Show your solution follow the steps need an answer, please need an answer, please.​

Step-by-step explanation:

21. x² - 4x - 5 > 0

→ (x - 5) (x - 1) > 0

{x - 5 > 0

{x + 1 > 0

{x - 5 < 0

{x + 1 < 0

{x > 5

{x > -1

{x < 5

{x < -1

= x < -1 or x > 5

therefore, option A is correct

22). 4p² - 1 ≤ 0

(2p - 1) (2p + 1) ≤ 0

{2p - 1 ≤ 0

{2p + 1 ≥ 0

{2p - 1 ≥ 0

{2p + 1 ≤ 0

{p ≤ 1/2

{p ≥ -1/2

{p ≥ 1/2

{p ≤ -1/2

1/2 ≤ p ≤ 1/2

{p ≥ 1/2

{p ≤ -1/2

-1/2 ≤ p ≤ 1/2

therefore, option A is correct.

23). y < 3x² + 3x - 6

3x² + 3x - 6 = 0

3x² + 6x - 3x - 6 = 0

3x(x +2) - 3(x +2) = 0

(x +2) (3) (-3) = 0

x = -2, 1

this is the correct ans. but their is no option similar to it.

25. x and y are root of

m² - 11m + 18 = 0

hence, x + y = 11

xy = 18

2xy = 36

now, x² + y²

= (x +y)² - 2xy

= (11)² - 36

= 121 - 36

= 85

therefore, option A is correct.

26. x² - 2x - 120

(x -1)² - 1 - 1² = 0

(x -1)² = 1 + 1²

x - 1² = 2

x - 1 = ±√2

1 ± √2

therefore, option A is correct.

hope this answer helps you dear..take care!

Answer:

Step-by-step explanation:

21) x² - 4x - 5 > 0

x² - x + 5x - 5 > 0

x(x - 1) + 5(x - 1) > 0

(x - 1) (x + 5) > 0

x - 1 >0   or  x + 5 > 0

x > 1       or  x > - 5    Ans: D

22)  4p² ≤ 1

p² ≤ 1/4

p ≤ 1/2  or  p ≥ -1/2

-1/2  ≥ p ≤ 1/2

23)y < 3x² + 3x - 6

(1 , -7)

x = 1  and y = -7

-7 < 3*1 + 3*1 - 6

-7 < 3 + 3 - 6

-7 < 0

(1 , -7) satisfies the equation.

Option b

24) 5x² - 7x = 0

a = 5  ; b = -7  ;c = 0

Discriminant = b² - 4ac =  49 - 0 = 0

[tex]x = \dfrac{-b+\sqrt{D}}{2a} \ ; \ \dfrac{-b-\sqrt{D}}{2a}\\\\x = \dfrac{7+\sqrt{49}}{10} ; \dfrac{7-\sqrt{49}}{10}\\\\x = \dfrac{7+7}{10};\dfrac{7-7}{10}\\\\x =\dfrac{14}{10} ; 0\\\\x = \dfrac{7}{5}; 0[/tex]

x = 0 ; x = 7/5  Option a)

25) m² - 11 m + 18 = 0

m² - 2m - 9m + (-9)*(-2) = 0

m(m - 2) - 9(m - 2) = 0

(m - 2)(m - 9) = 0

m = 2 , 9

x = 2 and y =9

x² + y² = 2² + 9² = 4 + 81 = 85   Option a)

26) x² - 2x - 1 = 0

Add the constant 1 to both sides

x² - 2x = 1

Divide the coefficient of x by 2.  2/2 = 1. Now add this 1 to both sides of the equation.

x² - 2x  + 1  = 1+1

x² - 2x + 1 = 2

(x - 1)² = 2

Take square root

x - 1 = ±√2

x  = 1 ± √2    Option a)

Can someone help answering my questions in English and Math

P(x) = 4x3 + 5x + 9, D(x) = 2x + 1

Two polynomials P and D are given. Use either synthetic or long division to divide
P(x)
by
D(x),
and express P in the form
P(x) = D(x) · Q(x) + R(x)

What is the advantage of paying your credit card balance in full each month?
You will incur only a small "paid in full" fee on your next credit card statement.
You pay only a small amount of interest.
You have less of your credit limit available, therefore, less temptation to spend.
You avoid paying any interest and fees.

