\(a=2022.\left|x^2+1\right|+2023\)

\(\Rightarrow a=2022.\left(x^2+1\right)+2023\left(\left|x^2+1\right|>0,\forall x\right)\)

mà \(\left(x^2+1\right)\ge1,\forall x\)

\(\Rightarrow a=2022.\left(x^2+1\right)+2023\ge2022.1+2023=4045\)

\(\Rightarrow GTNN\left(a\right)=4045\left(x=0\right)\)

GTNN(a) = 4045 khi x = 0

\(\left(x-\dfrac{1}{2}\right)^2-\dfrac{1}{3}=\dfrac{23}{12}\\ \Rightarrow\left(x-\dfrac{1}{2}\right)^2=\dfrac{23}{12}+\dfrac{1}{3}=\dfrac{9}{4}\\ \Rightarrow\left[{}\begin{matrix}x-\dfrac{1}{2}=\dfrac{3}{2}\\x-\dfrac{1}{2}=-\dfrac{3}{2}\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=\dfrac{3}{2}+\dfrac{1}{2}=2\\x=-\dfrac{3}{2}+\dfrac{1}{2}=-1\end{matrix}\right.\)

\(\left(x-\dfrac{1}{2}\right)^2-\dfrac{1}{3}=\dfrac{23}{12}\)

\(\Rightarrow\left(x-\dfrac{1}{2}\right)^2=\dfrac{23}{12}+\dfrac{1}{3}\)

\(\Rightarrow\left(x-\dfrac{1}{2}\right)^2=\dfrac{9}{4}=\left(\dfrac{3}{2}\right)^2\)

\(\Rightarrow\left[{}\begin{matrix}x-\dfrac{1}{2}=\dfrac{3}{2}\\x-\dfrac{1}{2}=-\dfrac{3}{2}\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=2\\x=-1\end{matrix}\right.\)

\(\left|\dfrac{2}{3}-1\right|-\dfrac{5}{2}.\sqrt[]{\dfrac{4}{25}}=\left|-\dfrac{1}{3}\right|-\dfrac{5}{2}.\dfrac{2}{5}=\dfrac{1}{3}-1=-\dfrac{2}{3}\)

-2/3

\(\dfrac{6}{5}\cdot\sqrt{\dfrac{25}{16}}-\left(\dfrac{3}{4}\right)^2:0,25\\ =\dfrac{6}{5}\cdot\dfrac{5}{4}-\dfrac{9}{16}\cdot4\\ =\dfrac{3}{2}-\dfrac{9}{4}\\ =-\dfrac{3}{4}\)

\(\dfrac{6}{5}\cdot\sqrt{\dfrac{25}{16}}-\left(\dfrac{3}{4}\right)^2:0,25\)

\(=\dfrac{6}{5}\cdot\dfrac{5}{4}-\dfrac{9}{16}:\dfrac{1}{4}\)

\(=\dfrac{6\cdot5}{5\cdot4}-\dfrac{9\cdot4}{16}\)

\(=\dfrac{6}{4}-\dfrac{9}{4}\)

\(=\dfrac{3}{4}\)

A = -\(x^2\) -  0,75 

\(x^2\) ≥ 0 ∀ \(x\) ⇒ -\(x^2\) ≤ 0 ⇒ - \(x^2\) - 0,75 ≤ -0,75  

A_max = -0,75 ⇔ \(x\) = 0

Do x² ≥ 0 với mọi x ∈ R

⇒ -x² ≤ 0 với mọi x ∈ R

⇒ -x² - 0,75 ≤ -0,75 với mọi x ∈ R

Vậy GTLN của A là -0,75 khi x = 0

1. We sometimes watch TV on Sundays.
2. My mum enjoys doing yoga every day to keep fit.
3. I didn't want to get sunburned.
4. My sister never drinks soft drinks.

giúp mik vs ạ

1.T

2.F

3.T

4.T

-Chúc bạn một ngày tốt đẹp!!!

Sửa:

1.T

2.F

3.T

4.F

5.T

1. Where are the children drawing pictures?

2. How often does the Olympic Games take place?

3. When did Pelé become "Football Player of the Century"?

4. When will Mr. Smith pick the children up?

5. What does Peter usually do at break time?

...=344-2574-344+5874=-2574+5874=3300

344-2574+(-344)+5874

= \(\left[344+\left(-334\right)\right]+\left(5874-2574\right)\)

=\(1+3300\)

=\(3300\)

1. How about go to the art gallery this weekend?

2. The jeans are more expensive than the black trousers.

3. Tony is the most creative in his class.

4. Because we have a lot of worrk to do, we can't go to the movies.

5. If we plant more trees , we will make the air fresher.

1. Let’s go to the art gallery this weekend! -> How about going to the art gallery this weekend?

2.The black trousers are cheaper than the jeans. -> The jeans are more expensive than the black trousers. 

3.Tony is more creative than any other student in his class. -> Tony is the most creative student in his class.

4. We have a lot of work to do, so we can’t go to the movies. -> Because of the amount of work we have, we can't go to the movies.

5. Planting more trees will make the air fresher. -> If we plant more trees, the air will become fresher.