What is the missing constant term in the perfect square that starts with x^2+2x?

Answers

Answer 1

Answer:

+ 1

Step-by-step explanation:

Given

x² + 2x

Using the method of completing the square

add ( half the coefficient of the x- term)² to x² + 2x

= x² + 2(1)x + 1²

= x² + 2x + 1

= (x + 1)² ← perfect square


Related Questions


Explain why and show how the expression -x might represent a positive number, a negative
number, or even 0.

Answers

If the variable is a negative you get -(-1) and minus a negative is positive. If the variable is a positive number the - makes it negative. If the variable is 0 we’ll it equals 0.

When c=-7, evaluate 4(9/4+5/7c)

Answers

Hey there!

4(9/4 + 5/7c)

= 4(9/4 + 5/7(-7))

= 4(9/4) + 20/7(-7)

= 4(9/4) - 20

= 9 - 20

= -11

Therefore, your answer is: -11

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

evaluate 4/5 * for * =7​

Answers

Answer:

16/5=7

Step-by-step explanation:

What is the vertical asymptote of the function f(x) = (x - 5)/(x ^ 2 - 2x - 15)

Answers

Answer:

Vertical asymptote is at [tex]x=-3[/tex]

Step-by-step explanation:

Let us plot the function

Here

[tex]\frac{x-5}{x^{2}-2x-15}=\frac{x-5}{(x-5)(x+3)}\\\\=\frac{1}{x+3}[/tex]

Function does not exits at [tex]x=-3[/tex]

Vertical asymptote is at [tex]x=-3[/tex]

Find the x-intercepts of the parabola y=−x2+x+12.

Answers

Answer:

Your x-intercepts are -(3, 0) and (4, 0).

Step-by-step explanation:

Vertex:
(1/2 , 49/4)

y-intercept: 12

x-intercepts: 4 and (−3)

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мкфуерцнокеупауйвЫЫМ ВНОРЕФУфцвыА ЕЬГАЕ7ГАТАСО ПНМСВЧСЧМ

Answers

Answer:

Step-by-step explanation:

I dont know

judy gave 1/9 of her candies that she had to janet. with what she had remaining, she gave 1/2 to her brother. Judy now has 12 candies left. how many candies did she have at the beginning?

Answers

1/2 is half so 12+12=24

Based on paragraph 2 of this speech excerpt, what was
President Kennedy's position on the expense of the space
program?

Answers

Answer:

Please give me Brainliest!

Step-by-step explanation:

President Kennedy's position on the expense of the space program was that  it would be well worth the high cost.

Explanation:

The general sentiment of the 1960s was extremely in favor of the space race and the Us was heavily invested in the exploration of the space even as the costs for doing so were soaring exorbitantly high.

The President understood this and so did not want to tinker with the hopes and aspirations of the common people who had come to love these efforts.

These efforts were also a matter of great national pride and thus seen well worth the cost they incurred on the people and the tax-paying part of the country.

Which numbers are all divisible by 5?
-)))
A)
224, 777, 215, 466, 991
B)
335, 105, 430, 375, 265
©
235, 111, 730, 374, 232
D
332, 350, 265, 425, 510

Answers

Answer: B) 335, 105, 430, 375, 265

Step-by-step explanation:

Since each number ends in either a 5 or a 0, they are all divisible by 5.

Therefore, B is the correct answer.

Answer:

335, 105, 430, 375, 265

335, 105, 430, 375, 265

Please help! I need help with this question.

Answers

Answer:

check online for more information

3/4, 4/5, 7/8, 9/11, 5/6
can they be simplified? give your reasons below.​

Answers

They cannot be simplified

Answer:

No, none of these can be simplified

Step-by-step explanation:

Each one of these factions have a prime number in it, so therefore, you cannot simplify any of them. Prime numbers are numbers that only have 2 factors, one and itself. So, you can't simplify any of them.

Here's why:

If you take 3/4, you can't simplify because 3 is prime. 4 is NOT prime, but to reduce, you have to be able to find a GCF, or a greatest common factor.

Find the slope of the line.

