Write your answer with no space and any fraction with “/“

Answer/Step-by-step explanation  (ac > b² or b² < ac. )

A/c to question, we have to show:-

b² >ac in A.P ........ (1)

b² = ac in G.P .....(2)

b² < ac in H.P. ..... (3)

b = a+c/2 (A.P)

b = √ac ( G.P)

b = 2ac/a+c (H.P)

In A.P :

b² > ac = b² - ac

= (a+c/2)² - ac

= (a²+2ac+c²/4) - ac  = a² + 2ac + c² - 4ac / 4

= a² - 2ac + c² / 4  = ( a - c ) ² / 4 > 0  Hence, b²>ac

In G.P:-

b = √ac

Hence, b² = ac

In H.P :-  b² < ac = ac > b²  = ac - b²  = ac - ( 2ac / a+c)

= ac(a+c) - 2ac / a+c

= a²c + ac² - 2ac / a+c

= ac(2ac - 2) / a+c > 0

Hence, ac > b² or b² < ac.

Answer:

x=-2

Step-by-step explanation:

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

[tex]3[-x+(2x+1)]=x-1[/tex]

[tex]-3x+3(2x+1)]=x-1\\-3x+6x+3=x-1\\3x+3=x-1\\2x+4=x\\2x+4=0\\2x=-4\\x=-2[/tex]

Answer:

1) 480000

2)500000

3)475000

Step-by-step explanation:

To round it to the nearest 1000 you would find the 1000s digit which is 5 and look at the digit to the right and if it is under 5 than the 1000s digit stays the same and everything to the right turns to a zero so than you can apply that concept to the rest of the problems so you get

1) 480000

2)500000

3)475000

Answer:

the answer is D also known as $7000

Step-by-step explanation:

Answer:

The answer is D 7000

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

81×61=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

8×61×1=481

Since 48 divided by 1 equals 48 then,

481=48

Therefore:

81÷16=48

hope this helps

Answer:

undefined

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

= 1/4(56)

= 14

step by step

Answer:

The answer is 273/64. In decimal form it is 4.109375 Good luck!

The number of members going to the tournament is 9(optionC)

Word problem are mathematical problems written and words or sentence. To solve this type of problem we need to interpret the problem into mathematical equation.

Represent the number of members of the club by x and the cost per person be y. The total cost for the trip is $210

therefore 210/x = y equation 1

When 3 students join, the cost per person drops by $5.83

210/(x+3 )= y - 5.83

y = 210/(x+3 )+5.83

210/x = 210/(x+3) + 5.83

multiply all terms by x(x+3)

210(x+3) = 210x + 5.83(x²+9)

210x +630 = 210x + 5.83x²+52.47

630-52.47 = 5.83x²

577.53 = 5.83x²

x²= 577.53/5.83

x² = 99.06

x =✓99.06

x = ± 9.95

since 0.95 is not Up to a person and number of persons is a specific value, then the number of members going for the tournament is 9

learn more about word problem from

https://brainly.com/question/21405634

#SPJ1

Answer:

A. r²

Step-by-step explanation:

The formula for the area of a circle is π r²,

thus the π is multiplied by the r²

Answer: 68% is the parameter, and 73% is the statistic.

Step-by-step explanation:

I got it right

Answer:

The ______ triangle always has altitude outside itself.

Answer:

3 sandwiches

Step-by-step explanation:

if she has 52 pieces of chees left,

C = 52

52 = -5s + 67

solve for s

-5s = -15

s = 3

Answer:

the answer is A

Step-by-step explanation:

I just took the test and A was the correct answer

Answer:

2850 employees

Step-by-step explanation:

Given that ,

3 supervisors = 30 employees

1 supervisor = 30/3 employees

285 supervisors = 30 / 3 × 285 employees

285 supervisors = 10 × 285 employees

285 supervisors = 2850 employees( Answer)

Answer:

soln

1m= 100cm

25cm÷15m×100cm

25cm÷1500cm

60:1

is a answer

Step-by-step explanation:

hope you like my answer

Answer:

x = 2, y = 6

Step-by-step explanation:

Hi there!

The equation for the cost of baskets of tomatoes can be represented as

3x+5y = 36

The number of baskets can be represented as

x + y = 8

I will be using the substitution method for this question.

First, we have to solve for a variable. X will be easiest in this case.

Multiply the bottom equation by -3 to cancel out 3x and -3x.

Your equation will become [tex]-3x - 3y = -24[/tex]

After the x values are cancelled out, add the values from the top equation into the values of the bottom equation.

this becomes [tex]2y = 12[/tex], or y = 6.

Now that we know the y-value, plug it in either original equation to find x.

x = 2

Answer:

there are 8 boys and 16 girls

hope this helped :-)

Step-by-step explanation:

24:4=6

6+2=8

8+8=16

8:2=4

8+8+4+4=24

4+4=8

Answer:

24.5

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

Step-by-step explanation:

H² = 12² + 5²

H² = 144 + 25

H² = 169

H = √169

H = 13

Sin © = 5 / 13

Answer:c

Step-by-step explanation:When you see that it means you need to find square root .That the symbol for square root.

Answer:Your answer is b because

Step-by-step explanation:

3 - 7 = -4

Why?

7 is a bigger number than 3 which makes the answer a negative number.

-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9

that is a number line and if you start from 3 and go back 7 spaces it would be -4.

In conclusion,

-4 is the absolute value of 3 - 7.

Answer:

A

Step-by-step explanation:

The y-intercept is where the line meets the y axis

To do this x has to =0

Your table tells you that when x=0 y=6

this means that 6 is the y intercept

The answer is A

Answer:

the first one

Step-by-step explanation:

slope formula: y2-y1/x2-x1

12-6/3-0

6/3

2

slope=2

from the table, you know the y-intercept is 6

(sorry that took so long.  I was distracted by an epic anime fight scene)