Main Factoring Special Case Quadratics

Main Factoring Special Case Quadratics

Answers

Answer 1
1)

[tex]81c {}^{2} - 4 = (9c - 2)(9c + 2)[/tex]

since it is in the form of:

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

2)

[tex]75x {}^{2} - 27y {}^{2} = (5 \sqrt{3} x - 3 \sqrt{3} y)(5 \sqrt{3} x + 3 \sqrt{3} y)[/tex]

3)

[tex]z {}^{2} + 12z + 36[/tex]

[tex]z {}^{2} + 6z + 6z + 36[/tex]

[tex]z(z + 6) + 6(z + 6)[/tex]

[tex](z + 6)(z + 6)[/tex]

[tex](z + 6) {}^{2} [/tex]

4)

[tex]4f {}^{2} + 18f + 18f + 81[/tex]

[tex]2f(2f + 9) + 9(2f + 9)[/tex]

[tex](2f + 9)(2f + 9)[/tex]

[tex](2f + 9) {}^{2} [/tex]

5)

[tex]49a {}^{2} - 14a + 1[/tex]

[tex](7a - 1) {}^{2} [/tex]

6)

[tex]x {}^{4} - 16[/tex]

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


Related Questions

Helpppppp!!!
(Show work)

Answers

Answer:

( - y - 3 , - x - 1 )

Step-by-step explanation:

( x , y ) ----> ( - y , x ) ----> ( - y - 3 , x + 1 ) ----> ( - y - 3 , - x - 1 )

PLEASE HELP WILL GIVE BRAINLIEST

Answers

Answer:

(2, -1)

Step-by-step explanation:

x = 2, y = −1

4.5
3
5
х
Find the length of x

Answers

4.5
3
5
х
Find the length of x= 3

For the following geometric sequence find the recursive formula: {-1, 3, -9, ...}.

an = (-3) n - 1
an = -3 · an - 1 where a1 = -1
an = -3 · an - 1 where a1 = 1
an = -1 · (-3) n - 1

Answers

Answer:

an = -3 · an - 1 where a1 = -1.

Step-by-step explanation:

The first term a1 = -1 and the common ratio is -3 so ecah term is formed form the previous one by multiplying by -3.

There are 221 students on a field trip.
. Five students ride in a van.
. The rest of the students fill 6 buses.
Enter an equation that can be solved to find the number of students, s, that are on each bus. Enter your response in
the first response box.
Enter the number of students that are on each bus. Enter your response in the second response box.

Answers

The equation that models the students is a linear equation

The equation that models the number of students in each bus is 6x = 216, and the number of students in each bus is 36

How to determine the equation?

The given parameters are:

Students = 221

Van = 5

The rest students = 6 buses

Start by calculating the number of students remaining:

Remaining students = 221 - 5

Remaining students = 216

Represent the number of students in each bus with x.

So, we have:

6 buses * x  = Remaining students

This gives

6x = 216

Divide both sides by 6

x = 36

Hence, the equation that models the number of students in each bus is 6x = 216, and the number of students in each bus is 36

Read more about linear equations at:

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help me please!! will choose brainlyest if you get it right

Answers

The ones I highlighted are the answer

Please help, again. I really need this grade!

Answers

S= 140/18= 7.77, SD =2.58;
H=1208/18= 67.11, SD= 4.54

(5,63), (7,61), (4,60), (6.5,64), (12,77), (9,72), (8,66),(4,65), ((9,70), (8,69),(7.5,65),(4,62), (6.5,65), (6,66), (11.5,67),(10.5,71), (10.5,74),(11,71)

HELPP PLEASE!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Third one down |2s + 1| -3

Step-by-step explanation:

there is no value of s where it is valid

Please Help! Will give Brainlest!

Answers

Answer:

amplitude = 2

Step-by-step explanation:

the amplitude is the distance from the x- axis(midline ) to the maximum value , that is

amplitude = 2

[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]

Option B ( 2 )

the amount by which the graph of the function travels above and below its midline.

OR,

[tex] \sf{amplitude = distance \: from \: undisturbed \: position \div centre \: line \: to \: through \: or \: peak \: }[/tex]

[tex]\purple{\rule{15mm}{2.9pt}} \red{\rule18mm{2.5pt}} \orange{ \rule18mm{2.5pt}}[/tex]

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

the diameter of a circle is 13.8cm. Find the length of its radius​

Answers

Hello!