Answers

first you have to pick any two points on the line

(-3,4) and (0,-2)

then you subtract the y values

-2-4= -6

after that you subtract the x values

0 - (-3)= 3

the slope is -6/3, or -2

y= -4x - 7

Please help

Answers

y = -7

Explanation:
Substitute x for 0 to find the y-intercept.
y = -4(0)-7
y = -7

Answer:

- 4x-7: m=-4

Axis interception points of - 4x - 7 intercepts: (-7/4, 0), Y intercepts: (0, - 7)

Please help!
Describe a trend line in a scatterplot and how it should look in comparison to the data points.

Answers

Answer:

A trend line is a straight line that best represents the points on a scatterplot. The trend line may go through some points but need not go through them all. The trend line is used to show the pattern of the data. This trend line may show a positive trend or a negative trend.

Step-by-step explanation:

answer above

Sample Answer: A trend line describes the relationship between the two variables in a scatterplot. A trend line is sloped according to the general direction of the cluster of data points. It is drawn through the center of the cluster so the distance from the line to the points is minimized.

this is the correct answer on edge!!

What is the slope of the line?

Answers

Answer:

-5

Step-by-step explanation:

Use the slope triangle I mentioned in a previous question

If the nth term of an AP is (7-4n) then its common difference is​

Answers

Given nth term of an AP = 7-4n

Put n = 1 then t1 = 7-4(1) = 7-4 = 3

Put n = 2 then t2 =7-4(2) = 7-8 = -1

Common difference = t2-t1 = -1-3 = -4


A- CE=CD
B- CE = CA
C- BF=DF
D- DF=EF

please help!!

Answers

The perpendicular bisector theorem gives the statements that ensures

that [tex]\overleftrightarrow{FG}[/tex] and [tex]\overleftrightarrow{AB}[/tex] are perpendicular.

The two statements if true that guarantee  [tex]\overleftrightarrow{FG}[/tex] is perpendicular to line [tex]\overleftrightarrow{AB}[/tex] are;

[tex]\overline{CE} = \overline{CD}[/tex] [tex]\overline{DF} = \overline{EF}[/tex]

Reasons:

The given diagram is the construction of the line [tex]\mathbf{\overleftrightarrow{FG}}[/tex] perpendicular to line [tex]\mathbf{\overleftrightarrow{AB}}[/tex].

Required:

The two statements that guarantee that  [tex]\overleftrightarrow{FG}[/tex] is perpendicular to line [tex]\overleftrightarrow{AB}[/tex].

Solution:

From the point C arcs E and D are drawn to cross line [tex]\overleftrightarrow{AB}[/tex], therefore;

[tex]\overline{CE} = \mathbf{\overline{CD}}[/tex] arcs drawn from the same radius.

[tex]\overleftrightarrow{FG}[/tex] is perpendicular to line [tex]\overleftrightarrow{AB}[/tex], given.

Therefore;

[tex]\overline{DF} = \overline{EF}[/tex]  by perpendicular bisector theorem.

Learn more about the perpendicular bisector theorem here:

https://brainly.com/question/11357763

Work out the area of the shaded shape.

Answers

Answer:

Step-by-step explanation:

A = 8(14) - 9(8 - 4) = 76 m²

Triangle ABC with vertices A(-3, 2), B(-1, 7), and C(6.1) is reflected over x-axis. Give the coordinates of the image.
A’
В’
C’

Answers

Answer:

how do I give the coordinates of the image

Step-by-step explanation:

Marissa deposited $3,900 into a savings account. How much will Marissa have in her account after 7 years and 6 months at a yearly simple interest rate of 1.82%

Answers

Marissa wants to know how much she would make using the simple interest calculation.

She will have $4,432.35

Given data

Principal = $3,900

Time = 7 years 6 months = 7.5 years

Rate = 1.82%

I = A - P = $532.35

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 1.82%/100 = 0.0182 per year.

Solving our equation:

A = 3900(1 + (0.0182 × 7.5)) = 4432.35

A = $4,432.35

The total amount accrued, principal plus interest, from simple interest on a principal of $3,900.00 at a rate of 1.82% per year for 7.5 years is $4,432.35.

Learn more about simple interest here:

https://brainly.com/question/20690803

[tex]\frac{\sqrt{2x} }{\sqrt{} x-1}[/tex]
For which values of x does each expression make sense?

