Four times of a positive integer is less than twice its square by 10. Find the integer.
Answer:

Answers

Answer 1

Step-by-step explanation:

Let the integer be x.

4 times of positive integer = 4x

Twice its square = 2x²

Less by 10

ATQ,

[tex]2x^2-4x-10=0\\\\x^2-2x-5=0\\\\x=3.44, -1.44[/tex]

Hence, this is the required solution.


Related Questions

The table shows the distance, in feet, a ball travels t seconds after being dropped from a 980-foot building. The equation d(t) = 9.8t2 models the function shown in the table. What are the restricted domain and range of the function? D = {0, 2, 4, 6, 8} and R = {0, 39.2, 156.8, 352.8, 627.2} D = {0 ≤ t ≤ 8} and R = {0 ≤ d(t) ≤ 627.2} D = {0 ≤ t ≤ 8} and R = {0 ≤ d(t) ≤ 980} D = {0 ≤ t ≤ 10} and R = {0 ≤ d(t) ≤ 980}

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

On edge

5x + y = 13
3(x + y) =12+ y

Answers

Answer :
X=2
Y=3
..........

Which benchmark fraction is 6/7 closest to?
A.1/4
B.1/2
C.4/4
D.3/4

Answers

Answer:

C, 4/4

Step-by-step explanation:

6/7 is closest to 1 whole. 4/4 = 1 whole, so it is closest to this, disregarding the size difference of the fractions.

Question 10
- 6x + 4y = -12

Answers

Answer 2/3y+2

Step-by-step explanation:

Answer:

divide y y by 1 1 . Divide 8 8 by 4 4 . Using the slope-intercept form, the slope is 0

Step-by-step explanation:

A student compiled a list of daily low temperatures (in °F) that she observed at her college last semester. The
coldest temperature for any day was 31°F, but she mistakenly recorded this as 13º. How will this error affect the
following summary statistics?
a) The mean will
be higher
and the median will
b) The standard deviation will be lower.
be higher.
be lower
not be affected.

Answers

A I believe hope this helps

which one is the missing proof?

Answers

Answer:

By ASA congruence theorem

Step-by-step explanation:

Given:

In ΔFEG AND ΔKHG

FG = KG (Mid points)

∠EGF = ∠HGK (vertical opposite angle)

∠F = ∠K (Interior alternate angle)

So,

ΔFEG ≅ ΔKHG

By ASA congruence theorem

5x+30=45 solve for x​

Answers

Answer:

3

Step-by-step explanation:

5x=45-30

5x =15

divide both sides by 5

x=3

I NEED HELP ASAP PLEASE AND THANK YOU.

Answers

Answer:

C

Step-by-step explanation:

Happy Holidays ❄️☃️

If it takes you 40 seconds to travel from the first floor of a building to the third floor, how long will it take to travel from the first floor to the eighth floor (at the same pace, assuming all floors have equal height)? State your answer in seconds.

Answers

Answer: 104 seconds.

Step-by-step explanation: if it takes you 40 seconds to travel from the first to the third floor, then to pass one floor it will take 13 seconds. 40 divided by 3 which is 13. you then do 13x8 to figure out the time it would take you to travel through all the floors which is 104 seconds.

40/3 = 13

13 x 8 = 104

The answer is 104.

points A,B,and C are collinear. Point B is between A and C. AC= 3x+3, AB= -1+2x, and BC= 11. Find x

Answers

The value of x is -15 units when points A,B,and C are collinear. Point B is between A and C.

What is line segment?

It is a part of line having two ends points.

The simplest definition of a line is an arrangement of points that extends in opposite directions to infinity, while a ray is a section of a line that has one endpoint and extends continuously in one direction, while a segment of a line is a section of a line between two endpoints.

Here, it is given that points A,B and C are collinear that is all lies in the same plan and also :

Length of AC = 3x+3

Length of AB = -1+2x

and, BC = 11 units

Now, to calculate x we subtract length AB with AC and equate it to length of BC that is 11 units :

AB = AC + BC

-1+2x = 3x+3 + 11

3x-2x = -1 -3 - 11

x = -15 units

Therefore, the value of x is -15 units when AC= 3x+3, AB= -1+2x, and BC= 11.

