Can anyone help me with this?

Using algebraic identities, we found that for B=2 and B= -2 , the trinomial x² + Bx +1  makes a perfect square.

Algebraic identities are the identities which aids in solving products or powers of algebraic expressions. Most common identities are :

(a+ b)² = a² + 2ab + b²

(a- b)² = a² - 2ab + b²

a² -b² = (a+ b) (a- b), where a and b can be variable or constants or algebraic expressions.

Let the perfect square of the trinomial be (x +a)²

x² + Bx +1 = (x+ a)² = x² + 2xa + a² (using identity (a+ b)² = a² + 2ab + b²)

⇒ x² + Bx +1  = x² + 2xa + a²

⇒ Bx = 2xa , a² =1

⇒B = 2a , a =± 1

if a =1 ⇒ B = 2

If a = -1 , B = -2

For B = 2 , x² + Bx +1  = x² + 2(1)x +1² = (x+1)² ( ∵(a+ b)² = a² + 2ab + b²)

For B = -2 , x² + Bx +1  = x² -2x + (-1)² = x² -2x +1 = ( x-1)²  (∵(a- b)² = a² -2ab  

                                                                                                                 + b²)

Thus, the given trinomial x² + Bx +1  is perfect square when B =2 or -2

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The study design is best described as a case-control study.

A community uses a telephone survey to rate a representative sample of its citizens.

Diabetes is significantly correlated with obesity.

Non-experimental or observational study designs include cohort designs. In a cohort study, the participants don't already have the desired result. They are chosen based on the person's exposure status.

A case-control study is a sort of observational research in which two existent groups with outcomes that differ from one another are found and compared on the basis of a purported causal factor.

An example of an observational study design is the cross-sectional study design. In a cross-sectional study, the researcher simultaneously assesses the participants' exposures and outcomes.

Therefore, the study is a case-control study.

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Answer:

54.4 %

Explanation:

The percent change in net sales can be calculated as:

Where the final number is the net sales in quarter 2 and the initial number is the net sales in quarter 1. Replacing the values by 170 and 110, we get:

Therefore, the answer is:

percent change = 54.5 %

8 feet is known to equal 96 inches.

48 inches are divided in half,

and because the image is hung in the middle of the wall,

the subject of the image is that,

11 inches on each side, as well.

This is,

37 inches of wall on each side of 48-11.

A rectangle is a closed figure with four equal and opposite sides. Consequently, the length, which is also known as the height, and the width of a rectangle can be used to define it (sometimes called breadth).

The formula for a rectangle's surface area is as follows:

A=lxw

A=l×w

where:

A is the surface area of the rectangle;

L specifies the length of the rectangle.

Usually, it refers to the longest side of the rectangle.

W is the rectangle's width which is rectangle's shortest side.

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The relationship has no relation to continental drift theory, as it is a relation between distance and time, not distance and elevation.

The continental drift theory states that the world's tectonic plates are in constant motion over time.

This is supported by the fact that some millions of years ago, there was only one continent, named Pangea, and now we have the continents as we know. These continents are also moving a small amount a year.

In this problem, the elevation decreases and the distance increases, however, the continental drift theory should have the distance increasing or decreasing over time, hence the graph relationship has no relation to the continental drift theory.

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Answer: (8,-4), (6,-2), (5,-1)

The shortest side is 22 meters in the mentioned quadrilateral.

Let us assume the length of first side be x. So, the other three sides of length will be (x + 1), (x + 2) and (x + 3). The perimeter is sum of all sides of the quadrilateral.

Keep the values in the formula of perimeter -

94 = x + x + 1 + x + 2 + x + 3

Performing addition on Right Hand Side of the equation

94 = 4x + 6

Shifting 6 to other side of the equation

4x = 94 - 6

Performing subtraction on Right Hand Side of the equation

4x = 88

Shifting 4 to Right Hand Side of the equation

x = 88 ÷ 4

Performing division

x = 22

Thus, the shortest side of quadrilateral is 22 meters long.

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Answer:

the percentage change is a 60% change.

Step-by-step explanation:

A change from 5 to 2 represents a negative change (decrease) of -60%

Use the formula found below on this webpage to find the percent change by replacing the given values:

Percent change = New - Old

|Old|

× 100%

Percent change = 2 - 5

|5|

× 100% =

-3

5

× 100 = -60% (decrease)

Where: 5 is the old value and 2 is the new value. In this case we have a negative change (decrease) of -60 percent because the new value is smaller than the old value.

We know how many pounds are needed to cover 5000 ft^2, and we need to find how many are needed to cover 27000ft^2. To find this value, divide 27000 by 5000 and multiply the result by the weight.

27000/5000 x 18.75
5.4 x 18.75
101.25

So, we need 101 1/4 pounds of fertilizer. How many bags is that?

101.25/18.75
5.4

We'll say that since the 0.4 of a bag will still need to be used, that you need 6 bags to cover 27000ft^2.

