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2 years ago

Solve the inequality! (3x - 2)^2 - 4x(2x-3) greater or equal 0

Mathematics

1 answer:

seraphim [82]2 years ago

3 0

Solve:

(3x-2)^2-4x(2x-3)>=0

(3x-2)(3x-2)-8x^2+12x>=0

9x^2-12x+4-8x^2+12x>=0

The solution: x^2+4>=0

I hope I helped you with your solution! If you could give me brainliest, I would be very thankful!

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2 years ago

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3 years ago

Please answer the question in the photo:

Vika [28.1K]

Answer:

$\fbox{8x+36}$

Step-by-step explanation:

1. Use the distributive property to write the problem without parentheses. The distributive property says that you can multiply a number next to parentheses by all the numbers inside parentheses. The picture below explains.

$4(2x+9)=\\\\(4*2x)+(4*9)=\\\\4(2x+9)= 8x+36$

Therefore, your answer is

$\fbox{8x+36}$

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2 years ago

In ¾ pound of a banana bread, there is ½ cup of cinnamon. How much cinnamon does the bread contain per pound?

Shkiper50 [21]

1 pound of bread contains $\frac{2}{3}$ cups of cinnamon.

<h3><u>Solution:</u></h3>

Given that , In $\frac{3}{4}$ pound of a banana bread, there is $\frac{1}{2}$ cup of cinnamon

Amount of cinnamon per pound in bread

Let "n" be the cinnamon per pound present in bread

$\frac{3}{4}$ pound of banana bread ⇒ $\frac{1}{2}$ cup of cinnamon

Then, 1 pound of bread ⇒ n cups of cinnamon

Now, let us use criss cross method (i.e. multiplying the diagonal ordered terms and equating them)

$\begin{array}{l}{\rightarrow n \times \frac{3}{4}=\frac{1}{2} \times 1} \\\\ {\rightarrow n \times \frac{3}{4}=\frac{1}{2}} \\\\ {\rightarrow n=\frac{1}{2} \times \frac{4}{3}} \\\\ {\rightarrow n=\frac{2}{3}}\end{array}$

Hence, 1 pound of bread contains $\frac{2}{3}$ cups of cinnamon.

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3 years ago