Answers

Answer:

The expression is unclear so:

If the denominator is [tex]\sqrt{x}-1[/tex] then your set of existence is given by

[tex]\left \{ {{x\ge0} \atop {x\ne1}} \right.[/tex]

since you want the quantity inside both square roots to be positive (and it happens for both to be simply [tex]x\ge0[/tex] and you don't want a zero at the denominator so you have to rule out 1.

If the square root includes the whole denominator [tex]\sqrt{x-1}[/tex] the condition becomes [tex]\left \{ {{x\ge0} \atop {x>1}} \right.[/tex]

where you don't include the extreme in the second condition since, again, you don't want to divide by 0. The answer in this case is simply [tex]x>1[/tex] since values between 0 and 1 will give a negative root which is not a real number.

Points M (2, 9) and N (-1, 3) are on a line with y-intercept 5. What is the equation of the line?

Answers

Answer:

Whenever you are given two points, start by naming the points.  (2, 9) becomes (x1, y1); then (-1, 3) becomes (x2, y2).  When you know which numbers you are putting into which formulas, it makes it much easier.

Start with finding your slope.  m = y2 - y1/ x2 -x1

Step-by-step explanation:

Hope This Helps! Please Mark Brainliest!

Shabana earns £1900 a month. She is awarded a 1% pay rise. What is her new salary?

Plz answer. No spam links.

Answers

Answer: 1919 will be the final amount

Step-by-step explanation: 1 percent of 1900 is 1900/100=19

add this to 1900

this will get you 1919

brainliest pls

What is the possible degree of a polynomial if it has a root of -3 with multiplicity of 2 and, a root of 4 with a multiplicity of 1?

Answers

Answer:

3rd degree

Step-by-step explanation:

factors are

a(x + 3)(x + 3)(x - 4)

polynomial is

a(x² + 6x + 9)(x - 4)

a(x³ + 2x² - 15x - 36)

where (a) could be any real number

May someone help me with this please?

Answers

Answer:

the first one

Step-by-step explanation:

plz give brainliest

Phil must lay concrete down for his back patio and
purchased 23 cubic feet of concrete, what are possible
dimensions of the patio slab? Select all that apply.

Answers

Answer:

Concrete can be purchased by the cubic yard. How much will it cost to pour a slab 18 feet by 18 feet by 6 inches for a patio if the concrete costs $42.00 per cubic yard?

Step-by-step explanation:

I HOPE THIS HELPS

Complete the process of solving the equation.
Fill in the missing term on each line. Simplify lany fractions.
9V + 19 = 19
9V =
Subtract 19 from both sides
V =
Divide both sides by 9

Answers

Answer:

V=0

Step-by-step explanation:

9V + 19 =19

9V=19-19

9V=0

V=0

You are dealt one card from a​ 52-card deck. Find the probability that you are not dealt a black picture card.

Answers

Answer: 1 in 51

Step-by-step explanation:

Answer:

23/26

Step-by-step explanation:

A standard deck of cards has 52 cards.

The cards are divided into 13 cards of each of 4 suits.

2 suits are black and 2 suits are red.

Each suit has 3 face cards. Since there are 2 black suits, there are 6 black face cards.

The total number of cards in a deck is 52.

52 - 6 = 46

There are 46 cards that are not black suit cards out of 52 total cards.

p(not black face card) = 46/52 = 23/26

Help please and thank you

Answers

Answer:

Perimeter of trapezoid ABCD is 22.8

Step-by-step explanation:

6 + 6 + 8.2 + 2.6 = 22.8

I hope this helps!

Andre draws a tape diagram for 3÷2/3

Andre says that 3÷2/3= 4 1/3 because there are 4 groups of 2/3 and 1/3 left. Do you agree with Andre? Explain your reasoning

Answers

Answer:

No I do not agree with Andre says that 3 divided by 2/3 Solving for 3 ÷ 2/3

3 ÷ 2/3

= 3 × 3/2

= 9/2

= 4 1/2

Therefore, 3 divided by 2/3 is 4 1/2

Andre's reasoning is wrong.

Step-by-step explanation:

It is incorrect

Let's divide and compare the sum

3 : 2/3 = 3*3/2 = 9/2 = 4 1/2

and

There are four 2/3 fractions and one 1/3 fraction

The 1/3 fraction is 1/2 of 2/3 fraction so instead of counting 1/3 as 1/3 it should be counted as 1/2

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