Substitution method - the points are (-6, -11/2),(-4,-3), (-8/5,0), (0,2) and (4,7)

what is the substitution method?

To solve many simultaneous linear equations, use the substitution method in algebra. The value of a variable from one equation is substituted in the second equation in this procedure, as the name implies.

we are given the equation,

5x - 4y = -8

case I

when x = -6

5(-6) - 4y  = -8

-30 - 4y = -8

-4y = -8 + 30

-4y = 22

y = -(22/4)

y = -11/2

(x,y) = (-6, -11/2)

case II

when y = -3

5x - 4(-3) = -8

5x + 12 = -8

5x = -8 -12

5x = -20

x = -20/5

x = -4

(x,y) = (-4,-3)

case III

when y = 0

5x - 4y = -8

5x - 4(0) = -8

5x = -8

x = -8/5

(x,y) = (-8/5,0)

case III

when x = 0

5(0) - 4y = -8

0 - 4y = - 8

y= 8/4

y = 2

(x,y) = (0,2)

case IV

when x = 4

5(4) - 4y = -8

20 - 4y = -8

-4y = -8-20

-4y = -28

y = 28/4

y = 7

(x,y) = (4,7)

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If the number of cups of water w, needed for f cups of flour is described by the equation w = 0.75f, 0.75 represents the number of cups of water needed for one cup of flour

The equation is

w = 0.75f

Where w is the number of cups waters needed for f cups of flour.

Here w is is dependent variable and f is the independent variable

We can see that w is proportional to the f, the 0.75 is the constant.

w = 0.75f

Move the f to left hand side of the equation

w/f = 0.75

Hence, If the number of cups of water w, needed for f cups of flour is described by the equation w = 0.75f, 0.75 represents the number of cups of water needed for one cup of flour

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Answer:

22 apples

Step-by-step explanation:

33/6=5.5*4=22

Pls give brainliest

Answer:

I believe the answer would be 22 apples

The problems in the test are 16.

In the given case a student missed four problems on a test.

The test happened to be a mathematics test and the student scored a total percentage of 75%.

It is mentioned that every question has of same score values.

To find out how many problems were actually on the test we need to solve the problem by following the steps.  

Let,

Questions not attempted ( x ) = 4

Percentage gained ( y ) = 75%

The percentage lost is 25%

The total questions in the test are;

         → A = (100/25) * 4

            A = 16

Therefore, the questions in the test are 16.

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According to a government study among adults the percent of the adults spend more than $2,775 per year on reading and entertainment is

Given data form the question

the mean amount spent per year on reading and entertainment is $1,875

standard deviation of $640

what percent of the adults spend more than $2,775 per year on reading and entertainment

Definition of variables

mean sample, μ = $1,875

standard deviation, σ =  $640

measure X = $2,775

For normal distribution, the z-score of a measure X with mean μ and standard deviation σ  is given by as follows:

Z = ( X - μ ) / σ

Z = (2775 - 1875) / 640

Z = 1.40625 gives p-value of 0.0798250014

This is equivalents to 7.98%

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The starting point is 1,365 miles .

Given :

→ initial time of plane = 1.7 hours

→ initial speed = 140 mph

→ final time of plane = 9.6 hours

→ final speed = same = 140 mph

The initial displacement of the plane is :

distance = speed × time

= 1.7 × 140

= 238 miles

The final displacement of the plane is :
distance = 9.6 × 140

= 1,344 miles

The angles between initial and final displacement is :

100° - 10 ° = 90 °

The distance of the plane from its starting point is calculated as follows

d = [tex]\sqrt{238^{2}+ 1344^{2} }[/tex]

d  = [tex]\sqrt{56644 + 1806336}[/tex]

   = [tex]\sqrt{1862980}[/tex]

    = 1364.9 miles ≈ 1,365 miles

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Answer:

Step-by-step explanation:

2038

After the 90° rotation, Block C will resemble this in some ways (see the image below).

So, rotate block C by 90°:

Block C will look somewhat like this (Refer to the image attached below) after the rotation of 90°.

Therefore, after the 90° rotation, Block C will resemble this in some ways (see the image below).

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Answer:

Step-by-step explanation:

================================================

Work Shown:

[tex](x_1,y_1) = (10,4) \text{ and } (x_2,y_2) = (7,3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{3 - 4}{7 - 10}\\\\m = \frac{-1}{-3}\\\\m = \frac{1}{3}\\\\[/tex]

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

Extra info:

A slope of 1/3 means "go up 1, then to the right 3"

Think of it like this

slope = rise/run = 1/3

rise = 1 = go up 1

run = 3 = go to the right 3

Answer:

p > -10/3

Step-by-step explanation:

-4<6+3p

-10<3p

p>-10/3

:]

Answer: p > 10/-3

Step-by-step explanation:

1) Remove the whole numbers next to the variable

Add 10 on both sides.