R = D/2

R= 13,8/2 => 6,9cm

The length of the circle's radius is 6.9 cm.

The diameter of a circle is twice the length of its radius. So, to find the length of its radius (r), you can divide the diameter (d) by 2.

Given: Diameter (d) = 13.8 cm

Length of radius (r) = d / 2

r = 13.8 cm / 2

r = 6.9 cm

The length of the circle's radius is 6.9 cm.

To know more about radius:

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At which point would the graphs of the equations below intersect?

{
3
x

4
y
=

2

6
x
+
5
y
=
7
3x-4y = -2 -6x+5y = 7

A.
(

2
,


1
)
(
-
2
,

-
1
)
B.
(
2
,


1
)
(
2
,

-
1
)
C.
(

1
,

2
)
(
-
1
,

2
)
D.
(

1
,


2
)

Answers

Answer:

can't explain without you arranging your mathematical expression

Solve the equation . 5x+17=42

Answers

5X + 17 = 42
-17 -17
5X = 42
—— ——
5 5

X = 5

Answer:

x = 5

Step-by-step explanation:

5x+17=42

5x + 17 - 17 = 42 - 17

Dylan owns a bag that contains 7 blue marbles, 5 purple marbles, 12 red marbles, and 6 orange marbles. If he randomly pulls a marble from the bag, What is the probability of him pulling a red marble? What is the probability of him pulling a blue or purple marble?

Answers

Answer:

The probability of him pulling a red marble is 12 to 30. The probability of him pulling a blue or purple marble is also 12 to 30.

Step-by-step explanation:

7+5+12+6=30 (all colors)

12 to 30 red ones

7+5+12+6=30 (all colors) and

7+5=12 (blue + purple)

12 to 30 blue or purple

Fill in the table using this function rule

y=2x+2

Photo ⬇️

Answers

Answer:

Step-by-step explanation:

Put the values of x to the equation y = 2x + 2 and calculate the value of y:

x = 2

y = 2 · 2 + 2 = 4 + 2 = 6

x = 5

y = 2 · 5 + 2 = 10 + 2 = 12

x = 6

y = 2 · 6 + 2 = 12 + 2 = 14

x = 8

y = 2 · 8 + 2 = 16 + 2 = 18


please show steps to solve the problem thank you

Answers

Answer:

65 total number of boys

Step-by-step explanation:

In the boys row there are 45 "Blue" boys and 20 "Orange" boys.

You can add these numbers up together to find the answer to this problem.

45 + 20 = 65

65 total number of boys

There is 65 boys in total
45+20 = 65

Find the smallest number by which 350
must be multiplied to give a perfect square.

Answers

Answer:

the smallest number by which 350 by answer is 15

Can sombody solve this please. :)

Answers

144 x m - 309.6 = 50.4

Add 309.6 to both sides:

144 - 309.6 + 309.6 = 50.4 + 309.6

Simplify the arithmetic:

144 x m = 50.4 + 309.6

Simplify the arithmetic:

144 x m =360

m = 5/2

(h+1)^2=16 solve using square root property

Answers

Answer: h = 3

Step-by-step explanation:

(h+1)² = 16

h+1 = √16

h+1 = 4

h = 3

Hope this helped :)

Answer:

[tex]h=3, \ h=-5[/tex]

Step-by-step explanation:

[tex](h+1)^2=16[/tex]

[tex](h+1)^2=16[/tex]

[tex]\sqrt{(h+1)^2} = \±\sqrt{16}[/tex]                    <== you take the square root of both sides

[tex](h+1) = \±\ 4[/tex]                            <== you take the square root of both sides

[tex](h+1) = +\ 4, \ (h+1) = -\ 4[/tex]    <== separate into 2 equations and solve

[tex]h+1 = 4, \ h+1 = -\ 4\\\\. \ -1 -1, \ \ \ \ -1\ \ \ \ -1\\\\h=3, \ h=-5[/tex]

Hope this helps!

can someone help me? it’s due in a few hours

Answers

Answer:

cars value decreases in value exponentially

Step-by-step explanation:

cant really read it but say that the cars value decreases in value exponentially and compare that to however the other cars decrease in value over time

A rectangle has length 1. 5 times the width, and perimeter 12 cm. What are the dimensions of
the rectangle?

Answers

Answer:

Length = 3.6

Width= 2.4

Step-by-step explanation:

A rectangle has length 1. 5 times the width, and perimeter 12 cm. What are the dimensions of

the rectangle?

