If 18 is subtracted from twice the square of an integer, the
result is equal to nine times the integer. Find the integer.
[Only an algebraic solution will be accepted.]

Answers

Answer 1

Answer:

-3/2

Step-by-step explanation:

Let x = the integer:

2x^2 - 18 = 9x

2x^2 - 9x - 18 = 0

Now either factor that or use the quadratic formula if you're lazy like me.

x = -3/2 and 6, so x must be 6 because it has to be an integer.


Related Questions

what is the place value of 3 in 553 049 270?​

Answers

Answer:

1 million

Step-by-step explanation:

Start counting at position 0, the rightmost position has value 10⁰ = 1

The one left to that 10¹ = 10

... and so forth ...

The 6th position has value 10⁶ = 1000000, a.k.a. one million.

The place value of 3 in 553 049 270 is 1 million.

Here the number is given as 553 049 270.

We have to find the place value of 3 in given number.

What is Place value?

Place value is describe the position or place of a digit in a number.

Now,

To find the place value of 3;

Start counting at position 0, the rightmost position has value [tex]10^{0}= 1[/tex]

The position of 7, one left to 0, has value [tex]10^{1} = 10[/tex]

------ and so on.

Now, position of 3 is 6th position has value [tex]10^{6} = 1000000[/tex]

So, The place value of 3 in 553 049 270 is 1 million.

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PLEASE HELP I WILL GIVE BRAINLEST.
A rectangle with an area of 58 ft² is dilated by a factor of 8.



What is the area of the dilated rectangle?

Enter your answer in the box. Do not leave your answer as a fraction.


ft²

Answers

Answer:

The correct answer is 40

Step-by-step explanation:

I took the quiz

What is the value of x in the figure at the right?

50
62
68
112

Answers

Step-by-step explanation:

step 1. 50° + 62° = x by means of corresponding angles.

step 2. x = 112°

find the product of 1x6x6

Answers

36 is the answer yes yes yes

Answer:

36

Step-by-step explanation:

1x6=6

6x6=36

Hope this helps! :)

-a^2+7b^4-2c^3 if a= -4 b= -2 and c=-3

Answers

Step-by-step explanation:

-(-4)²+7(-2)⁴-2(-3)³

=16+7(16)-2(-27)

=15+112+54

=181

The evaluation of the expression is 150.

What is an expression?

In mathematics, expression is the combination of variables with the application of operations and prescribed rules. It might take the shape of an equation, some numbers, etc.

The given expression is:

-a² + 7b⁴  -2c³

Substituting, a= -4 b= -2 and c=-3

-a² + 7b⁴  -2c³

= -(-4)² + 7(-2)⁴  -2(-3)³

= -16 + 7 x 16 + 54

= 150

Therefore, the value of the expression is 150.

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ignore the green line

Answers

Answer:

What are the answer choices? please post it I really want to help

Step-by-step explanation:

Answer:

I don't get this but it might be -12 for K and -3 for I and -6 for J

Step-by-step explanation:

Select the correct answer. What is the solution to the equation?
square root of x-3 + 1 = 6
64
46
28
22​

Answers

Answer:

Correct answer is 28

Step-by-step explanation:

The solution to the equation is 8.

What is a solution?

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We have,

x - 3 + 1 = 6

Solve for x.

x - 2 = 6

x = 6 + 2

x = 8

We can cross-check.

x - 3 + 1 = 6

8 - 3 + 1 = 6

9 - 3 = 6

6 = 6

True

Thus,

The solution is 8

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What is the answer to 3x(2 1/5)=

Answers

Answer:

(6 3/5) * (x)

Step-by-step explanation:

3x(2 1/5)= (6 3/5) * (x)

Answer:

6 3/5

Step-by-step explanation:

Can someone help me with math?

Answers

Answer:

The second step because she distributed within the parentheses without adding the negative sign to 13

You make $8.00 an hour for regular time and time and a half for every hour of overtime.
If you worked 40 hours of regular time and 5 hours of overtime, how much did you
earn?

Answers

Answer:

$380.00

Step-by-step explanation:

Regular time: $8.00 x 40 = $320.00

Overtime: (8 x 1.5) $12.00 x 5 = $60.00

Total: $380.00

18=a ÷ 12


Find the introvert

Answers

Answer:

a = 216

Step-by-step explanation:

X squared + 3x - 4 = 6

Answers

Hi there!

3x-4=6

To find x, add 6 with 4 then divide by 3...

[tex]6+4=10[/tex]

[tex]10[/tex]÷[tex]3=\frac{1}{3}[/tex]

Final Result: x=1/3

What is the exact circumference of the circle?

27 cm
47 cm
8 cm
167 cm

Answers

Answer:

27

Step-by-step explanation:

27 is the wright answerhope it helps you

Find the slope of the line represented in the table.
x

Answers

Answer:

The slope is -3

Step-by-step explanation:

Use the slope formula to find the slope.

The formula is .... ⏬

WILL GIVE BRAINLIEST

A Fast Food Restaurant is offering 5 different toys in a kid's meal. A simulation was conducted to predict how many kid's meals must be bought in order to get all 5 toys. The results of 30 trials are shown in the stem and leaf plot below. (Each data point represents the number of kid's meals one person had to buy to receive all 5 toys.)

Based on the results of the simulation, what is the total number of people out of 200 who would need to buy less than 10 boxes of cereal to get all 5 toys?  Show or Explain or work.

Answers

Answer:

Step-by-step explanation:

look for the stem and leafs that are less than 10 and add them all up

5+7+9

the length of the rectangle is 3 times the width. The perimeter is 65.6cm. find the width

Answers

Answer:

Step-by-step explanation:

L = 3W

Perimeter = 2L + 2W = 2(3W) + 2W = 8W

8W = 65.6 cm

W = 8.2 cm

1. Suppose that

O = {o, r, a, n, g, e}, A = {a, p, 1. e}, B = {b, a, n}.

