Is this equation an identity? (2x+1)^2-(x+1)^2=3(x+1)^2-1

Answers

Answer 1

Answer:

See below, please

Step-by-step explanation:

Left side

[tex] {(2x + 1)}^{2} - {(x + 1)}^{2} [/tex]

[tex] = (4 {x}^{2} + 4x + 1) - ( {x}^{2} + 2x + 1)[/tex]

[tex] = (4 {x}^{2} - {x}^{2} ) + (4x - 2x) + (1 -1 )[/tex]

[tex] = 3 {x}^{2} + 2x[/tex]

Right side

[tex]3 \times {(x + 1)}^{2} - 1[/tex]

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

[tex] = 3 {x}^{2} + 6x + 3 - 1[/tex]

[tex] = 3 {x}^{2} + 6x + 2[/tex]

After compared with both sides, we can make a conclusion that

This equation isn't an identity.


Related Questions

Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an (x,y)(x,y) point. y=−x ^2 −8

Answers

Answer:

Step-by-step explanation:

emma really smells bad do not answer this question

help on this please.

Answers

Are you trying to find the blank angle or are you looking for the equivalent of something here is something that might be able to help. I do not know if this answers your questions

A rectangle has a width that is 5 feet less than the length. The area of the rectangle is 126 square feet. Find the dimensions of the rectangle

Answers

Given:

A rectangle has a width that is 5 feet less than the length. The area of the rectangle is 126 square feet

[tex]\\[/tex]

❍Let's assume, Length of rectangle x feet and width of the rectangle x - 5 feet respectively.

[tex]\\[/tex]

To calculate the dimensions of the rectangle we will use the formula of Area of rectangle:

[tex]\\[/tex]

[tex] \: \: \: \: \: \: \: { \underline{ \boxed{ \pmb{ \frak{ Area_{(rectangle)} = Length \times width }}}}} \\ \\ [/tex]

[tex]\\[/tex]

[tex] \underline {\sf{Substituting \: the \: values~ in~ above~formula: }} \\ [/tex]

[tex]\\[/tex]

[tex] : \implies \sf \:x \times (x - 5) = 126 \\ \\ \\ : \implies \sf \:x^2 - 5x = 126 \\ \\ \\ : \implies \sf \:x^2 - 5x - 126 = 0 \\ \\ \\ : \implies \sf \:x^2 - 14x - 9x - 126 = 0 \\ \\ \\ : \implies \sf \:x (x - 14) - 9 (x + 14) = 0 \\ \\ \\ : \implies \sf \:(x - 14)(x - 9) = 0 \\ \\ \\ : \implies { \boxed { \purple{\pmb { \: x = 14 \: \: or \: \: x = -9}}} } \\ \\ \\ [/tex]

We know that side can't be negative. So, x = 14 feet

Hence,

Width of rectangle = x - 5 = 9 feetLength of rectangle = x = 14 feet

[tex]\\[/tex]

[tex] \\ { \underline{ \pmb{ \frak{\therefore Dimensions \: of \: rectangle \: are \: 9~ feet \: and \: 14 ~feet \: }}}}[/tex]

Given that, width of the rectangle is 5 feet less than the length and area of the rectangle is 126 sq. feet, and we are told to find the dimensions i.e the length and width of the rectangle.

As we know that the area of a rectangle is length times it's width, so if we assume our length to be x, so our width is just going to be (x - 5) , and putting it in the area formule we can thus obtain;

[tex]{:\implies \quad \sf x(x-5)=126}[/tex]

[tex]{:\implies \quad \sf x^{2}-5x-126=0}[/tex]

[tex]{:\implies \quad \sf x^{2}-14x+9x-126=0}[/tex]

[tex]{:\implies \quad \sf x(x-14)+9(x-14)=0}[/tex]

[tex]{:\implies \quad \sf (x-14)(x+9)=0}[/tex]

So, here either (x - 14) = 0 or (x + 9) = 0, when you equate both, you will get x = 14 or -9 but as x ≠ -9, so x = 14, and then x - 5 = 14 - 5 = 9

