What number should be added to the expression x^2 + 2x to change it into a perfect square trinomial?

Answers

Answer 1

the answer is (x+1)²= x²+2x+1
so x^2 + 2x must be added 1 to become x²+2x+1=(x+1)²

Related Questions

Gary bought a car for $40,000. If V = 40,000(.85)t represents the value of the car after t years, how long will it take the car to be worth less than one-fourth of its purchase price? ...?

Answers

9 years
Years Value
1 34000
2 28900
3 24565
4 20880.25
5 17748.2125
6 15085.980625
7 12823.08353125
8 10899.6210015625
9 9264.6778513281
10 7874.9761736289

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

Answer:

D) 9 years

Step-by-step explanation:

What 3 times itself equals 1331?

Answers

So [tex] x^{3} =1331[/tex].
Then, [tex]x= \sqrt[3]{1331} [/tex].
[tex]x=11[/tex]

The answer's 11.

Answer:

Step-by-step explanation:

What conditions give 2 roots, one root and no root?

Answers

The discriminant D is found by this formula

D = b^2 - 4ac

there are 3 possible outcomes

1) If D is smaller than 0, ie D < 0, then there are no roots

2) If D is equal to zero (D = 0), then there is exactly one root. This root is rational assuming the coefficients are integers. This is called a double root

3) If D > 0, then there are 2 different roots. If D is a perfect square, then these two roots are rational numbers (aka fractions of whole numbers) assuming the coefficients are integers. If D is not a perfect square, then the two roots are irrational numbers.

Solve -9-8(1+4h)=-17

Answers

-9-8(1+4h) = -17. We need to solve for h.
First, use the distributive property for 8(1+4h):
8(1+4h) = 8*1 + 8*4h = 8 + 32h

So -9-8(1+4h) = -17
-9 - (8+32h) = -17
-9 - 8 - 32h = -17
-17 - 32h = - 17
Add 17 on both sides to have the variables on a side and the numbers on the other:
-17 - 32h + 17 = -17 + 17
-32h = 0
divide both sides by -32 to get the variable h alone and its value on the other side:
(-32h)/-32 = 0/-32
h = 0.

So -9-8(1+4h) = -17 for h = 0.

You can recheck your answer (very important):
-9 - 8(1+4h) = -9 -8(1+4*0) = -9 - 8(1+0) = -9-8*1 = -9-8 = -17
The answer has been approved.

Hope this Helps! :)

Hi Jeannie

-9-8(1+4h) = -17
First, we need to distribute
-9 +(-8)(1) +(-8)(4h) = -17
-9 -8 - 32h = -17
-17 - 32h = -17
-32h = -17 + 17
-32h = 0
h = 0/-32
h = 0

I hope that's help !

A boy throws a baseball across a field. The ball reaches its maximum height, 18 meters, after 1 second. After approximately 2.3 seconds, the ball lands on the ground. The ball’s motion can be modeled using the function f(x) = –10x2 + 20x + 8. What is the height of the ball 1.5 seconds after it is thrown?

Answers

Answer:

15.5 NOT 17

Step-by-step explanation:

Translate this word phrase into an equation. one increased by two equals the quotient of nine and three

Answers

Here is the equation for this word phrase:
1 + 2 = 9 / 3
Quotient is the result of division.

Final answer:

The translation of the word phrase into an equation is 1 + 2 = 9 ÷ 3. Solving the equation by performing division before addition verifies its correctness, resulting in 3 = 3.

Explanation:

The word phrase "one increased by two equals the quotient of nine and three" can be translated into an algebraic equation as follows:

1 + 2 = 9 ÷ 3

To solve the equation, perform the division on the right side of the equals sign first, as per the order of operations (PEMDAS/BODMAS), which states that division should be completed before addition:

1 + 2 = 3

Then adding the numbers on the left side:

3 = 3

This confirms that the given translation of the word phrase into an equation is correct, as both sides of the equation are equal.

