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3 years ago

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 expand 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 isolate 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.

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

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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

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Bogdan [553]

Answer: A is certainly true.

Step-by-step explanation:

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3 years ago

Solve by Factoring A 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.

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3 years ago