx-(-\sqrt{3}) }{1+tanx(-\sqrt{3}) }

= \frac{tanx+\sqrt{3} }{1-\sqrt{3}tanx } → B

6 0
3 years ago
Read 2 more answers
Man has $100 and wants to buy a radio and earphones. All radios and earphones are 25% off the List price and NO sales tax.
-Dominant- [34]
To find what 25 percent of 130 is we must convert 25 to a decimal. 0.25
Then we multiply .25 and 130 to get 32.5 dollars off 130. This means that the radio and earphones will cost $97.50 and you will have $2.50 remaining. 
If this helped you out Brainliest answer would be appreciated
5 0
3 years ago
Read 2 more answers
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