Hence, the required length and width are 14 feet and 9 feet respectively

7/16 = ___% ai need it step by step

Answers

Answer:

43.75%

Step-by-step explanation:

Step 1: Divide 7 by 16 to get the number as a decimal. 7 / 16 = 0.44

Step 2: Multiply 0.44 by 100. 0.44 times 100 = 43.75. That's all there is to it!

determine the common factors and HCF for each of the following terms

1) Зw, 5w
2)5bc ,2c², 3cd
3)4a² b, 8b² c ,6bcd

PLS HELP ​

Answers

1) For the term 3w, 5w, the HCF is "w" since it is common for both terms

2) For the terms 5bc ,2c², 3cd, the only common term is "c" hence the HCF of the terms will be "c"

3) For the set 4a² b, 8b² c ,6bcd, the HCF of the term is 2 since that is the only common value of the terms.

Common factors and HCF of values

The HCF is the smallest value that can divide a set of values without leaving a remainder.

Given the following terms, we are to find their HCF's

1) For the term 3w, 5w, the HCF is "w" since it is common for both terms

2) For the terms 5bc ,2c², 3cd, the only common term is "c" hence the HCF of the terms will be "c"

3) For the set 4a² b, 8b² c ,6bcd, the HCF of the term is 2 since that is the only common value of the terms.

Laern more on HCF here: https://brainly.com/question/21504246

Which expression is the factorization of x2 10x 21?

Answers

The factorization of the given expression [tex]\rm x^2+10x+21[/tex] is (x+3)(x+7) the option first is correct.

It is given that the expression [tex]\rm x^2+10x+21[/tex]

It is required to find which expression is the factorization of the given expression, the options are:

a) (x + 3)(x + 7)

b) (x + 4)(x + 6)

c) (x + 6)(x + 15)

d) (x + 7)(x + 14)

What is polynomial?

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We have an expression:

[tex]\rm x^2+10x+21[/tex]

[tex]\rm x^2+7x+3x+21[/tex]  

Breaking 10x into 7x and 3x because the multiplication of 7x and 3x is [tex]\rm 21x^2[/tex] and the addition is 10x.

[tex]\rm x^2+7x+3x+21\\\\\rm x(x+7)+3(x+7)\\\\\rm (x+7)(x+3)[/tex]or

[tex]\rm (x+3)(x+7)[/tex]

Thus, the factorization of the given expression [tex]\rm x^2+10x+21[/tex] is (x+3)(x+7) the option first is correct.

Learn more about Polynomial here:

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Hal is going over the credit scores he received from the three major credit bureaus. He Experian score is 711, his Equifax score is 736, and his TransUnion score is 736. What is the mode of Hal’s credit scores? (Round to the nearest whole point, if applicable. ) a. 736 b. 728 c. 723 d. There is no mode in this group.

Answers

The Halls credit score is 2186.

We have given that,he experian score =711

his equifax score =736

his trans union score =736

What is the meaning of Hals score?

Hals credit score = sum of all score.

Hals credit score = sum of all score.

=711+736+736

=2186

Therefore, the Halls credit score is 2186.

To learn more about the credit score visit:

https://brainly.com/question/23024185

Answer:Answer is A

Step-by-step explanation:grandma told me

X= ___ Degrees? Will Mark Brainliest, Please Help!!!
solve all attached below for 100 points.

Answers

Answer:

53°

Step-by-step explanation:

Nick and his family travel by train to New York City.
The clocks show when the train leaves the station and when it arrives in New York City.

How long is the train ride?

Answers

Answer:4:15

Step-by-step explanation:

EZ

consider the equation 21= m +14 1/6 which which step will help to solve this equation

Answers

Answer:

m = 41/6

Step-by-step explanation:

21 = m + 14 1/6

Convert everything into improper fractions with a denominator of 6.

