When 3 times a number is added to the square of the number, the result is 40. Determine the number

Answers

Answer 1

Answer:

5 or -8

Step-by-step explanation:

[tex](3 \times x) + x {}^{2} = 40[/tex]

[tex]3x + {x}^{2} = 40[/tex]

[tex] {x}^{2} + 3x - 40 = 0[/tex]

using factorization method

[tex]( {x}^{2} + 8x) ( - 5x - 40) = 0[/tex]

[tex]x(x + 8) - 5(x + 8) = 0[/tex]

[tex](x - 5)(x + 8) = 0[/tex]

[tex]x - 5 = 0[/tex]

or

[tex]x + 8 = 0[/tex]

[tex]x = 5[/tex]

or

[tex]x = - 8[/tex]


Related Questions

Which expressions are equivalent to 3x+3(x+y)3x+3(x+y)3, x, plus, 3, left parenthesis, x, plus, y, right parenthesis

Answers

The question is incomplete. The complete question is :

Which expressions are equivalent to 3x+3(x+y)3x+3(x+y)3, x, plus, 3, left parenthesis, x, plus, y, right parenthesis ? Choose all answers that apply:

(Choice A) A 6x+3y6x+3y6, x, plus, 3, y

(Choice B) B 3(x+x+y)3(x+x+y)3, left parenthesis, x, plus, x, plus, y, right parenthesis

(Choice C) C 3xy3xy

Solution :

The equation is given as follows :

3x + 3(x+y)

We can simplify the equation in order to determine the equivalent expression.

Now applying the distributive property,

[tex]$3x+(3)(x)+(y)(3)$[/tex]

[tex]$=3x+3x+3y$[/tex]

When we add the like terms we get :

3x+3x+3y = 6x + 3y

When we factor out the term 3, we get :

3x + 3x + 3y = 3(x + x + y)

So, the expressions in options (B) and (C) are equivalent to the expression 3x + 3(x + y).

Answer:

Step-by-step explanation:

The question is incomplete. The complete question is :

Which expressions are equivalent to 3x+3(x+y)3x+3(x+y)3, x, plus, 3, left parenthesis, x, plus, y, right parenthesis ? Choose all answers that apply:

(Choice A) A 6x+3y6x+3y6, x, plus, 3, y

(Choice B) B 3(x+x+y)3(x+x+y)3, left parenthesis, x, plus, x, plus, y, right parenthesis

(Choice C) C 3xy3xy

Solution :

The equation is given as follows :

3x + 3(x+y)

We can simplify the equation in order to determine the equivalent expression.

Now applying the distributive property,

When we add the like terms we get :

3x+3x+3y = 6x + 3y

When we factor out the term 3, we get :

3x + 3x + 3y = 3(x + x + y)

So, the expressions in options (B) and (C) are equivalent to the expression 3x + 3(x + y).

If who answers fast, correct and first, I WILL GIVE YOU THE BRAINLIEST!!!!!!!!!!!

Answers

Angles in a triangle add up to 180 degrees so
41+71=112
180-112=68
Angle of BAC=68 degrees

what is the souloution to the equation x^2-4x+4=2x

Answers

Answer:

x=3+sqrt5, x=3-sqrt5

Step-by-step explanation:

can someone please help me is the answer-8​

Answers

Answer:

h(-8)=-8

Step-by-step explanation:

Since we are finding h(-8), we plug -8 into the equation:

h(-8)=((-8)²+3(-8))/(4(-8)+27)

h(-8)=(64-24)/(-32+27)

h(-8)=40/-5

h(-8)=-8

Therefore, h(-8)=-8, which means your answer is correct!

there are 6 soccer teams playing in a weekend tournament. 2 players are removed from each team to form a new team. The total number of players at the tournament is 90 .....
I NEED HELPPPPP PLEASEEEEEE​

Answers

Yes I think 24 is 1 and I can

Please help me with my geometry

Answers

The answer is A❤️, if it helps compare the slashes on the sides of your shape!

Answer:

ab=de, bc=ef, ac=df

Step-by-step explanation:

The 30 female nurses at Memorial Medical Center make up 15% of the entire Med Center personnel. What is the total number of employees at Memorial Medical Center?

Answers

Answer:

200 employees

Step-by-step explanation:

The 30 female nurses at Memorial Medical Center make up 15% of the entire Med Center personnel. What is the total number of employees at Memorial Medical Center?

Let the total number of employees = x

Our Equation=

15% of x = 30 female nurses

15/100 × x = 30

15x /100 = 30

Cross Multiply

15x = 100 × 30

x = 3000/15

x = 200

Number of employees = 200

HELP ASAP!!!!! 25 POINTS + BRAINLIEST!!!!



