The product of two consecutive integers is 72. Write a quadratic equation to find the integers, and then solve it.

Answers

Answer 1

Answer:

9 x 8

Step-by-step explanation:

Answer 2

Answer:

ok so basically what you do is since you know they are consecutive numbers, one is x and the other is x+1. Now when you multiply x and x+1 you get 72 , so this basically turns into a quadratic where x(x+1)=72. Thus,X^2+x=72. subtract 72 from both sides- x^2+x-72=0. Then you can solve for x using the quadratic formula or some other way and you get x to be 8 or -9. OH WAIT THERE IS ANOTHER SOLUTION IT IS -9 AND -8. . Anyway yea hoped this helped.

Step-by-step explanation:


Related Questions

Nita simplified the equation in problem 8 to 1.8 = 1.2x.
How did she get that? Is this a valid way to solve the
equation? Explain.

Answers

Answer:No

Step-by-step explanation: No,this is not an valid way to solve the equation because you can’t multiply 1.2 with anything to get 3

What is the length of AB? 4 units 5 units 6 units 7 units

Answers

Answer:

the answer is 6 units

Step-by-step explanation:

find point A and point B and then just count the units over from

A to B and you will get AB is 6 units

Answer c

Step-by-step explanation: bc its 6 units

How do I simply these in easy simple terms please I’m very tired

Answers

Answer:

combine like terms

Step-by-step explanation:

Can someone help me find the solution?

Answers

Answer:

Solution: y=2

I've asked this question twice and gotten 2 different answers. this is sooo urgent and I don't know what the right answer is. A long-distance phone company charges $4.95 month plus an additional $.10 per minute. a. Define a variable and write a formula to find the total cost per month for long-distance service. b. Use this formula to find the long-distance charges for 120 minutes of calls in one month.​

Answers

Answer:

C=4.95 +0.10x, where x=minutes

C=4.95 + 120(0.10)

C=4.95 +12.00=$16.95

Hope this helps!!

Dione is designing a water fountain for the lobby of a new hospital. She knows that the fountain will have a circular pool with water projected upward at a constant rate from the center of the pool. She needs to determine the maximum height, so she uses a linear model to represent the situation.

Answers

Answer:

Diane did not choose a good model. Because the water is a projectile with a maximum height, she should use a quadratic model

Step-by-step explanation:

Here, we want to choose the correct option

As we are having a circular projection, we should be looking at having a parabolic representation i.e a model that looks like a parabola

So the correct answer in this case is that;

Diane did not choose a good model. Because the water is a projectile with a maximum height, she should use a quadratic model

what expression is equivalent to x^2-10x+24

Answers

Answer:

(x-6)(x-4)

or

x=-6   , x=4

Step-by-step explanation:

Find the exact length of the third side

Answers

Answer:

9.9

Step-by-step explanation:

If you are reading this just know you are appreciated & loved ! If u need anyone to talk to I’m here

Stephanie bought 5 bananas for 1.25. How much would 13 bananas cost? please answer as soon as possible

Answers

13 bananas would cost 3.25

Answer:

$3.25

Step-by-step explanation:

$1.25/5=$0.25 per banana

0.25x13=$3.25 for all 13 bananas

Select the correct text in the passage,
What is the opportunity cost in this scenario?
Mikael has saved $4,000 for his trip to Brazil. He has calculated that his total transportation expenses will be $1,000. The hotel will cost him
another $1,500. He will spend about $500 on food. He plans on spending the remaining $1,000 for sightseeing and buying souvenirs.
While booking his plane ticket
, he realizes that the price has gone up. His total transportation expenses will go up by $200. He realizes that he
cannot cancel his hotel reservation. He also doesn't want to go cheap on food. Finally, he decides to give up visiting the popular Ouro Preto
during his stay in Brazil
Reset
Next
mentum All rights reserved

Answers

Answer:

Sightseeing

Step-by-step explanation:

HELPPppPpPPpppppppp BRAINLIESTTTT

Choose the inequality symbol (>,


<


=

Answers

The inequality is < because the equal sign is an equality.
I don’t need a brai

100 POINTS plus a Brainiest
The table represents an exponential function.

What is the ratio of outputs for any two inputs that are two values apart?

Divide the larger output by the smaller output.



Enter your answer, as a decimal to the nearest hundredth, in the box.

Answers

Answer:

0. (45) 1. (51.71) 2. (48.24) 3. (55.44) 4. (59.43)

Step-by-step explanation:

Ill be so sorry if I get it wrong I did the math and this is what I got so if I get it wrong tell me ;w;

Answer: 1.15

Step-by-step explanation:

what is the value of X ? show step by step

Answers

Answer:

x=20

Step-by-step explanation:

The measure of BCD will be equal to the measures of BAC and ABC added together.