21 = m + 14 1/6126/6 = 6m/6 + 85/6126 = 6m + 856m = 126 - 856m = 41m = 41/6

What is the slope of this line whose equation is y=1/6x-1/2

Answers

Answer:

The slope = 1/6.

Step-by-step explanation:

The general form for a straight line  is

y = mx + c   where m is the slope

So in this case m = 1/6.

Please Help!
In the diagram, secant AP intersects the circle at points A and B, and secant CP intersects the circle at points C and D. The lines intersect outside the circle at point P.
What is the length of AP?
(There are no answer options you must enter the correct value)

Answers

Answer AP might be 12

Step-by-step explanation:

The length of AP when secant AP intersects the circle at points A and B, and secant CP intersects the circle at points C and D. is 12 units.

The length of AP can be found using the following steps:

Draw a radius from the center of the circle to point P.

Let the radius intersect secant AP at point E.

Since AP and PE are secant segments, they share a common external tangent at point P.

Therefore, the two triangles, APE and BPF, are similar triangles.

The ratio of corresponding sides in similar triangles is equal, so:

AP/PB = PE/PF

We know that PB = 5 and PF = 20, so:

AP/5 = PE/20

Solving for AP, we get:

AP = 5 * 20/5 = 20

The diagram shows the two similar triangles, APE and BPF. The two triangles are similar because they share a common external tangent at point P. The ratio of corresponding sides in similar triangles is equal, so we can use the ratio of AP to PB to find the length of AP.

To learn more about length here:

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#SPJ2

Question 9 of 12
What is cos 60°?
A. 13
B. 1
C.
2
D.
2.
E.
NS-
F. V

Answers

The answer is D 1/2
Cos of 60 = 0.5
Which 0.5 as a fraction is 1/2

Answer:

D

Step-by-step explanation:

You can find the answer by memorizing the values of the unit circle.

5 pounds=. Ounces


I need helppp

Answers

Answer:  80 ounces

Work Shown:

1 pound = 16 ounces

5*(1 pound) = 5*(16 ounces)

5 pounds = 80 ounces

5 pounds = 80 ounces


A toy is on sale for 15%. If the sales price is $79.90, what was the original price?

helpp mee

Answers

Answer:

$94.00

Step-by-step explanation:

First, do [tex]79.9*\frac{100}{85}[/tex]

Then multiply to get your answer of 94.

Yea just checked at the original price is 94.00

PLEASE HURRY! (once more)
A cooler contains three​ colas, seven​ root beers, and three​ ginger ales.​ Three​ people grab a drink at random, one at a time.

a) What is the probability that the first person grabs a cola, the second person grabs a ginger ale, and the third person grabs a cola?

b) What is the probability that the third person grabs a root beer given that the first two grabbed colas?

Answers

Answer:

a) 3/286

b) 7/286

Step-by-step explanation:

We start with 13 drinks. After the first person takes one drink, there are 12 drinks left, After the second person takes one drink, there are 11 drinks available for the third person.

a) From the 13 drinks, there are 3 colas, From the 12 remaining drinks, there are 3 ginger ales. From the 11 remaining drinks, there are 2 colas. We have:

[tex] \frac{3}{13} \times \frac{3}{12} \times \frac{2}{11} = \frac{3}{286} [/tex]

b) From the 13 drinks, there are 3 colas. From the 12 remaining drinks, there are 2 colas. From the 11 remaining drinks, there are 7 root beers. We have:

[tex] \frac{3}{13} \times \frac{2}{12} \times \frac{7}{11} = \frac{7}{286} [/tex]

Express in the form n : 1. Give n as a fully simplified fraction. 10 : 12

Answers

Answer:

[tex]\frac{5}{6}:1[/tex]

Step-by-step explanation:

[tex]10:12[/tex] divide both sides of this ratio by 12 to give a ratio in the form [tex]n:1[/tex]

[tex]\frac{10}{12}:1[/tex] which simplifies to [tex]\frac{5}{6}:1[/tex]

Someone help me with this pls

Answers

Answer:

MAYBE

Step-by-step explanation:

Answer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWER

SOORY

Examine the following piecewise function.