Có bao nhieu cách đổi một tờ tiền mệnh giá 200.000VNĐ thành các tờ tiền mệnh giá 50.000VNĐ,20.000VNĐ,10.000VNĐ

Find the perimeter of the
triangle.
16% + 16) cm
(9%-11) cm

What do I do?

Backstory)) Today as I was waking to lunch with a few people that were my so called friends, they are in the dance team and they wanted to go and help sell tickets there was one small table to sell tickets. But the thing is that there is only room for about 4 people on that table but they fit 7 which logically I think we all know that 7 people don’t need to sell tickets, only if 2 people actually bought tickets

So as we entered the cafeteria I followed them (I am not on the dance team) they went to that very table then I asked the obvious question where should I sit? Cause there want room for me. Then one of my friends pointed at an empty table and told me to sit there. I sit there the whole lunch eating only a few. I am stressed when nobody is next to me eating which causes me to eat less. Cause I feel everyone is staring at me. So I act like I am fine. Then after that we had some free time. I went to the bathroom the whole free time to just cry. But the thing is as the free time started they didn’t come and get me they just walked off so that’s why I went to the restroom and stayed in there for a little till the bell rang.

So what should I do they are going to do the same thing tomorrow and I am getting stressed cause I have no other friends to sit with.

The elevation of city A is 72 feet above sea level; the elevation of city C is 24 feet above sea level. The elevation of city D is of the elevation of city C. Simplify the expression and explain why the answer is negative or positive.

Two bicyclist are 180 miles apart when they start racing towards each other. If their speeds are 14 mph and 16 mph respectively, how long will it be before they are twenty miles apart? I WILL MARK AS BRANLIEST IF YOU GOT THIS CORRECT!

please answer this question above​

two less than seven times a number c

btw this is write the phrase as an algebraic expression​

6x < 36
what is the right answer
X< or >6

Indhu has 150 stamps and Clarissa has 78 stamps. How many stamps must Indhu give Clarissa so that they will have the same number of stamps?​

find reason and statements

Round 159,095 to the tenths place

can you find the lengths and area and type the correct code? Please remember to type in all caps with no space​

The graph of y=3x+2x-2^2 is shown. A) what are the coordinates
Will mark BRAINELIST please answer both!!

(Please help!) Which table shows a function that is decreasing only over the interval (–1, ∞)?

5(x + y)2 + (x + y) − 4

On Sunday a local hamburger shop sold a combined total of 231 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the amount of hamburgers sold. How many hamburgers were sold on Sunday?

i have so many points help me
Divide.

(−15)÷(−45)

What is the quotient?

Enter your answer as a simplified fraction in the box.

PLEASE HELP ITS MATH THANK YOUUUU HURRY

please help me with this sum​

Find the Perimeter of the figure below, composed of a rectangle and two semicircles. Round to the nearest tenths place.

Help help please please

The temperature at 10:00 a.m was -3 and increased 2.25 each hour for the next 5 hours.What was the temperature at 3:00pm?

What is the distance between point C (3.5,6) and Point A (4.8, 6)​

Each side of a square calendar is 19 inches long. What is the calendar's perimeter?

Lisa bought a refrigerator on sale for 50% off the original price, for $235. What was the original price before the sale?

Anyone know thisss

its math

In a multiple choice test, a candidate gets 3 marks for a correct answer and one mark is deducted for an incorrect answer. If Ayobi answers all 30 questions and scores 30 marks, how many questions did
she get wrong?

Reason too