Find the number to add to x^2 + 14x to make it a perfect square trinomial. Write that trinomial as the square of a binomial.

Answer:

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

Step-by-step explanation:

Find the solution below.

Answer:    (5x2 + 3y2) • (2x2 + y2) ————————————————————————           x2y2

Step-by-step explanation:

    STEP 1:  y2

Simplify   ——

                  x2

Equation at the end of step 1:       (x2)        y2

 ((10•————)-1)-(3•——)

      (y2)        x2

STEP 2 :            x2

Simplify   ——

           y2

Equation at the end of step 2:         x2           3y2

 ((10 • ——) -  1) -  ———

        y2           x2

STEP 3:Rewriting the whole as an Equivalent Fraction  3.1   Subtracting a whole from a fraction Rewrite the whole as a fraction using  y2  as the denominator :         1     1 • y2

   1 =  —  =  ——————

        1       y2  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominatorAdding fractions that have a common denominator : 3.2       Adding up the two equivalent fractions Add the two equivalent fractions which now have a common denominatorCombine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible: 10x2 - (y2)     10x2 - y2

———————————  =  —————————

    y2             y2    

Equation at the end of step 3:  (10x2 - y2)    3y2

 ——————————— -  ———

     y2         x2

STEP 4:Trying to factor as a Difference of Squares: 4.1      Factoring:  10x2-y2 Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)Proof :  (A+B) • (A-B) =         A2 - AB + BA - B2 =         A2 - AB + AB - B2 =          A2 - B2Note :  AB = BA is the commutative property of multiplication. Note :  - AB + AB equals zero and is therefore eliminated from the expression.Check :  10  is not a square !! Ruling : Binomial can not be factored as thedifference of two perfect squaresCalculating the Least Common Multiple : 4.2    Find the Least Common Multiple       The left denominator is :       y2       The right denominator is :       x2                   Number of times each Algebraic Factor            appears in the factorization of:    Algebraic        Factor     Left  Denominator  Right  Denominator  L.C.M = Max  {Left,Right}  x 022 y 202      Least Common Multiple:       x2y2 Calculating Multipliers : 4.3    Calculate multipliers for the two fractions     Denote the Least Common Multiple by  L.C.M     Denote the Left Multiplier by  Left_M     Denote the Right Multiplier by  Right_M     Denote the Left Deniminator by  L_Deno     Denote the Right Multiplier by  R_Deno    Left_M = L.C.M / L_Deno = x2   Right_M = L.C.M / R_Deno = y2Making Equivalent Fractions : 4.4      Rewrite the two fractions into equivalent fractionsTwo fractions are called equivalent if they have the same numeric value.

Answer:

Hope it helps.....................

Answer:

Option A :- V = 301.44

Step-by-step explanation:

Formula= V = (1/3)πr²h

Volume = 1/3 × 22/7 × 36 × 8

⇒ 301.44

between 30 and 50 is approximately 40

Answer:

1/9

Step-by-step explanation:

look up mixed numbers calculator soup , it helps you <3

Answer:

1 37/50

Step-by-step explanation:

4/5÷7/15 =

1.74 =

1 74/100 =

1 37/50

Answer:

On a number line, -2.42 would be first on the left, then -0.8, 0.33, and 1.23

Step-by-step explanation:

The shaded region is the solution of the given functions f(x) = x² – 3 and g(x) = –x² + 2.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The functions f(x) = x² – 3 and g(x) = –x² + 2 are shown on the graph.

Now for the point (0, 0). Then we have

0 ≤ 0² – 3

0 ≤ – 3

which is false

Then the region is opposite to the origin.

Similarly, we have

0 > 0² + 2

0 > 2

which is false

Then the region is opposite to the origin.

Thus, the shaded region is the solution of the given functions f(x) = x² – 3 and g(x) = –x² + 2.

The graph is shown below.

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The polynomial (a + b)(a² – ab + b²) is reconstructed as (2x + y)(4y² – 2xy + y²), then the correct option is C.

Polynomial is an algebraic expression that consists of variables and coefficients. Variables are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

Tomas learned that the product of the polynomials (a + b)(a² – ab + b²) was a special pattern that would result in a sum of cubes, a³ + b³.

His teacher put four products on the board and asked the class to identify which product would result in a sum of cubes if a = 2x and b = y.

Then the polynomial equation will be

(2x + y)(4y² – 2xy + y²)

More about the polynomial link is given below.

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Answer:

C

Step-by-step explanation:

2022

[tex]2(3y + 7 + 5) = 180\\\\ \implies 3y+12=\dfrac{180}2 \\ \\ \implies 3y+12 = 90\\\\\implies 3y = 90-12\\\\\implies 3y = 78\\\\\implies y= \dfrac{78}3 \\\\\implies y=26[/tex]

Answer:

y = 26

Step-by-step explanation:

2(3y + 7 + 5) = 180

6y + 14 + 10 = 180

6y + 24 = 180

      -24    -24

6y = 156

÷6     ÷6

y = 26

I hope this helps!

Answer:

the anwer is 5 cm3

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

8. 6/12

9. 8/ 42

..........

Hope it helps.

Do comment if you have any query.

The estimated number of lines of code written by computer programmers per hour when x people are working & the correct option is  y = 27x - 4.