Hope this helps :-)

5x-3 =2x+15
Someone pls help for geometry

Answers

Answer:

x = 6

Step-by-step explanation:

5x-3 = 2x+15

i) move 2x to the left-hand side and change its sign

5x-2x-3 = 15

ii) move -3 to the right-hand side and change its sign

5x-2x = 15+3

iii) collect like terms

3x = 15+3

iv) add the numbers

3x = 18

v) divide both sides of the equation by 3

[tex] \frac{3x}{3} = \frac{18}{ 3} [/tex]

[tex]x = 6[/tex]

What is 12 divided by 2/3 and why? Please help

Answers

Answer:

8

Step-by-step explanation:

12/3=4

4 times 2=8

What is the domain of the function? {(-3,-9), (7,9), (9, 1), (7,3)} Colleen wrote her answer as (-3,7,7,9) and she got it marked WRONG! What did she do wrong?​

Answers

Answer: added

Step-by-step explanation:

The total cost of a pizza and 3 drinks is $19. The price of the pizza is $10 and each drink is the same price, d.

Answers

Answer:

each of the drinks are $3

Step-by-step explanation:

Answer: 10 d d d / 19

D = 3

Step-by-step explanation:

answers for the 2 boxes please :)​

Answers

the answer is (4,19). since both equal y you can set them equal to each other to solve for x then plug x back in to one of the equations to find y

Answer:

(0,3) (0,7)

Step-by-step explanation:

Can you please help me!

Answers

Answer:

16

Step-by-step explanation:

Pythagoras theorem was used

If Marisa saved for 10 weeks, how
much money would she have now?

Answers

Answer:

125

Step-by-step explanation:

10*10=100+25=125

Help due at 11:59 please help

Answers

Answer:

Step-by-step explanation:

the last choice looks good

Answer: Its the bottom one i believe

Step-by-step explanation:

Domain slope stuff you don't want to hear have a good night :)

Jupiter takes about 12 earth years to revolve around the sun

Answers

Answer:

Yess correct but what is full question

What is 6.5% of 150 dollars? a tip on percentage of numbers would also be appreciated, thank you :)​

Answers

6.5% of $150 is $9.75

7. A city lot is twice as long as it is wide, If its perimeter is 480 units, what are the dimensions of the lot?

Answers

Answer:

Step-by-step explanation:

P = 480

P = 2 length + 2 width

but we also know that

2width = length

so plug that into the length

P = 2(2width) + 2 width

480 = 4 width + 2 width

480 = 6 width

80 = width

160= length

see?

A plumber charges $65 to make a house call plus an additional charge of $42 per hour for labor. Write an equation to represent the total cost (y) for any number of hours (x).

Answers

your query :

A plumber charges $65 to make a house call plus an additional charge of $42 per hour for labor. Write an equation to represent the total cost (y) for any number of hours (x).

Answer:

the required equation to represent the total cost with respect to every hour will be

=》y = 42x + 65

Step-by-step explanation:

total cost (y) = charge to make a house call + additional charge for every our

so, total additional charge for x hours

= 42 × x = 42x

hence y = 65 + 42x ( where 65 is charge to make a house call , y is total cost and 42x is additional charge for x hours )

i hope u got it

have a great day ^_^

1/3 divided by 4 = what

Answers

Answer:

1/12

Step-by-step explanation:

I divided

1/12 4 divided by 3 equals 12 so hope that helps.

10 – 7w – 13 – 7w + 15

I need help plsss!

Answers

Answer:

12-14w

Step-by-step explanation:

what is the sum of the interior angles of a polygon that has 16 sides

Answers

2520
16-2=14x180=2520

GIVING BRAINIEST!! ANSWER ASAP PLS
When an object is dropped from a point above the ground the amount of time it takes to hit the ground is given by the equation [tex]t=\sqrt{\frac{2d}{9.8} }[/tex] where d is the distance above the ground, in meters, and t is given in seconds.


If you need something to fall for exactly 1.5 seconds, how high should it be when it is dropped? Round your answer to the nearest tenth (one decimal place)

Answers

Answer:

15m/s

Step-by-step explanation:

help please i’ll give brainliest.

ΔABC is similar to ΔFED. Answer the questions to find the length of DF .


1. Which side in ΔFED does AB in ΔABC correspond to?
Write your answer in the space below.


2. Which side in ΔFED does CB in ΔABC correspond to?

Answers

Step-by-step explanation:

ΔABC is similar to ΔFED.

AB are the first 2 letters in ΔABC. Similarly, FE are the first 2 letters in ΔFED.

Hence side AB corresponds to side FE.

CB are the last 2 letters in ΔABC. Similarly, DE are the last 2 letters in ΔFED.

Hence side CB corresponds to side DE.

Answer:

1.  EF in ΔFED corresponds to AB in ΔABC.

2. DE in ΔFED corresponds to CB in ΔABC.

3. The length of DF is 10.

Step-by-step explanation:

Given: ΔABC is similar to ΔFED. Find the length of DF.

To Find: The length of side DF in ΔFED

Since, ΔFED is a right-angled triangle and also similar to ΔABC,

Applying similarity of triangles principle,

AB = 4  ,  EF = 8

BC = 3  ,  DE = 6

Now, applying Pythagorean theorem on ΔFED,

Hypotenuse² = Length² + Base²

⇒ DF² = DE² + EF²

⇒ DF² = 6² + 8²

⇒ DF² = 100

⇒ DF = √100

⇒ DF = 10

Final Answer: Hence the length of side DF is 10.

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