(if it is not a ligament answer, i will report)

Answers

Answer:

2 x 3(x + 4) + 2 x 7(x + 2) = 20x + 52

Step-by-step explanation:

2 x 3(x + 4) + 2 x 7(x + 2) = 6x + 24 + 14x + 28 = 20x + 52

NEED ASAP Which line is parallel to the line y=4x-2?

Answers

Answer:

y = 4x + 1

Step-by-step explanation:

Given the equation y = 4x - 2, we need to find the equation parallel to this line. Note that for two equations to be parallel to each other, the must have the same slope

Standard form of an equation is y = mx + b

Compare;

mx = 4x

m = 4

Since the slope of the given equation is 4, the required equation must also have a slope of 4

Since we are not given an option, we can assume any equation with a slope of 4

y = 4x + 1 will be parallel to the given equation since they both have the same slope

Note that the equation can be different so far they have the slope of 4

Can someone please help me!!!

Answers

Answer: x=20

Step-by-step explanation:

If im wrong, sorry

The angles of a triangle add up to 180 degrees.

(3x+5)+(2x+17)+(2x+18)=180

add the ones alike

3x + 2x + 2x=7x

5+17+18=40

so, 7x+40=180

we need to get the variable by itself so we take away 40 first by subtracting it from both sides of the equal sign

7x=140

we take away 7 from x by dividing it- opposite of multiplication is division

x=20

Answer:

x = 20

Step-by-step explanation:

3x+5° + 2x+18° + 2x+17° = 180° (sum of interior angles in a triangle is 180°)

collect like terms

3x + 2x + 2x + 5° + 18° + 17° = 180°

7x + 40° = 180°

solving for x

x = (180 - 40)/7

x = 140/7

x = 20

Ms. Burk asked her students to simplify expressions. The students answers 4 points
are in the table below. Select the correct option for each expression. *
Student Equivalent Expressions
Emily 3t + 5t - 2t = 6t
Joseph 6(2b + 5) = 12b x 30
Nico
2(5r - 9) = 10r - 18
Katie 5(4d - 5) =20d - 25

Answers

Answer: is the teacher mr.Burks? what school you go to if it is costa mesa high i know i had her and still have the notes!

i think it its nico and katie but just wait for someone else to answer

Step-by-step explanation:

need help pls
......​

Answers

Answer:

I believe B is the correct answer ?

Step-by-step explanation:

Since the is a negative sign already there that turns the -3 into just 3 so the equation turns into 3-6 which is -3 so...

3-6<3.5

Help not much time left its due in 20 mins

Answers

Answer:

The slope is 2/3

Step-by-step explanation:

To get from one dot to the next...

You go up 2 units and to the right 3 units

2/3 I think(sorry if you got it wrong)

In Hillsboro's wig shop, 1/2 of the wigs are blonde and 1/12 of the wigs are brunette. What fraction of the wigs are either blonde or brunette?

Answers

Answer:

7/12

Step-by-step explanation:

So, the probability of picking up a blonde wig = 1/2

The probabiliy of picking up a brunette wig = 1/12

The question asks to find th eprobability of picking up either of these types of wigs =

1/2 + 1/12

= 6/12 + 1/12 ( LCM of 12 and 1 is 12 )

= 7/12

Hope this helps

Uehehejjdjdjejjejejjdjdjejejejejejjejejejeejjd

Answers

Answer:

kgkbfkbfbk3grrkmfbhrfikrk

Answer:

thank you for the free point i guess

Step-by-step explanation:

can u mark me brainlest plz

gjnrijnrtibfnsibneifn

You can buy 5 pens for $3.75 What is the price for 1 pen?

Answers

Answer: 0.75

Step-by-step explanation:

3.75/5 = 0.75$

Wyatt does 29 push-ups in the morning and 36 more push-ups in the evening. If he does the same number of push-ups every day of the week for 4 weeks, about how many push-ups will he do in all?

Answers

Answer: 1,820 Pushups

Step-by-step explanation: 29+36=65

65 x 7 (days in a week)=455

455 x 4(as in the 4 weeks)=1,820 Pushups total

I hope this helped! let me know if you need more help! :)

PLEASE HELP. NO LINKS. NEED REAL EXPLANATION.

Find the volume of a cone with a height of 8in and a base radius of 3in.

Use the value 3.14 for pi, and do not do any rounding. Be sure to include the correct unit in your answer.

Answers

Answer:

75.36 in3

Step-by-step explanation:

Mark me brainliest?

This is the correct answer with the right steps to help you solve this problem. The Formula for the cone is (pi r^2)(h)/ 3

How many ounces are in 18 pounds?