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Find the value of the variable

Answers

Answer:

z: 19

Step-by-step explanation:

Travis's income is $3400 a month, and he plans to budge 3/8 of his income of savings and 1/3 of his income for groceries.

Step 2: What amount of money does he intend to spend each month of these items together? Round your answer to the nearest dollar.

Answers

Travis's will spend each month is $2,408

How to calculate the amount Travis will spend each month ?

Travis income is $3400

He plans to budge 3/8 of his income on savings
He also plans to give 1/3 of the income on groceries

The amount spent on savings is

= 3/8 × 3400

= 3 × 425

= 1,275

The amount spent on groceries is

1/3 × 3400

= 3400/3

= 1,133.33

The amount spent altogether is

1,133.33 + 1,275

= 2,408.3

Hence the amount Travis spent from his income each month is $2,408

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A pool measures 14 feet by 23 feet and it is surrounded by a 5-foot
deck. How much fencing is needed to fence the outside of the deck?
www.
5 ft
14 ft
The length of fence required to enclose the outside of the deck is 64.4 feet.
23 ft
5 ft
5 ft
5 ft

Answers

Answer: 114 feet of fencing

Step-by-step explanation: If there are five feet of decking on each side, then the outside lengths we're looking at are 33 ft. and 24 ft. 33+24=57, and 57x2(for the other two sides)=114 ft.

QUICK I NEED HELP PLEASE ANSWER QUESTION

Answers

Answer: All of the < symbols should be [tex]\leq[/tex]

A total of 6 cups of flour were used to make 4 pans of brownies. Which graph has a
slope that best represents the number of cups of flour used per pan of brownies?
Brownies

Pls help give brainly

Answers

i think its option G (if correct plz mark brainliest)

How many works can be formed for rearranging the letters of the word PROBLEMS such that P and S the first and last position respectively

Answers

As p and s should occupy the first and last position, the first and last position can be filled in only one way. The remaining 4 positions can be filled in 4! Ways by the remaining words (S,C,E,N,T). hence by rearranging the letters of the word ASCENT we can form 1x4!

a) 2 numbers have a HCF (highest common factor) of 18 and LCM (lowest common multiple) of 360. What could the 2 numbers be?

b) Emily thinks of 2 numbers. The HCF of the two numbers is 1. The LCM of the 2 numbers is a multiple of 40. Write down 2 possible numbers that Emily could be thinking of.

c) Niamh thinks of 2 numbers. The HCF of the two numbers is 8. The LCM of the two numbers is a multiple of 5. Write down 2 possible numbers that she could be thinking of.

Please help, and include an explanation as I would like to understand it!

Answers

The true statements about the numbers are:

The two numbers could  be 180 and 36The two numbers could  be 10 and 4The two numbers could  be 8 and 5

How to determine the two numbers each individual thinks?

As a general rule, the product of any two numbers equals the product of the LCM and HCF of the numbers

Say, the two numbers are x and y;

Then, we have

x * y = LCM * HCF

Using the above as a guide, we have

Two numbers

x * y = 18 * 360

Express 360 as 10 * 36

x * y = 18 * 10 * 36

So, we have

x * y = 180 * 36

This means that

x = 180

y = 36

Hence, the two numbers could  be 180 and 36

Emily's numbers

x * y = 1 * 40

Express 40 as 10 * 4

x * y = 1 * 10 * 4

So, we have

x * y = 10 * 4

This means that

x = 10

y = 4

Hence, the two numbers could  be 10 and 4

Niamh's numbers

x * y = 8 * 5

Express 8 as 4 * 2

x * y = 4 * 2 * 5

So, we have

x * y = 8 * 5

This means that

x = 8

y = 5

Hence, the two numbers could  be 8 and 5

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what is 1 and 8/10 minus two and 2/5?

You get 29 points for answering!

Please answer question correctly and with explanations!

Answers

1 and 8/10-2/5 also known as 1 and 8/10- 4/10 so it is 1 and 4/10

A tailor has a glass jars on a shelf.
Each jar holds 242 buttons. How many
buttons does the tailor have in all?
A 1,868
B) 1,800
C) 2,360
D) 2,178

Answers

Answer: D.

