write a quadratic formula or expression for this:

The product of a certain whole number and four more than that number is 140, write a quadratic expression / formula and find the number. ​

Answers

Answer 1

Answer:

number is 10

Step-by-step explanation:

let n be the number, then 4 more than the number is n + 4, thus

n(n + 4) = 140 , that is

n² + 4n = 140 ( subtract 140 from both sides )

n² + 4n - 140 = 0

Consider the factors of the constant term (- 140) which sum to give the coefficient of the n- term (+ 4)

The factors are + 14 and - 10 , since

14 × - 10 = - 140 and 14 - 10 = + 4 , thus

(n + 14)(n - 10) = 0 ← in factored form

Equate each factor to zero and solve for n

n + 14 = 0 ⇒ n = - 14

n - 10 = 0 ⇒ n = 10

Since n is a whole number the the required number is 10


Related Questions

2x-1+9x+3=57 solve for X

Answers

Answer:

x = 5

Step-by-step explanation:

2x-1+9x+3=57

2x+9x=57+1-3

11x=55

x= 55/11

x= 5

Answer:

x = 5

Step-by-step explanation:

Simplifying 2x + -1 + 9x + 3 = 57

Reorder the terms: -1 + 3 + 2x + 9x = 57

Combine like terms: -1 + 3 = 2 2 + 2x + 9x = 57

Combine like terms: 2x + 9x = 11x 2 + 11x = 57

Solving 2 + 11x = 57

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation. 2 + -2 + 11x = 57 + -2

Combine like terms: 2 + -2 = 0 0 + 11x = 57 + -2 11x = 57 + -2

Combine like terms: 57 + -2 = 55 11x = 55

Divide each side by '11'. x = 5

Simplifying x = 5

hope it helps

Evaluate -2x^2y, if x=-3 and y=-1.
A. -12
B. 18
C. -18
D. 12

Answers

Answer:

c.-18

Step-by-step explanation:

follow me and -GOOD LUCK-

what is the slope if the line is 5y= 10x-15

Answers

Answer:

slope = 2

Step-by-step explanation:

y = mx + b

M is the slope

5y = 10x - 15

y = 2x - 3

2 is the m in this equation

I hope this helped!

I need help simplifying this 7(3/7−6x)

Answers

Answer:

3-42x

Step-by-step explanation:

Your answer would be 3-42x



Debbie's backyard deck cost $56.00 per square meter to build. The deck is 9 meters wide and
9 meters long. How much did it cost to build the deck?

Answers

Answer:

$514.00

Step-by-step explanation:

56 x 2 = 112

112 x 4 = 448

448 + 56 - 514

so $514.00 is your answer.

it would be $4536! because 9*9=81
81x56

Veronica is given a rectangular piece of paper. If the length of Veronica's piece of paper is represented by x2 + 6x – 2 and the width is represented by 3x - 5, find the area of the piece of paper.

Answers

Answer:

3x^3 +13x^2 - 36x + 10.

Step-by-step explanation:

Area = length * width

= (3x - 5)(x^2 + 6x - 2)

= 3x(x^2 + 6x - 2) - 5)(x^2 + 6x - 2)

= 3x^3 + 18x^2 - 6x - 5x^2 - 30x + 10

=  3x^3 + 13x^2 - 36x + 10.

HELP PLEASE I WILL GIVE MOST BRAINLY!!!!!
What are the two answers for this problem? |c - 24| = 7c

Answers

Answer:

c = 3 or c = -4

Step-by-step explanation:

answer 1;

|c - 24| = 7c

     -7     -7

-6c -24 +24 = 0 +24

-6c = 24

-6/-6  = 24/6

c = -4

answer 2;

|c - 24| = 7c

     +7      +7

8c - 24 = 0

8c−24+24=0+24

8c=24

8c/8 =24/8

c = 3

i hope i helped<3

please help! i need help ASAP much appreciated

Answers

Answer:

Plz check in step by step

Step-by-step explanation: Hong Kong Island is the second-largest island of the territory, the largest being Lantau Island. Its area is 78.59 km2 (30.34 sq mi), including 6.98 km2 (2.69 sq mi) of land reclaimed since 1887 and some smaller scale ones since 1851.

Convert the fraction into a decimal by dividing
1. 4 / 5
2. 1 / 6
3. 5 / 12
4. 8/11
5. 22 / 95

Answers

Step-by-step explanation:

1. 0.8

2. 0.6 repeted

3. 0.146 the 6 is repeated

4. 0.72 repeated

5. 0.23157894..

HURRY WILL GIVE BRAINIEST!!!!!
Simplifies each expression.
A.) 8^-2
B.)1/3^-3
C.)6^12*6^8*6^0

Answers

Answers:

a) [tex]\frac{1}{64}[/tex]

b) 27

c) [tex]6^{20}[/tex]

8 mi/h= ft/min helppppp

Answers

Answer:

8

Step-by-step explanation:

(x + y + z = 3
-y = x
2z + 3y = 0
What does x and y equal?

Answers

Answer:

x=2 and y=-2

Step-by-step explanation:

April is going to the bakery to purchase donuts and cinnamon rolls for the office personnel. She must purchase at least 30 items. She has collected only $30, so total cost must be no more than $30. If d represents donuts that cost $0.75 each and r represents cinnamon rolls that cost $1.25 each, which system of inequalities can be used to represent the region for the number of donuts and cinnamon rolls April could purchase

Answers

Answer:

d + r ≥ 30

$0.75d + $1.25r ≤ $30

Step-by-step explanation:

Given the following :

Number of items to purchase = atleast 30

Total cost must be no more than 30

cost of donut (d) = $0.75

Cost of cinnamon (r) = $1.25

Number of donuts and cinnamon to purchase

To total number of items :

Donut + cinnamon ≥ 30

d + r ≥ 30

Cost of items to purchase :

Cost = price per item * number of items

$0.75d + $1.25r ≤ $30

solve for x
choices
30
22.5
45

Answers

Answer:

I don't get the question?