-3p < 10

2) Set x by itself

Divide -3 on both sides. Dividing -3 will flip the operator sign. (Dividing/Multiplying negative number flips the sign)

p > 10/-3

The missing entries are (a) $686, (b) $635, (c) $1035, (d) $1010, (e) $938.88 and (f) $447.37.

Debit card is a card owned by a person for which the money used for transaction will be withdrawn or added into the account of the holder immediately.

Given is a table showing the transactions of Gino with his debit card.

He has an initial deposit amount of $778.19.

New balance in the account will be the difference of previous balance and the payment amount.

He paid $92.19 for baseball bat.

a = $778.19 - 92.19 = $686

He paid $51.00 for gas.

b = $686 - $51 = $635

He deposited $400.

c = $635 + $400 = $1035

He paid $25 for gas.

d = $1035 - $25 = $1010

He paid $71.12 for dinner at Spooner's on the beach.

e = $1010 - $71.12 = $938.88

He paid $491.51 for the books for all semester.

f = $938.88 - $491.51 = $447.37

Hence the missing entries are found.

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Answer:

-1/4

Explanation:

To write the decimal -0.25 as a fraction we need to multiply and divide by 100 as follows:

We multiply by 100 because there are 2 digits after the decimal point.

Then, we need to simplify the fraction, so we can divide the numerator and the denominator by 25 as:

So, the fraction in its simplest form is -1/4

The flat cost of the plan = is $46 per month

Cost per gigabyte = $5 per gigabyte

Number of gigabytes = g

The maximum amount Mei Mei wants to spend on the bill = is $70 per month,

So, for each month,

$46 + $5(g) < $70

⇒ $5(g) < $70 - $46

⇒ $5(g) < $24

⇒ g < $24/$5

⇒ g < 4.8

The number of gigabytes to be used per month should be less than or equal to 4.8.

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Inequality: 5g+46<70
Answer: g<4.8

Answer:2,523

Step-by-step explanation:

It is determined that 188 students should be sampled to use the confidence interval for a proportion.

π ± z√π(1-π)/n

In which case,

z is indeed the z-score with the p-value of 1+α/2

The error margin is as follows:

M = z√π(1-π)/n

In this case:

Then:

M = z√π(1-π)/n

0.02 = 1.96√0.02(1-0.02)/n

√n = 13.72

n = 188.23

To summarize:

A total of 188 students must be sampled to estimate the proportion of of students who owns a scooter.

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Answer: 6

Step-by-step explanation:

1. add (0.5 + 4.5) which equals 5, so now you have 2 x 5^2.

2. evaluate the power (5^2) which equals 25 and you end up with 2 x 25 which equals 50.

3. now you have 300 divided by 50.

300 divided by 50 is 6.

The value of the expression 300 divided by 2(0.5 +4.5)²is 6

Simplification is reducing the expression/fraction/problem to a simpler form. It makes the problem easy with calculations and solving.

Given an expression, 300 divided by 2(0.5 +4.5)²

300/2(0.5 +4.5)²

= 300/2x5²

= 300/2x25

= 300/50

= 6

Hence, The value of the expression 300 divided by 2(0.5 +4.5)²is 6

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Step-by-step explanation:

the y-intercept (b) is the easiest :

it is the y-value, when x = 0 : -3

the slope (m) is the ratio (y coordinate difference / x coordinate difference) when going from 1 point to another.

so, we need to identify 2 points in the line.

one we have already with b : (0, -3)

another is the x-axis intercept, which is clearly (4, 0)

the difference is not important, but we need to use the same for both (x and y).

I prefer to go from left to right, so from (0, -3) to (4, 0) :

x changes by +4 (from 0 to 4)

y changes by +3 (from -3 to 0)

the slope is +3/+4 = 3/4

Answer:

=(3x - 2y( (4x - 3y)

Step-by-step explanation:

We have,

12x2 – 17xy + 6y2

The coefficient of x2 is 12

The coefficient of x is -17y

Constant term is 6y2

So, we express the middle term -17xy as -9xy – 8xy

12x2 -17xy+ 6y2 = 12x2 – 9xy – 8xy + 6y2

= 3x (4x – 3y) – 2y (4x – 3y)

= (3x – 2y) (4x – 3y)

a computer randomly selects 800 names from a list of all registered voters. Then option C  is correct  that is Simple random sampling

A simple random sample in statistics, is a subset of individuals chosen from a larger set. Each individual is chosen randomly and entirely by chance, such that each individual has the same probability for the entire larger set.

the complete question is

Identify the sampling method as simple random​ sampling, systematic​ sampling, convenience​ sampling, or stratified sampling. A computer randomly selects 800 names from a list of all registered voters. Those selected are surveyed to predict who will win the election for Mayor.

Choose the correct sampling technique below.

A. Systematic sampling

B. Convenience sampling

C. Simple random sampling

D. Stratified sampling

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