Step-by-step explanation: You can only have a whole number of jars. If you divide options A, B, and C, you will get a number with a wild decimal. Option D is correct because 2,178 divided by 242 is 9, which does not have a wild decimal.

I GIVE BRAINLILSET
\\\\\\\\\\\\\\\\\\

Answers

Answer:

H) 20%

Step-by-step explanation:

40 - 32  = 8

8/40 = .2

What is the answer to this equation 12-1/4=

Answers

Answer:

11 3/4

Step-by-step explanation:

12-1/4=11 3/4

Answer:

11.75

Step-by-step explanation:

1/4=.25

12-0.25=11.75

-4 -5c - 6 + 5c - 2c

Answers

Answer:

-4 -5c -6 +5c -2c

-2c -10

Step-by-step explanation:

Answer:

-2c-10 :)

Step-by-step explanation:

What is the surface area?

Answers

2(4*8) + 2(12*4) + 2(12*8)

= 352 cm^2

I took every face alone (6 in total) and multiplied Length by width. You have two from every face.

convert x - 2y = 0 into slope intercept form then graph

Answers

Answer:

y = [tex]\frac{1}{2}[/tex]x

(See the attachment)

Step-by-step explanation:

x - 2y = 0

-2y = -x

y = [tex]\frac{1}{2}[/tex]x

Answer:

Step-by-step explanation:

y = [tex]\frac{1}{2}[/tex] x

When modeling hourly pay, which part of the equation is used to represent the
total pay?
A. X
B. y-intercept
C. y
D. None of the above
SUBMIT

Answers

When modeling hourly pay, the part of the equation used to represent the total pay is y ( Option C ).

The question asks when modeling hourly pay, which part of the equation is used to represent the total pay.

The given options are :

A. x

B. y-intercept

C. y

D. None of the above

This question can be easily solved using the slope intercept form of the line equation, that is, y = mx + c

where,

m is the slope of the line

and it represents the payment per hour

x is the independent variable

and it represents the number of hours

c is the intersection with the y axis

and it represents the signing bonus

y is the dependent variable

and it represents the total pay

From the above information, it can be inferred that when modeling hourly pay, the part of the equation used to represent the total pay is represented with y in the slope intercept form y = mx + c

Therefore, using the slope intercept form, we get the part of the equation used to represent the total pay as y ( Option C ), when modeling hourly pay.

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The lengths of the hypotenuse and one leg of a right
triangle are 10.5 and 3.7, respectively. Find the measure
of the angle opposite the leg whose length is known.
A. 20.63° B. 69.37° C. 19.41° D. 9.83°E. 46.90°

Answers

It’s the C because i did it in virtual class science

The measure of the angle is 20.63 degrees if the lengths of the hypotenuse and one leg of a right triangle are 10.5 and 3.7, respectively option (A) is correct.

What is a right-angle triangle?

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

It is given that:

The lengths of the hypotenuse and one leg of a right triangle are 10.5 and 3.7, respectively.

As we know,

Applying sin ratio

sinA = perpendicular/hypotenuse

sinA = 3.7/10.5

sinA = 0.35

sinA = 20.63 degrees

Thus, the measure of the angle is 20.63 degrees if the lengths of the hypotenuse and one leg of a right triangle are 10.5 and 3.7, respectively option (A) is correct.

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What is the length of side s of the square shown below?

Answers

Answer:

E

Explanation:

well, process of elimination

C - the formula for a 45 45 90 triangle makes the hypotenuse equal to the sides times the square root of two, and 8 divided by the square root of two is 4 times the square root of two

A circular pond has a radius of 3 feet. What is the approximate distance around the edge of the pond, in feet?
A.3π
B.6π
C.9π
D.12π

Answers

The answer would have to be D.

Which graph represents y=3vx​

Answers

Answer:

is it just that one graph

Step-by-step explanation:

Answer:hmm

Step-by-step explanation:

Please help!! I can't get it!

Answers

Answer:

B is the answer

hope it helps

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