Step-by-step explanation:

5 & 6 ? Explain please

Answers

Answer:

5. Rational

6. 4.27 Rational, 0.375 Rational,

0.232342345 Rational, √62 Not rational, 13/1 Rational

Step-by-step explanation:

A rational number is an integer, fraction, terminating decimal, or repeating decimal.

An irrational number  is a number that cannot be expressed as the ratio of two integers.

Hope this helps :)

Which table does not represent a proportional relationship? Please give an accurate answer and explanation! thank you so much and good luck. whoever I declare brainiest gets 25 points​

Answers

Answer:

the 2nd one

Step-by-step explanation:

help me 4 + 2p = 10 ( 3/5p - 2)​

Answers

P= 6

4+2p = 10(3/5p - 2)
4+2p = 6p - 20
4 = 4p - 20
24 = 4p
6 = p

Point H is on the line segment GI. Given HI=6x, GH=x^2+5x and GI 7x+21. Find the values of x and determine the length of HI.

Answers

Answer:

x=3

HI=18

Step-by-step explanation:

Equations

Suppose a segment with endpoints G, I. Somewhere in between lies point H, in such a way that:

GI = GH + HI

Every segment is given as an expression with variable x:

[tex]HI=6x[/tex]

[tex]GH=x^2+5x[/tex]

[tex]GI=7x+21[/tex]

Substituting:

[tex]7x+21=x^2+5x+6x[/tex]

Moving everything to the right side:

[tex]0=x^2+5x+6x-7x-21[/tex]

Swapping sides and simplifying:

[tex]x^2+4x-21=0[/tex]

Factoring:

[tex](x+7)(x-3)=0[/tex]

Solving, we have two possible solutions:

x=-7, x=3

The negative solution is discarded because it would result in negative lengths. Thus the solution is

x=3

Determine the length of HI:

HI=6x=6*3=18

HI=18

BRAINLIEST ANSWER!! I need help ASAP!

Answers

Answer:

n = -9.5

Step-by-step explanation:

6n + 15 = -42

6n = -57

n = -9.5

this graph shows how fast the International Space Station travels in orbit around Earth. what is the meaning of the point with an x-coordinate of 2



I can't add two pictures​

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Sarah buys a shirt on sale at
Jersey's. The original price was
$28, but the shirt is on sale for 30%
off.
If there is a 5% sales tax, how
much did Sarah pay for the shirt?
(Write the answer as a decimal to 2
places.)

Answers

Answer:

$20.58

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

divide 28 from 30. 2 can go into 3 ones its 2 so subtract its one bring down 8 then the answer is 20

         20

28     _______

         30

        - 2

         ____

          10

       

what is - I (-10) I - 2

Answers

Answer:-2

Step-by-step explanation:

one third divided by five sixths
A. two-thirds
B. two-fifths
C. two-sixths
D. one-fifth

Answers

Answer: B

Step-by-step explanation:

Two- fifths

Answer:

The answer is 2/5 (B)

Step-by-step explanation:

1/3 divided by 5/6

To solve, we need to multiply the reciprocal of the divisor (5/6 in this case)

The reciprocal of 5/6 is 6/5

1/3*6/5 = 6/15 which can be reduced to 2/5

The answer is 2/5 (B)

Hope this helps!

please help pleeaasssee

Answers

Answer:

10

Step-by-step explanation:

just do 4-18 and u get the answer

The Answer Would Be 10

Simplify : 5c + 3 – 12c – 8

Answers

Answer:

Step-by-step explanation:

-7c - 5

McDowell Movies charges a $10 monthly fee and $4 per movie rental each month. Titan Videos charges a $15 monthly fee and $3 per movie rental each month. When will cost be the same for both?

I NEEDD HELP ON THIS

Answers

Answer:

✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️

At 30 months hope this helps!

Classify the number −25.

Answers

Answer: a negative integer, rational number, and real number

Step-by-step explanation:

I don’t know exactly what you’re asking but here you go

Answer:
Rational, integers, and real numbers


A company currently has an advertisement that covers a bill board that is 30 ft wide by 70 ft high. The company wants to reduce the same advertisement to fit on a new billboard that is 25ft wide by 40 ft high. What are the dimensions of the largest advertisement that will fix on the billboard without cropping the advertisement

Answers

Given :

A company currently has an advertisement that covers a bill board that is 30 ft wide by 70 ft high. The company wants to reduce the same advertisement to fit on a new billboard that is 25 ft wide by 40 ft high.

To Find :

The dimensions of the largest advertisement that will fix on the billboard without cropping the advertisement.

Solution :

Area of original bill board :

[tex]A_i=30\times 70 = 2100\ ft^2[/tex]

Area of new bill board :

[tex]A_f=25\times 40 = 1000\ ft^2[/tex]

Since, new bill board can be completely fitted in original bill board as its length and breadth both are smaller than that.

So, the dimensions of the largest advertisement that will fix on the billboard without cropping the advertisement is equal to 1000 ft².

Hence, this is the required solution.

Slope of (-3,6), (2,6)

Answers

Answer:

0

Step-by-step explanation:

Answer:

0/-1 which equals 0

Step-by-step explanation:

I provided a picture explanation

The heights of 200 adults were recorded and divided into two categories.
6' or over
Under 6
Male
14
88
Female
2
Which two-way frequency table correctly shows the marginal freq

Answers

The answer is the first chart which would be A
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