Need help in math
How does the slope of the line y=-x affect the graph?

Instructions says :
Think about how the graph changed as a result of changing the slope to a negative. Write several complete grammatically correct sentences describing how changing the slope to a negative number changes the graph. Be specific and detailed.
Thank you. I will really appreciate that

Answers

The negative slope means that you move downhill as you go from left to right. Think of it as a mountain slope and the point on the line slides downhill. The direction of movement is from left to right. To be technical, in this case you will have a rise of -1 indicating you go down 1. At the same time, you go to the right 1 unit

rise/run = -1/1 = -1 = slope

So that's a more technical breakdown of the slope of -1

Which equation demonstrates the additive inverse property?Select one of the options below as your answer:
A. r × 0 = r
B. r + s = s + r
C. r + 0 = r
D. r + (-r) = 0

Answers

D. r + (-r) = 0

The additive inverse of a number a is the number that, when added to a, yields zero. This number is also known as the opposite.

China issued the largest stamp ever, 210mm Long and 65mm wide. Find the ratio of length to width

Answers

210 : 65
----------------------
42 : 13 is the ratio of 210mm long and 65mm wide
----------
divide both numbers by 5

Final answer:

The ratio of the length to the width of the largest stamp ever issued by China, having dimensions of 210mm long and 65mm wide, is approximately 3.23:1 after dividing the length by the width.

Explanation:

To answer the question about the ratio of the length to the width of the largest stamp ever issued by China, we need to follow a few simple steps. First, we have the dimensions of the stamp: 210mm long and 65mm wide.

Step 1: Identify the numbers given. In this case, the length of the stamp is 210mm, and the width is 65mm.

Step 2: To find the ratio of length to width, we need to divide the length by the width. So, 210 divided by 65 gives us approximately 3.23 (rounded to two decimal places).

Therefore, the ratio of the length to the width of the largest stamp ever issued by China, in simplest form, is approximately 3.23:1.

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What is 1 and 3\11 as an improper fraction?

Answers

14/11
11×1 +3 and you will get your answer

What you have to do to find the improper fraction is you ...

•multiply the denominator with the whole number

•add what you got to the numerator

•still use the same denominator

1•11=11
11+3=14

14/11
14/11=1.3/11

V=3.14(r)^2h solve for r

Answers

Assuming the h is not in the exponent, R would equal The square root of V over 3.14h

R= \sqrt{x} v ·[tex] \sqrt{v} _______ 3.14 h[/tex]

Louann and Carla received equal scores on a test made up of multiple choice questions and an essay. Louann got 14 multiple choice questions correct and received 24 points for her essay. Carla got 16 multiple choice questions correct and received 14 points for her essay.

How many points was each multiple choice question worth?

Answers

Let the number of points of each multiple choice question be x, then
14x + 24 = 16x + 14
16x - 14x = 24 - 14
2x = 10
x = 10/2 = 5.

Therefore, each multiple choice question is 5 marks.

The elevation of park city Utah is 6900 feet above sea level.What integer represents the elevation

Answers

6900 is an integer. This might be a trick question.

Final answer:

The elevation of Park City, Utah is presented as 6900 feet above sea level. Therefore, the integer that symbolizes this elevation is +6900, considering that elevation position above sea level is depicted by a positive integer.

Explanation:

The elevation of Park City, Utah is indicated as 6900 feet above sea level. As an integer, such elevation is simply represented by the number 6900. An integer is a whole number that can be either greater than 0, termed positive, 0, or less than 0, termed negative. In this scenario, the elevation above sea level is higher than 0. It means the integer representing the elevation is a positive integer. So, the elevation, as an integer, of Park City, Utah is +6900.

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What times what equals 12 but when added equals 13

Answers

12 x 1 = 12

12 + 1 =13

1 times 12 equals 12 but when added equals 13.

1 * 12 = 12

12 + 1 = 13

What is x in the equation (8 2/5 7 2/3) 4 1/3 = x 13?