A graph formed of straight line segments between the following points: (negative 8, 3), (negative 2, 8), (2, 8), (3, 0), and (7, negative 7).


© 2018 StrongMind. Created using GeoGebra.



Which statements are true?


Select all that apply.
1.The function is increasing over the interval 2≤x≤3

2.The function is increasing over the interval 2≤x≤3.

3.The function is increasing over the interval −8≤x≤−2.

4.The function is increasing over the interval −8≤x≤−2.

Answers

By analyzing when the piecewise function increases and when it decreases, we can conclude that the true statement is:

"The function is increasing over the interval −8≤x≤−2."

Which statements are true?

We know that our function is made of straight lines that connect:

Point (-8, 3) with (-2, 8)   {This is an increasing line}Point (-2, 8) with (2, 8)   {This is a horizontal line}Point (3, 0), and (7, -7)   {This is a decreasing line}

(to see if it increases or decreases, compare the y-value of the second and first point. If the second is larger, then the line increases).

Then the statement that is true is:

3) "The function is increasing over the interval −8≤x≤−2."

If you want to learn more about piecewise functions, you can read:

https://brainly.com/question/3628123

A pupil who scored 50 in his paper 1



exam got ill and missed paper 2.



use the line of best fit to predict what



his paper 2 mark could have been.

Answers

The graph of the pupil's score is an illustration of scatter plots

The student's expected score in paper 2 is 62

How to predict the score in the missed paper

To predict the score of the pupil in the missed paper, we simply interpret the points on the line of best fit of the scatter plot

From the graph (see attachment), we have:

Paper 2 = 62 when Paper 1 = 50

This means that the student's expected score in paper 2 is 62

Read more about scatter plots at:

https://brainly.com/question/6592115

-2x + 1 = 4x + 9
I don’t know what to solve for x?

Answers

Answer:

x = -1.33333333333

Step-by-step explanation:

[tex]\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}[/tex]

[tex]-2x+1-1=4x+9-1[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-2x=4x+8[/tex]

[tex]\mathrm{Subtract\:}4x\mathrm{\:from\:both\:sides}[/tex]

[tex]-2x-4x=4x+8-4x[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-6x=8[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-6[/tex]

[tex]\frac{-6x}{-6}=\frac{8}{-6}[/tex]

[tex]x=-\frac{4}{3}[/tex]

[tex]x=-1.33333333333[/tex]

~Lenvy~

evaluate 8-m/n+ p2 when m=8 n=2 p=7

Answers

hello!

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

let's evaluate this expression

[tex]\pmb{\displaystyle\frac{8-m}{n+p^2} }[/tex]

[tex]\pmb{\displaystyle\frac{8-8}{2+7^2}}[/tex] (step 1)

[tex]\pmb{\displaystyle\frac{0}{2+49}}[/tex] (step 2)

simplify:

[tex]\pmb{\displaystyle\frac{0}{51}}[/tex] (step 3)

[tex]\pmb{0}[/tex] (step 4)

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

note:-

Hope everything is clear; if you need any more clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

The human resources manager at a company records the length, in hours, of one shift at work, X. He creates the probability distribution below. What is the probability that a worker chosen at random works at least 8 hours? A probability distribution has the number of hours on the x-axis and the probability on the y-axis. The probability of 6 hours is 0. 02; 7 hours is 0. 11; 8 hours is 0. 61; 9 hours is 0. 15; 10 hours is 0. 9. 0. 62 0. 78 0. 84 0. 96.

Answers

The probability that a worker chosen at random works at least 8 hours is Option C: 0.84 approx.

How to evaluate the probability of a random variable getting at least some fixed value?

Suppose the random variable in consideration be X, and it is discrete.

