The product of a number and the number increased by 3 is 54. Find the two possible values the number could be.

Answers

Answer 1

[tex]\large{\rm{\underline{\underline{Answer:}}}}[/tex]

Let the number be x.

Then, the number increased by 3 will be x + 3.

According to question,

x(x + 3) = 54

x² + 3x = 54

x² + 3x - 54 = 0

By middle term factorisation,

x² + 9x - 6x - 54 = 0

x(x + 9) - 6(x + 9) = 0

(x + 9)(x - 6) = 0

Equating to zeroes and we get,

x + 9 = 0

x = -9 (First value)

and,

x - 6 = 0

x = 6 (second value)


Related Questions

In a horse​ race, how many different finishes among the first 3 places are possible if 7 horses are​ running? (Exclude​ ties)

There are a possible___different finishes.

Answers

Answer:

7 x 6 x 5 = 210

Step-by-step explanation:

its a combination's problem.

7 horses are eligible for first place.

6 of those are eligible for 2nd given that one of the 7 finished first.

similarly 5 of the remaining are eligible for 3rd place given 2 horses have taken the first 2 spots.

therefore 7 x 6 x 5 possible combinations = 210 combinations.

Help help help help help

Answers

Answer:

A (6,2)

B (7, 0)

C (4, -1)

Step-by-step explanation:

Add 3 to x and add 2 to y.

Answer:

move 3 to the right and 2 up

Step-by-step explanation:

A' ( b, 2 )

B' ( 7 , 0 )

C' ( 4, -1 )

60 points! No links or cheaters! I need a serious answer! Someone please help me I need to bump up my grade!

Answers

Answer:

this is easy, just move them to each other so that they can fit together and make sure they are both either a positive slope or a negative slope. then do the slope formula

Step-by-step explanation:

There are 25,883 LPN in indiana. Assume that indians population is approximately 6.6 mollion. Which of yhe following statement best represents the ratii of LPN's to residents in indiana?

Answers

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

Find the total future amount for $500 invested at 3.99% for 8 years compounded
monthly
State your answer in terms of dollars rounded to the nearest cent (hundredth).

Answers

Answer:

999.9

Step-by-step explanation:

hjvjg

2x + 3x/4 = 11
Please solve I am doing it for homework :)

Answers

Answer:

x = 4

Step-by-step explanation:

2x + 3x/4 = 11
x4 x4. = x4
8x + 12x =44
20x = 44
/20 =/20
x = 44/20 = 22/10

Find m<1 and m<2
Just solve :)

Answers

Answer:

m∠1=131       m∠2=49

Step-by-step explanation:

Like and give 5 star rating

Please brainlest

Answer:

m<2 is 49 and m<1 is 131

Step-by-step explanation:

180-131 equals 49, so m<2 is 49

m< is 49, so 180-49 which is 131, so m<1 is 131

How many solutions does this equation have?

4u − 5 − 5u = 3 − u

Answers

Answer:

It has 0 solutions.

Step-by-step explanation:

this equation has one solution
u= -1

Write an equation for the graph shown in the form of y =

Answers

Y= 1/5x+1

Because your line crosses the Y-axis at point (0,1), your y-intercept is 1. Your slope is over 5, up one. So 1/5 X is a constant linear slope, and your line starts at y=1

blank% of 50 shirts is 35 shirts

Answers

Answer: 70%

Step-by-step explanation:

A percentage is a way of writing a fraction, but with a denominator of  

100

Asking the question a different way makes it easier to understand.

What percent is  

35

shirts out of  

50

?

This indicates that there is a fraction.

35

50

Make the denominator  

100

35

50

×

2

2

=

70

100

=

70

%

Or to make a percent:

fraction

×

100

%

35

50

×

100

2

%

=

35

×

2

=

70

%

What is the slope of the line created by this equation?
Round your answer out to two decimal places.
8x+2y = 4
Help

Answers

Answer:

I think the answer will be:- m = -4 but I'm not sure.

18. You and your friend are selling your old CDs. Your friend sells 14 the first
day and x the next day. You sell y the first day and 6 the next day. Write an
expression that shows that the total number of CDs sold both ddays. Rewrite
your answer using the Commutative Property of Addition

Answers

9514 1404 393

Answer:

  = x + y + 20

Step-by-step explanation:

There are a couple of ways you could write this.

  friend sales + your sales

  = (14 +x) +(y +6)

  = (x +14) +(6 +y) . . . . commutative property used twice

  = x +14 +6 +y = x +20 +y

  = x + y + 20 . . . . . . . commutative property used again

__

  first-day sales + second-day sales

  = (14 +y) + (x +6)

  = (y +14) +(6 +x) . . . . commutative property used twice

  = y +14 +6 +x = y +20 +x

  = y +x +20 . . . . . . . . commutative property used again

  = x + y + 20 . . . . . . . and again

_____

Additional comment

We also used the associative property (to move parentheses) and the properties of addition of integers to simplify the sum. We have chosen to put the variables in lexicographical order, a sort of standard.

Divide then check using multiplication 4,859 divided by 23

Answers

Answer:

211 with a remainder of 6

Step-by-step explanation:                  

           Division                             Multiplcation Check

               211                                                 211

       ____________                                  x23

23           4,859                             _________________

              -46                                                 633

_____________________                      x4,220

                  25                              __________________        

                 -23                                            4,853

_____________________                           +6

                     29                           ____________________

                    -23                                         4,859

_____________________

                       6

i need help figuring out the answer 72 + (7x+24)=180 for Parallel Lines and Transversal

Answers

Answer:

x=12

Step-by-step explanation:

20. A magnifying glass shows the image of an object that is 6 times the object's actual size. Determine the
actual length of the object if the image is 120 mm.