Put one of the symbols E and €.

a) r... 0

b) p ... A

Answers

Answer:

a) r ∈ O

b) p ∈ A

Step-by-step explanation:

Given:

[tex]O=\{0,r,a,n,g,e\}\\A=\{a,p,1,e\}\\B=\{b,a,n\}[/tex]

To put: symbols ∈ or ∉ in the blanks.

Solution:

A set is a well - defined collection of objects.

In mathematics, an element of a set refers to the object that belong to that set.

a) r ∈ O

b) p ∈ A

HELPP!!! What is the measure of y? 4 9

Answers

Answer:

6

Step-by-step explanation:

4 × 9 = [tex]\sqrt 36[/tex] = [tex]\sqrt{6}[/tex]

The value of y is 6 units obtained by applying pythagoars's theorem in all possible right-angled triangles.

What is Pythagoras's theorem?

In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

From the figure, we have three unknowns x, y, and z and we have 3 right-angled triangles so three equations can be formed.

x² = 4² + y²...(i)

z² = 9² + y²...(ii)

(4 + 9)² = x² + z²

13² = x² + z²...(iii)

Now, Subtracting eqn(ii) from eqn(iii) we have.

  169 = x² + z²

(-)  81 = -(y)² + z²

-------------------------

88 = x² + y²...(iv).

Now adding eqn(i) and eqn(iv) we have,

2x² = 104.

x² = 52.

Putting this value in eqn(i) we have,

52 = 16 + y².

y² = 36.

y = 6.

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1. (a) Find the remainder when 5x2 – 3x + 6 is divided by 2x-1​

Answers

Answer:

The answer is 5/2X - 1/4. The remainder is 23/4.

I need help!!!!! Solve for n 6n=72

Answers

Answer:

6n=72

n=72/6

n=12

.....................

Answer:

n = 12

Step-by-step explanation:

n = 72÷ 6

n = 12

thats the answer

A tank contains 1000L of pure water. Brine that contains 0.02kg of salt per liter enters the tank at a rate of 5L/min. Also, brine that contains 0.07kg of salt per liter enters the tank at a rate of 10L/min. The solution is kept thoroughly mixed and drains from the tank at a rate of 15L/min. Answer the following questions.

a. How much salt is in the tank after t minutes?
b. How much salt is in the tank after 4 hours?

Answers

Answer:

51.877 kg

Step-by-step explanation:

a

See attachment for calculations

b

The amount of salt in the tank after 4 hours is gotten by simply replacing t in the equation from a, with 4 hours. Since the t gotten in a above is in minutes, we'd convert hours to minute as well. If we do that, we have

t = 4 hours = 4 * 60 minutes = 240 minutes

y = 160/3 (1 - e^((-3 * 240)/200))

y = 160/3 (1 - e^(-720/200))

y = 160/3 (1 - 0.0273)

y = 160/3 (0.9727)

y = 51.877 kg

Therefore, the amount of salt in the tank after 4 hours is 51.877 kg

For the past three years, Nigel has grown 1 1/5 inches each year. How many total inches has he grown in the past three years?

Answers

Answer: 3.6? I believe is the right answer.

:D

Step-by-step explanation: 1 1/5 times 3 is how I got 3.6

Answer:

3 3/5

Step-by-step explanation:

Nigel would have grown 3 3/5 inches in the past 3 years

( 6/5 x 3/1 )

( =18/5 )

and then you would be simplifying 18/5

and that's how you would get your answer 3 3/5

.......Can I please be marked Brainliest

please thank you:)

PLEASE HELP ITS OVERDUE PLEASE I NEED HELP!!

Answers

Answer:

B

Step-by-step explanation:

it has a line of 1/12 so every shirt is $12

six times the sum of a number and 8 equals 2

Answers

Answer:

24

Step-by-step explanation:

6*8x:2

48x:2

x:48/2

x:24

Solve for x in the problems below

Answers

Answer:

a)......1+2=90 degree.....

so,x+x-20=90=2x=110

x=55degree

Step-by-step explanation:

b)let it be a triangle....angle1=56

2=y

3=29....by vertically opposite angles

by ext angle property... x= 1+3=56+29= 85

Answer:

55 degrees is the answer

What is 859 divided by 3? use this strategy get the answer.

Answers

Answer:

286.33

Step-by-step explanation:

(a) The area of a rectangular garden is 7371 m².
If the width of the garden is 81 m, what is its length?
What is the Length of the garden:

Answers

Answer:

length = 91 m

Step-by-step explanation:

area = length * width

so,

7371 = length * 81

cancel out 81 by dividing on both sides

91 = length

what must be added to each term of the ratio 3:5, so that it becomes 4:5​

Answers

Answer:

5 must be added to both the terms to get the ratio 4:5.

Step-by-step explanation:

(3+x)/(5+x)=4/5

Therefore,

15+5x=20+4x

=5x-4x=20-15

=x=5

I hope it's helpful!

Answer:

3+y/5+y=4/5

let y be the no.to be added

5(3+y)=4(5+y)

15+5y=20+4y

-5= -y

y=5

U=x/k solve for x HELP THIS IS DUE IN 30 MIN

Answers

Answer:

first you multiply both sides by k. that makes kU equals x

please help me , i need this like right noww pleaseeeeeeee !!!!!!!!

Answers

Answer: -9

Step-by-step explanation:

KH = x -1 and Eh =2x-12

2x-12 =10-1=9

The answer should be -9
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