Answers

the answer to your question is going to be 2

Find the quotient. Write your answer in standard form. : 3-i/3+i

A. 1-i
B. 3/5 + 4/5 i
C. 4/5 - 3/5 i
D. -1

Answers

The answer is C. 4/5 - 3/5 i

[tex] \frac{3-i}{3+i} = \frac{(3-i)(3-i)}{(3+i)(3-i)} \\ \\ (a+b)(a-b) = a^{2} -b^{2} \\ \\ \frac{(3-i)(3-i)}{(3+i)(3-i)}= \frac{ (3-i)^{2} }{3^{2}-i^{2} } \\ \\ (a-b)^{2} =a^{2}-2ab+b^{2} \\ \\ \frac{ (3-i)^{2} }{3^{2}-i^{2} } = \frac{3^{2}-2*3*i+i^{2} }{3^{2}-i^{2} } = \frac{9-6i+i^{2}}{9-i^{2}} \\ \\ i = \sqrt{-1} \\ i^{2}=-1 \\ \\ \frac{9-6i+i^{2}}{9-i^{2}} = \frac{9-6i-1}{9+1} = \frac{8-6i}{10}= \frac{8}{10}- \frac{6i}{10}= \frac{4}{5}- \frac{3}{5}i [/tex]

Estimate 67% of 26.8 by using fractions

Answers

67% × 26.8 = (67/100) × 26.8 = 17.956

What is the volume of a sphere if its r=21m?

Answers

Recall that the volume of a sphere is described as 4/3pi(r^3). substituting in 21 for r, we get (4*(21^3)/3)pi. this simplifies (I think) to 12068pi. adding the units, you get 12068pi m^3

V=(4/3)pir^3
r=21
V=(4/3)pi21^3
V=(4/3)pi9261
V=(37044/3)pi
V=12348pi
V=12348pi m³ or aprox 38792.378016 m³

FIND THE THIRD,FIFTH AND TENTH TERM SEQUENCE DESCRIBED BY EACH RULE
A(n)=4+(N-1)(-5)

A(N)=-2(n-1)(-5) ...?

Answers

Final answer:

To find the third term, substitute n = 3 into the formula A(n) = 4 + (n-1)(-5).

Explanation:

The sequence A(n) is defined as 4 plus the product of (n-1) and -5. To find the third term, substitute n = 3 into the formula: A(3) = 4 + (3-1)(-5) = 4 + 2(-5) = 4 - 10 = -6.

To find the fifth term, substitute n = 5 into the formula: A(5) = 4 + (5-1)(-5) = 4 + 4(-5) = 4 - 20 = -16.

To find the tenth term, substitute n = 10 into the formula: A(10) = 4 + (10-1)(-5) = 4 + 9(-5) = 4 - 45 = -41.

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Mark spent $1.19 on a drink and $4.89 on his sandwich.

What is the total amount Mark spent?

A.
$5.08

B.
$5.98

C.
$6.08

D.
$6.18

Answers

I added $1.19 to $4.89 and got $6.08

The anser is C $6.08 Thank you

Explain the converse of the Pythagorean theorem.

A. The converse of the Pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of its legs is less than the square of its hypotenuse.

B. The converse of the Pythagorean theorem states that if the square of one side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

C. The converse of the Pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of its legs equals the square of its hypotenuse.

Answers

The answer is b ......

A jewelry store is having a 10% off regular price sale. find the sale price of a ring normally priced at $ 1350

Answers

The answer to this question is 135.

during a special sale all video games cost $26 & all movied cost $14. Jack plans to spend some or all of his $220 in bday money on these movies & video games.
WRITE AN INEQUALITY

Answers

$26g + $14m ≤ $220

g represents the number of video games bought
m represents the number of movies bought

Final answer:

The inequality that represents Jack's budget constraints for purchasing video games and movies is 26x + 14y ≤ 220, where x is the number of video games and y is the number of movies.