Then, the probability of X attaining at least 'a' is written as:

[tex]P(X \geq a)[/tex]

It is evaluated as:

[tex]P(X \geq a) = \sum_{\forall \: x_i \geq a} P(X = x_i)[/tex]

The probability distribution of X is:

        x                      f(x) = P(X = x)

        6                               0.02
        7                               0.11

        8                               0.61

        9                               0.15

        10                              0.09

Worker working at least 8 hours means X attaining at least 8 as its values.

Thus, probability of a worker chosen at random working 8 hours is

P(X ≥ 8) = P(X = 8) + P(X = 9) +P(X = 10) = 0.85 ≈ 0.84 approx.

By the way, this probability distribution seems incorrect because sum of probabilities doesn't equal to 1.

The probability that a worker chosen at random works at least 8 hours is Option C: 0.84 approx.

Learn more about probability distributions here:

https://brainly.com/question/14882721

39y³(50y² - 98) ÷26y²5y + 7)​

Answers

Answer:

3y5 • (5y + 7)2 • (5y - 7) then solve that which is (3•2y5) • (5y + 7) • (5y - 7) and keep going { 3x−2y=5 & 2x−5y=7

SOLVE FOR X, Y

x=1

y=−1

I hope this helps a little

Can you reflect an angle over the line y = -x? Explain.

O No, there is not a way to map the vertex of the preimage angle to the vertex of the image angle.

Yes, only angles can be reflected over diagonal lines.

O No, you cannot reflect angles over diagonal lines.

O Yes, you can reflect angles, or any object, in the coordinate plane over any line in the plane.

Answers

Answer: Yes, only angles can be reflected over diagonal lines.

Step-by-step explanation:

see photo

plss help!
Question: Find a,b and c​

Answers

Answer:

See below, please

Step-by-step explanation:

The right:

[tex] {(y + c)}^{2} - b \times (x + a) \\ = ( {y}^{2} + 2yc + {c}^{2} ) - bx - ba = [/tex]

[tex] = {y}^{2} - bx + 2cy + {c}^{2} - ab[/tex]

The left:

[tex] = {y}^{2} - 7x - 18y + 109[/tex]

So, after comparing the right side and the left side of this equation, we know

1)

[tex]b = 7[/tex]

2)

[tex]2c = - 18 \\ so \\ c = - 9[/tex]

3)

[tex] {c}^{2} - ab = 109[/tex]

So,

[tex]a = \frac{ {c}^{2} - 109}{b} = \frac{ { (- 9)}^{2} - 109}{7} = \frac{ - 28}{7} = - 4[/tex]

15 points possible!!!!!!!!!!!!!!!!!!!! :)

Answers

Answer:

The answer would be 195 Strikeouts

Step-by-step explanation:

You take the number of each x then times by the number on the bottom so in this case, you have 3 15s that would be 45. for the 16s you have 5 so you do this math and you end up with 80 and keep going until you did all of them then add them up and that's your answer.

Let's analyze the data

Three players got 15 strikeouts

Five players got 16 strikeouts

Two players got 17 strikeouts

Two players got 18 strikeouts

Now lets solve:

      Total number of strikeouts = 3 * 15 + 5 * 16 + 2*17 + 2*18

                                                     = 15 + 80 + 34 +36

                                                     = 95 + 70 = 165

Hope that helps!

HELP WILL MARK BRAINIEST!!!
For each of the following two quantities in Problems 1-4, which has the greater
magnitude?
2.-14 feet and 23 feet

Answers

Answer:

23 feet

Step-by-step explanation:

The absolute value of -14 is fourteen.

The absolute value of 23 is twenty-three

23>14

which fraction is between 2/3 and 6/7

Answers

Answer:

For example, 16/21

Step-by-step explanation:

Are there choices?

There is an infinite number of numbers between any two numbers.

2/3 = 14/21

6/7 = 18/21

One example of a fraction between 2/3 and 6/7 is 16/21

16/21 is between 2/3 and 6/7.

the perimeter of this figure is 70 feet. how long are the unkown sides?
5 ft
6 ft
10 ft
12 ft​

Answers

Answer:

The correct answer is 6 ft. Hope this helps!

Step-by-step explanation:

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