Answers

Answer:

20 mm

Step-by-step explanation:

Divide 120 by 6

m $1+m $2+90°=180°
What property is this pleaseee

Answers

Answer:

math <3

Step-by-step explanation:

help plz will give brianlyest ​

Answers

Answer:

ez kiddo

Step-by-step explanation: so it is 43.8 because i had a quiz just like that and i got the answer wrong but i remember the answer

please help and don't use links:)​

Answers

transitive property

because since we AB is congruent to BC and BC is congruent to XY then AB would be congruent to XY

hope this help<33

Solve the equation.
6 = 3s
what is s?????

Answers

The variable s I equal to the number 2
Answer:
s = 2

Steps:
To figure out what s is equal to you need to get it alone. You can do this by dividing 3 on both sides to get s alone.

6/3 = 3s/3

2 = s

I will give BRAINlIEST if u explain how to solve these plz!!!

Answers

Answer:

i dont have any idea.....my brain is full of BTS

Step-by-step explanation:

Answer:

Question 4: [tex]\frac{8}{1}[/tex]

Question 5: [tex]\frac{4}{5}[/tex]

Question 6: [tex]\frac{2.5}{1}[/tex]

Question 7: [tex]\frac{1}{1}[/tex]

Step-by-step explanation:

The way to solve these types of questions, also know as "slope" is solved in the format [tex]\frac{y-y}{x-x}[/tex] (y minus y over x minus x) which also can be known as [tex]\frac{rise-rise}{run-run}[/tex] (rise minus rise over rune minus run). To solve this you can choose any two sets of numbers (the top and the bottom of a chart is 1 set) and you use its numbers to find the slope. One important rule when solving for slope is to never write your answer in decimal form and rarely write your answer as a whole number always answer questions in fraction form!!!! Anyway, the y and the x are already given so no need to find those as well. Here's the solving of all questions:

4.

for this question I choose the number sets:[tex]\frac{24}{3} and, \frac{32}{4} in. ..equation... written... as, \frac{24-32}{3-4}[/tex]

so, now the easy part, 24-32=-8

Next we solve the bottom, 3-4=-1

so we end up with [tex]\frac{-8}{-1}[/tex] and when we simplify it can be written as [tex]\frac{8}{1}[/tex] or just 8 (I recommend to always write in fraction form because some teachers will remove points if its not in fraction form).

5.

Now, for the rest of the problems I wont explain the solving process.

[tex]\frac{60}{185} and\frac{100}{235} written...as,\frac{60-100}{185-235}[/tex]

60-100=-40

185-235=-50

[tex]\frac{-40}{-50} simplify...to,\frac{4}{5}[/tex]

6.

[tex]\frac{12.5}{5} and\frac{25}{10} written...as,\frac{12.5-25}{5-10}[/tex]

12.5-25=-12.5

5-10=-5

[tex]\frac{-12.5}{-5}simplify...to,\frac{2.5}{1}[/tex] or 2.5 (I recommend to always write in fraction form because some teachers will remove points if its not in fraction form).

7.

[tex]\frac{4}{2} and\frac{5}{3} written...as,\frac{4-5}{2-3}[/tex]

4-5=-1

2-3=-1

[tex]\frac{-1}{-1}simplify...to,\frac{1}{1}[/tex] or 1 (I recommend to always write in fraction form because some teachers will remove points if its not in fraction form).

Hope this helped, please give mw brainiest I spent half an hour on this :D

        -Thanks for your time.

can someone tell me the answer simplified

Answers

Answer

7xy+2xt

Step-by-step explanation:

This will help you. This is the answer that is simplified

Can someone please help, I will give brainiest. If possible explain please.

Answers

Step-by-step explanation:

The angles (8x + 28) and (4x - 7) are supplementary to each other so we can write

[tex](8x + 28) + (4x - 7) = 180 \Rightarrow 12x + 21 = 180[/tex]

or

[tex]x = 13.25[/tex]

Also, note that the angle (4x - 7) and [tex]\angle{TQS}[/tex] are vertical angles, which means that they are equal to each other. Therefore,

[tex]\angle{TQS} = 4x - 7 = 4(13.25) - 7 = 46°[/tex]

please solve thank you​

Answers

Answer: probably A

Step-by-step explanation:

What is the coefficient of the first term in this expression?
4r+q3r2+8q2r

Answers

Answer:

4

Step-by-step explanation:

2. Describe ALL of the key features​

Answers

     The y-intercept is 2 because the line intercepts the y-axis at 2. The slope is negative because it is going down from the top left to the bottom right. The slope is -1 because the change in y over change in x results in 1 and it is negative. The equation for the line is y = -x + 2

     I hope this helps, have a nice day! :D

Can please help me simplify this please


3/8

6/15

Answers

3/8 -> 3/8 (it is fully simplified)

6/15 -> 2/5 (dividing the top and the bottom by 3)

Have a nice day!

     If this is not what you are looking for - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather


Find the unit rate. A dozen cookies sells for $5.12. Round to the nearest cent.

Answers

Answer:

5.15

Step-by-step explanation:

Jocelyn has $1.95 in her pocket made up of 27 nickels and
dimes. How many of each type of coin does she have?

Answers

Answer:

she has twelve dimes hope this helps out

Hep help help help hell

Answers

Answer:

[tex] \frac{2x + 4}{2} < 6 \\ 2x + 4 < 2 \times 6 \\ 2x + 4 < 12 \\ 2x < 12 - 4 \\ 2x < 8 \\ x < \frac{8}{2} \\ \color{blue} \boxed{x < 4}[/tex]

In the old west, the pony express could deliver 150
pieces of mail by horseback in 3 days. At this rate, how
many pieces of mail could they deliver in 5 days?

Answers

Answer:

750 peices of mail

Step-by-step explanation:

150 times 5 is 750

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