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2 years ago

Inequalities & problem solving|3-2x/3|>5

Mathematics

1 answer:

shepuryov [24]2 years ago

5 0

Work: 2x/2 > 5/2 =2.5. answer-2.5

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3 (5x - 6) + 2 (x + 8)

seraphim [82]

Answer:

x = 34/13

Step-by-step explanation:

3(5x - 6) + 2(x + 8)

15x - 18 = 2x + 16

15x = 2x + 34

13x = 34

x = 34/13

Best of Luck!

3 0

3 years ago

Read 2 more answers

2.94 + 45 + 58.06<br> Help

stealth61 [152]

Answer:

106

Step-by-step explanation:

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2 years ago

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Steven tiene un tapete rectangular con un perímetro de 16 pies.y el ancho del tapete es 5 pies Cual es la longitud del tapete? n

Sunny_sXe [5.5K]

Answer:

$l = 3\,ft$

Step-by-step explanation:

La ecuación de perímetro del tapete es (The equation of perimeter of the carpet is):

$p = 2\cdot (w + l)$

Donde (Where):

$w$ - Ancho (Width)

$l$ - Longitud (Length)

La longitud se determina por despeje (The length is determined by clearing it):

$l = \frac{p}{2} - w$

$l = \frac{16\,ft}{2} - 5\,ft$

$l = 3\,ft$

8 0

2 years ago

What are the solutions to the equation

frosja888 [35]

Answer:

$x_1=\frac{1}{4}+(\frac{\sqrt{7}}{4})i$ and $x_2=\frac{1}{4}-(\frac{\sqrt{7} }{4})i$

Step-by-step explanation:

You have the quadratic function $2x^2-x+1=0$ to find the solutions for this equation we are going to use Bhaskara's Formula.

For the quadratic functions $ax^2+bx+c=0$ with $a\neq 0$ the Bhaskara's Formula is:

$x_1=\frac{-b+\sqrt{b^2-4.a.c} }{2.a}$

$x_2=\frac{-b-\sqrt{b^2-4.a.c} }{2.a}$

It usually has two solutions.

Then we have $2x^2-x+1=0$ where a=2, b=-1 and c=1. Applying the formula:

$x_1=\frac{-b+\sqrt{b^2-4.a.c} }{2.a}\\\\x_1=\frac{-(-1)+\sqrt{(-1)^2-4.2.1} }{2.2}\\\\x_1=\frac{1+\sqrt{1-8} }{4}\\\\x_1=\frac{1+\sqrt{-7} }{4}\\\\x_1=\frac{1+\sqrt{(-1).7} }{4}\\x_1=\frac{1+\sqrt{-1}.\sqrt{7}}{4}$

Observation: $\sqrt{-1}=i$

$x_1=\frac{1+\sqrt{-1}.\sqrt{7}}{4}\\\\x_1=\frac{1+i.\sqrt{7}}{4}\\\\x_1=\frac{1}{4}+(\frac{\sqrt{7}}{4})i$

And,

$x_2=\frac{-b-\sqrt{b^2-4.a.c} }{2.a}\\\\x_2=\frac{-(-1)-\sqrt{(-1)^2-4.2.1} }{2.2}\\\\x_2=\frac{1-i.\sqrt{7} }{4}\\\\x_2=\frac{1}{4}-(\frac{\sqrt{7}}{4})i$

Then the correct answer is option C.

$x_1=\frac{1}{4}+(\frac{\sqrt{7}}{4})i$ and $x_2=\frac{1}{4}-(\frac{\sqrt{7} }{4})i$

3 0

2 years ago

To stay properly hydrated a person should drink 32 fluid ounces of water every 60 minutes of exercise how much water should Damr

pychu [463]

Write and solve an equation of ratios, as follows:

32 fl oz 60 min
----------- = ------------
x 135 min

Then 60x = (32)(135) = 4320, and x = 72 oz.

damron should drink 72 fl. oz. of water if he rides 135 min.

4 0

2 years ago