Table  showing the estimated number of lines of code written by computer programmers per hour when x people are working & option given   y= 47 * 1.191ˣ     y= 34 * 1.204ˣ    y=26.9x - 1.3    y = 27x - 4

To Choose the model which best represents the data.

To understand a set of data, it is helpful to organize it and provide summary descriptions of the set.

People Working   lines of code

2                             50

4                             110

6                            160

8                            210

10                           270

12                           320

x      y= 47 * 1.191ˣ    y= 34 * 1.204ˣ    y=26.9x - 1.3   y = 27x - 4

2       66.66               49.3                   52.5                 50

4       94.57               71.44                  106.3                104  

6      134.14                103.57               160.1                 158

8      190.27               150.14                213.9               212

10     269.91              217.64               267.7               266

12     382.85             315.5                  321.5               320.

Below    2              0                         4                        1

on line    0              0                         0                       2  

Above     4               6                         2                       3

Therefore  y = 27x - 4 is the best fit

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Answer:

y = 27x - 4

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Step-by-step explanation:

Answer:

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

Step-by-step explanation:

The equation for thr function f(x) is [tex]f(x)=\left(x-1\right)^{2}[/tex] . The vertex of this equation is located at (1,0). The vertex of function g(x) is located at (1,3) , meaning that the vertex of g(x) is 3 units higher than that of f(x). This can be represented in the equation using a vertical translation. The final equation for g(x) would be [tex]f\left(x\right)=\left(x-1\right)^{2}+3[/tex] .

Hope this helps! :)

Answer:

[tex]\frac{36}{4} -6[/tex]

Step-by-step explanation:

the quotient of 36 and 4 is:

[tex]\frac{36}{4}[/tex]

Mathematically we write  6 less than 36/4 like this :

[tex]\frac{36}{4} -6[/tex]

Answer:

Center: (-7,6)

Radius: 4

Step-by-step explanation:

Hope this helps :)

Answer:

Triangle C :)

Step-by-step explanation:

On the chart, it shows us that triangle c has the largest base at 5 units long :)

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

Use the slider to change the value of k.

Positive values of k shift the graph ✔ up.

Negative values of k shift the graph ✔ down

Step-by-step explanation:

Transformation involves changing the position of a function.

The true statements are:

Positive values of k shift the graph up

Negative values of k shift the graph down

The functions are given as:

The equation of g(x) implies that, f(x) is translated or shifted vertically.

The possible values of k are:

k is greater than 0 i.e. positive

k is less than 0 i.e. negative

When k is positive, then the graph of the function shifts up

If otherwise (i.e. k is negative), then the graph of function shifts down

Changing the value of k in the function g(x) = |x| + k affects the graph by shifting it vertically.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

Horizontal translation: g(x)=f(x+c).

The graph is translated as c units to the left if c>0 and c units to the right if c<0.

Vertical translation: g(x)=f(x)+k.

The graph is translated as k units upward if k>0 and k units downward if k<0.

When k is positive, the graph of g(x) is shifted upward by k units compared to the graph of f(x). This is because, for any value of x, g(x) will be greater than f(x) by k units, due to the addition of k to the absolute value of x.

Conversely, when k is negative, the graph of g(x) is shifted downward by k units compared to the graph of f(x). This is because, for any value of x, g(x) will be less than f(x) by k units, due to the subtraction of k from the absolute value of x.

Therefore, changing the value of k in g(x) = |x| + k shifts the graph vertically, either upward or downward, depending on the sign of k.

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Answer:x + y = 180

p + q = 180

p = x

Show that y = q

x = 180 - y

p = 180 - q

p = x

180 - q = 180 - y

-q = 180 - y - 180

-q = -y

-q/-1 = -y/-1

q = y  OR y = q

x + y = p + q   CHOICE B.

180 - y + y = 180 - q + q

Step-by-step explanation: your welcome

Answer:

C)

Step-by-step explanation:

Answer:

it depends on the car mpg but based on the average (24.9 mpg) you can drive about 136.95 miles

Step-by-step explanation:

24.9 x 5.5

Step-by-step explanation:

[tex] - \frac{1}{5} + \frac{1}{4} \times \frac{1}{20} [/tex]

choice 3

the answer is around 1.73, so its a little over the 1.5 mark. also, im not sure if this is what you meant, but the phrase is radical 3, or the square root of 3 :)

its the blue line!!!!

Answer:  She gave a fraction of 1/4 to charity, and she gave $150 to family

Step-by-step explanation:  Ebony had a totaly of $200 dollars to start with to give away that means if she gave 3/4 of $200 to family that would mean she gave $150 dollars to her family

Now the other part of the question is how much of the total amount did Ebony give to charity now if I understand that part correctly then it wants you to give the fraction of the total which would be she gave 1/4 out of the $200 she had for family and charity which means she gave 1/4 of $200 which is $50 to charity

Hope this Helps!

Answer:

The general formulaa for an arithmetic sequence is:

a(n) = a + d(n - 1)

Step-by-step explanation:

Answer is a(n) = a + d(n - 1)

Answer:

i dont know

Step-by-step explanation:

Answer:B

Step-by-step explanation: Distance covered = speed × time

Time = Distance /speed = 50/3