Explanation:

To write an inequality representing Jack's spending on movies and video games with the given budget, we first assign a variable to the quantity of each item Jack could purchase. Let x represent the number of video games and y represent the number of movies. Since video games cost $26 each and movies cost $14 each, and Jack has $220 to spend, the inequality representing this scenario is:

26x + 14y ≤ 220

Here, x and y must be non-negative integers because you cannot purchase a negative amount or a fraction of a game or movie. This inequality ensures that the total amount spent on video games and movies does not exceed Jack's budget of $220.

How many threes there in 27????

Answers

9 three's are in 27

9×3= 27
27÷3=9

if sam, joe, and debbie each flip a coin how many possible outcomes are there? ...?

Answers

8 possible outcomes.

When we toss three coins simultaneously then the possible of outcomes are: (HHH) or (HHT) or (HTH) or (THH) or (HTT) or (THT) or (TTH) or (TTT) respectively; where H is denoted for head and T is denoted for tail.

Please help me with an addition formula problem!

Solve the system by the elimination method. Check your work.

2a + 3b = 6

5a + 2b - 4 = 0

Answers

2a + 3b = 6
5a + 2b = 4

We multiply the first equation by 5 and the second by 2 and and subtract the second from the first:

10a + 15b = 30
-10a -4b = -8

11b = 22
b = 2

2a + 3(2) = 6
2a = 0
a = 0

Checking,
5(0) + 2(2) = 4
4 = 4, true

Jasmin read 1 3/4 pages in one minute. Armando read 1 1/2 times the number of pages that Jasmin read. How many pages did Armando read? Express your answer in simplest form. PLZZZZZ HELPP!!!!!!!!!!!!!!

Answers

Armando reads 7/8 pages, since u said ''times'' that calls for multiplication so jasmine reads 1 3/4 and Armando reads 1/2 times that so that means 1/2 * 1 3/4 = 7/8. So in conclusion, Armando reads 7/8 pages total.

Hope this helps and if it does, happy studying and don't forget to mark as brainliest.

f(n)=3n-15/10 what's the inverse

Answers

To find the inverse function, interchange the variables and solve for y.
f^-1(n) = 1/2 + n/3

h^-1(x) = 3 x-2 it is the inverse

During a period of deflation, the graph of the consumer price index (CPI) will rise.

A. True
B. False ...?

Answers

The correct answer for this statement would be option B. FALSE. It is not true not during a period of deflation, the graph of the consumer price index or CPI will rise, but rather, it would show a downward pattern. The consumer price index measures changes in the price level of a market basket of consumer goods and services. Hope this answer helps.

Final answer:

The statement is false; during a period of deflation, the Consumer Price Index (CPI) would decrease, not rise, reflecting a decrease in the average level of prices.

Explanation:

The answer to the student's question is B. False. During a period of deflation, the Consumer Price Index (CPI) would not rise; it would actually decrease. This is because deflation is characterized by a decrease in the average level of prices. For instance, during the Great Depression, a notable period of deflation, the CPI in the United States fell from 17.2 in 1929 to 12.9 in 1933, illustrating a decline in the general price level. Conversely, inflation will cause the CPI to rise because it reflects an increase in prices over time.

The Consumer Price Index is an economic indicator often used to measure inflation or deflation in an economy. A rise in CPI indicates inflation, whereas a drop indicates deflation. As inflation and deflation affect the real value of money, observing the changes in the CPI helps to understand the purchasing power of currency over time.

What does the line -5+8y=8 look like?

Answers

Answer:

Is a horizontal line

Step-by-step explanation:

we have

[tex]-5+8y=8[/tex]

Solve for y

Adds [tex]5[/tex] both sides

[tex]-5+8y+5=8+5[/tex]

[tex]8y=13[/tex]

Divide by [tex]8[/tex] both sides

[tex]y=13/8[/tex]

[tex]y=1.625[/tex]

This is a horizontal line parallel to the x-axis

The slope is equal to zero

see the attached figure to better understand the problem

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