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goldfiish [28.3K]
2 years ago
14

Solve each inequality and graph its solution. Can you guys solve all three please. This is do soon so please help!

Mathematics
1 answer:
mart [117]2 years ago
3 0
<h2>Hi ☘</h2>

1-A 2-A 3-B

- 104 \geqslant  - 8b - 8

put -8 near -104

- 104 + 8 \geqslant  - 8b

- 96 \geqslant  - 8b

b will be alone.

\frac{ - 96}{ - 8}   \geqslant   \frac{ - 8b}{ - 8}

b  \geqslant 12

Answer A

3m - 7 >  - 4

3m >  - 4 + 7

3m > 3

\frac{3m}{3}  >  \frac{3}{3}

m > 1

Answer A

İf

m \geqslant 1

The answer would be D

But answer A

- 4x + 4 >  - 16

16 + 4  >  + 4x

20 > 4x

\frac{20}{4}  >  \frac{4x}{4}

x < 5

Answer B

<em><u>We</u></em><em><u> </u></em><em><u>learnt this</u></em><em><u> </u></em><em><u>way in Turkey</u></em><em><u>.</u></em>

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Please solve and explain. Photo attached
ss7ja [257]

$\frac{(x+1)(x-3)}{x^{2}}

Solution:

Given expression:

$\frac{\frac{36}{x^{2}}+\frac{36}{x}}{\frac{36}{x-3}}

To solve this expression:

$\frac{\frac{36}{x^{2}}+\frac{36}{x}}{\frac{36}{x-3}}

Apply the fraction rule: $\frac{a}{\frac{b}{c}}=\frac{a \cdot c}{b}

      $=\frac{\left(\frac{36}{x^{2}}+\frac{36}{x}\right)(x-3)}{36}

Let us solve \frac{36}{x^{2}}+\frac{36}{x}.

Least common multiple of x^{2}, x is x^{2}.

Make the denominator same based on the LCM.

So that multiply and divide the 2nd term by x, we get

$\frac{36}{x^{2}}+\frac{36}{x}=\frac{36}{x^{2}}+\frac{36 x}{x^{2}}

              $=\frac{36+36 x}{x^{2}}

Now, multiply by (x - 3).

$\frac{36+36 x}{x^{2}}(x-3)= \frac{(36 x+36)(x-3)}{x^{2}}

$\frac{\left(\frac{36}{x^{2}}+\frac{36}{x}\right)(x-3)}{36}=\frac{\frac{(36 x+36)(x-3)}{x^{2}}}{36}

Apply the fraction rule: \frac{\frac{b}{c}}{a}=\frac{b}{c \cdot a}

                            $=\frac{(36x+36)(x-3)}{x^{2} \cdot 36}

                            $=\frac{36(x+1)(x-3)}{x^{2} \cdot 36}

Cancel the common factor 36.

                            $=\frac{(x+1)(x-3)}{x^{2}}

Hence the solution is \frac{(x+1)(x-3)}{x^{2}}.

7 0
3 years ago
Can y’all help me with this question
nikitadnepr [17]

Answer:

I'm 100% sure it's 50.

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Nicole is driving on a highway. She uses one gallon of gas every 20 miles she drives. The distance, D (in miles), she travels on
Arada [10]

Answer:

60

Step-by-step explanation:

1 gallon is equal to 30 miles, which would mean if she uses 30 gallons of gas it would be equal to 60 since 3 x 20 equals 60

8 0
2 years ago
Suppose that ∠BNR and ∠RNA are adjacent angles where m∠BNR=12w-19,
wariber [46]

Answer:

Step-by-step explanation:

Sum of interior adjacent angle is 180 degrees.

Given  

m∠BNR=12w-19,

m∠RNA= ¼(w+199)

m∠BNA=2(12w-19).

Substitute

m∠BNR+m∠RNA=

¼(w+199)+12w-19, = 2(12w-19).

W+796+48W-76 = 96W-152

49W-96W = -152+76-796

-47W = 872

W = 872/47

W = 18.55

6 0
2 years ago
Round 0.424 to the nearest tenth
lakkis [162]
0.424 rounded to nearest tenth would be 0.4 as you can not round up because the hundredth place is not 5 or higher
5 0
3 years ago
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