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Law Incorporation [45]
3 years ago
8

3(12x – 9) + 9 = 2x + 4 Would this be infinite solution, one solution or no solution?

Mathematics
1 answer:
timama [110]3 years ago
8 0

Answer:

One solution

Step-by-step explanation:

Let us first <u>expand</u> the left side of the equation to rid of the parenthesis:

3*12x-3*9+9=2x+4\\36x-27+9=2x+4\\36x-18=2x+4

Now let us <u>isolate</u> the variable to sove for x:

36x-2x=4+18\\34x=22\\x=\frac{22}{34}\\x=\frac{11}{17}

Therefore, x=\frac{11}{17}. As you can see, there is just one solution.

<em>I hope this helps! Please let me know if you have any further questions :)</em>

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1
zmey [24]

Answer:

Part 1) The inequality that represent this situation is 5(x+7)^{2} \geq1,050  or  5x^{2}+70x+245 \geq1,050

Part 2) Yes, 8 inches is a reasonable width for his tablet

Step-by-step explanation:

Part 1)

Let

L -----> the length of the screen television

W ----> the width of the screen television

x ---->  the width of Andrew's tablet

we know that

L=5W ------> equation A

W=x+7 ----> equation B

The area of the television is

A=LW -----> equation C

Substitute equation A and equation B in equation C

A=5(x+7)(x+7)

A=5(x+7)^{2}

5(x+7)^{2} \geq1,050

5(x^{2}+14x+49) \geq1,050

5x^{2}+70x+245 \geq1,050 ------> inequality that represent this situation

Part 2) Determine if 8 inches is a reasonable width for his tablet

For x=8 in

Substitute in the inequality

5(8+7)^{2} \geq1,050

5(15)^{2} \geq1,050

1,125 \geq1,050 -----> is true

therefore

Yes, 8 inches is a reasonable width for his tablet

3 0
3 years ago
When you finally retire, you want to be able to draw from an account an annual salary of $100,000 for 20 years. Approximately ho
tankabanditka [31]
PV = P(1 - (1 + r)^-n) / r; where P is the periodic withdrawal = $100,000; r = rate = 5% = 0.05; n = number of periods = 20 years.

PV = 100000(1 - (1 + 0.05)^-20) / 0.05 = 100000(1 - 1.05^-20) / 0.05 = 100000(1 - 0.3769) / 0.05 = 100000(0.6231) / 0.05 = 100000(12.4622) = 1,246,221 ≈ $1,250,000
4 0
3 years ago
Read 2 more answers
HELP ME PLEASE AND GET MARKED THE BRAINLIEST!&lt;3
Bogdan [553]

Answer: A is certainly true.

Step-by-step explanation:

6 0
3 years ago
Solve by Factoring A<br> x2 + 10x + 24 = 0
timurjin [86]

Answer:

(x + 4) (x+6) +24 = 0

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A woman is q years old while her son is p years old. the sum of their ages is equal to twice the difference of their ages. the p
Allisa [31]

Step-by-step explanation:

Given

q + p = 2(q - p)

as equation 1.

I used q-p as the difference as logically the woman will be older than her son.

Also given,

qp = 675

as equation 2.

Using equation 2,

q =  \frac{675}{p}

substitute this equation into equation 1.

\frac{675}{p}  + p = 2( \frac{675}{p}  - p) \\  \frac{675}{p}  + p =  \frac{1350}{p}  - 2p \\  \frac{675}{p}   -  \frac{1350}{p}  =  - 2p - p \\  - 3p =  -  \frac{675}{p}  \\    - 3p \times p =  - 675 \\  - 3 {p}^{2}  =  - 675 \\  {p}^{2}  =  - 675 \div  - 3 \\  {p}^{2} = 225 \\ p =  \sqrt{225}   \\  = 15

Substitute P into equation 2.

15q = 675 \\ q = 675 \div 15 \\  = 45

Therefore the woman is 45 years old while her son is 15 years old.

3 0
3 years ago
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