144 ounces

180 ounces

216 ounces

288 ounces

Answers

Answer:

it would be 288

Step-by-step explanation:

there are 16 ounces in 1 pound so if you took 16 x 18 it would give you 288.

i did that becasue if theres

so with 18 pounds and 16 onzes are in 1 pound so I multipyed them togher to get 288

i checkd this with my bio teacher she said 288 is corrcet.

Order these numbers from greatest to least: 425
4
25
, 0.40, 4%, 38%.

Answers

Answer:

425, 25, 4, 0.40, 38%, and 4%.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Answer:

425, 25, 4, .40, 38%, 4%

Step-by-step explanation:

38% is equal to .38 and 4% is equal to .04

they're less than .40 so they are at the end.

Calculate the discriminant f(x)=x2-4x+7

Answers

Answer:

Option 1,3,4,6 are correct

Explanation

Step-by-step explanation:

we have formula for discriminant that is D=b^{2} -4acD=b

2

−4ac

when D>0 the roots are real and unequal

when D= 0 roots are real and equal

and when D< 0 roots are imaginary or not real and unequal

In 1st equation: x^2+6x+8x

2

+6x+8

a=1,b=6,c=8 on substituting the values in the formula we will get

D=6^2-4(1)(8)=4 > 0D=6

2

−4(1)(8)=4>0 hence real and unequal roots.

In 2nd equation:x^2+4x+8x

2

+4x+8

a=1,b=4,c=8 on substituting values in formula

D=4^2-4(1)(8)=-16 < 0D=4

2

−4(1)(8)=−16<0 so roots are not real

In 3rd equation x^2-12x+3x

2

−12x+3

a=1,b=-12,c=3 on substituting values

D=D=(-12)^2-4(1)(3)=132 > 0D=(−12)

2

−4(1)(3)=132>0 roots are real and unequal

In 4th equation: x^2+4x-1x

2

+4x−1

a=1,b=4,c=-1 on substituting the values

D= 4^2-4(1)(-1)=20 > 0D=4

2

−4(1)(−1)=20>0 real roots

In 5th equation:5x^2+5x+45x

2

+5x+4

a=5,b=5,c=4 on substituting the values

D=5^2-4(5)(4)=-55 < 0D=5

2

−4(5)(4)=−55<0 roots are not real

In 6th Equation: x^2-2x-15x

2

−2x−15

a=1,b=-2,c=-15 on substituting the values

D=(-2)^2-4(1)(-15)=64 > 0D=(−2)

2

−4(1)(−15)=64>0 roots are real

Let f(x)=-3x+7 and g(x)=2x^2-8
Find f(x)+g(x)
Choose the best answer
A)-2x^2 - 3x +15
B) -x^2 - 1
C) 5x^2 +15
D) 2x^2 - 3x - 1​

Answers

Answer:

D

Step-by-step explanation:

What is the area 38cm 16cm 20cm 18cm​

Answers

Just need to sub numbers into the formula

The heights of all 12-year old girls in the U.S. Are normally distributed with a mean of 60.5 inches and a standard deviation of 3 inches. What is probability that a girl chosen at random from a that age group with have a height of at least 69.5 inches?

Answers

Answer: 6 inches is the average pp

what is the volume of the cylinder below?

Answers

=2448pie
V=hxpiex r^2
V=17x (12)^2x pie
V=2448 pie

Answer:

B. 2488π

Step-by-step explanation:

Formula: πr2h

π x 12^2 x 17 = π x 144 x 17 = 2488π

Kyle collects rainwater in two barrels. Last week one barrel collected 1.46 gallons of rainwater. The other barrel collected 0.751 gallon of rainwater.

What was the total amount of rainwater that Kyle collected last week?

Answers

Answer:

Step-by-step explanation:

Total amount of rainwater that Kyle collected = 1.46 + 0.751 = 2.211 gallons

Factor the polynomial by its greatest common monomia
365 + 1564 - 1867

Answers

62 for bc you take always the 1867 with the rest

WILL MARK BRAINLIEST
4. Find x.
A) 10
B) 10.5
C) 11
D) 11.5

Answers

10.5 ( near parallel to the one next to x which will equal 11 or 11.5 but 10.5 is associated with its compression.

Answer = 10.5

(thanks if you give branliest it is always appreciated)

need it done quickly​

Answers

Answer:

363636

Step-by-step explanation:

756 x 481

simplify y = (204 - 12p) /12

Answers

Answer:

y = 17 - p

Step-by-step explanation:

Given y = (204 - 12p) /12

we need to simplify

To do so all we have to do is divide what is inside of the parenthesis by 12

204/12=17

-12p/12=-p

we're left with y = 17 - p

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