So a rectangle has 2 longer sides and 2 shorter sides.

Knowing the length is 1.5 times the width

and perimeter of 12 centimeters.

The Perimeter is the adding of all the values around a shape. A rectangle has 4 sides so you add up all the sides.

1.5w+1.5w+w+w=12

5w=12

12/5=w

w=2.4

To figure the length just multiply 1.5*2.4=3.6

And That is how you solve it :)

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If you need any help, im at your service :)

Christopher opened a savings account with $1800 that pays no interest. He deposits an additional $90 each week thereafter. How much money would Christopher have in the account 42 weeks after opening the account?

Answers

Answer:

I think 5580

Step-by-step explanation:

You move the 1800 away for a bit so since it's 42 weeks you have to multiply 90 and 42 then add that to 1800.

Lines j and k are intersected by line m. At the intersection of lines j and m, the uppercase left angle is 93 degrees. At the intersection of lines k and m, the bottom right angle is 93 degrees.
Given the information in the diagram, which theorem best justifies why lines j and k must be parallel?

alternate interior angles theorem
alternate exterior angles theorem
converse alternate interior angles theorem
converse alternate exterior angles theorem

Answers

Answer: converse alternate exterior angles theorem

Step-by-step explanation:

The angles are alternate exterior angles.

Helppppppppppppppppppp

Answers

Answer:

8/27

Step-by-step explanation:

It says to use V=s^3.

s is the the side length of the cube which is 2/3 in this case.
So to get your answer you have to do: (2/3)^3 or 2/3 x 2/3 x 2/3.

Can someone please answer & show work? Thanks.

Answers

I hope this helps good luck

Which value is a solution to x <

Answers

Answer:

0

Step-by-step explanation:

it less than 4 so u can't pick 4,so it is any number less than 4

Answer:

B) 0

Step-by-step explanation:

The open circle on 4 and the arrow pointing to the left means x < 4

x < 4 means that x is smaller than 4

4 = 4   incorrect as this says 4 is equal to 4

0 < 4   CORRECT as zero is smaller than 4

5 > 4   incorrect as 5 is bigger than 4

4.5 > 4   incorrect as 4.5 is bigger than 4

The length of one leg of an isosceles right triangle is 3 ft. What is the perimeter of the triangle? 3 3 StartRoot 2 EndRoot ft 3 3 StartRoot 3 EndRoot ft 6 3 StartRoot 2 EndRoot ft 6 3 StartRoot 3 EndRoot ft.

Answers

The perimeter of the isosceles right triangle comes to be 6+3√2.

Given that the length of one leg of an isosceles right triangle = 3 ft

What is an isosceles right triangle?

A right-angle triangle having sides other than hypotenuse equal to each other is called an isosceles right triangle.

So, The length of the other leg of an isosceles right triangle = 3 ft

From Pythagoras theorem

Hypotenuse²=Perpendicular²+Base²

So, in the given isosceles right triangle

Hypotenuse²=Leg 1²+Leg2²

Leg 1=Leg2 = 3 feet

Hypotenuse² =  3²+3²

Hypotenuse = 3√2 ft.

So, the perimeter of the triangle = 3+3+ 3√2

The perimeter of the triangle =6+3√2

Therefore, The perimeter of the isosceles right triangle comes to be 6+3√2.

To get more about the right triangle visit:

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Answer:

6 + 3 StartRoot 2 EndRoot ft

Step-by-step explanation:

Edge2022

Use the linear inequality + 8y 24 for Part A, Part B, and Part C. Part A: Determine the boundary line, and state whether the line will be dashed or solid. Part B: Which half-plane should be shaded? Describe where you should shade using the language "above" or "below" the line. Part C: Show your work for Part B to show how you determined which half-plane to shade.​

Answers

Answer:

Given inequality:  [tex]x+8y\leq 24[/tex]

Part A

Solid line: ≤ or ≥

Dashed line: < or >

Therefore, the line will be solid.

Part B

Shading above the line: y > or y ≥

Shading below the line: y < or y ≤

Therefore, shade below the line.

Part C

Make y the subject to determine where to shade.

Given inequality:  

[tex]x+8y\leq 24[/tex]

Subtract x from both sides:

[tex]8y\leq 24-x[/tex]

Divide both sides by 8:

[tex]y\leq 3-\dfrac18x[/tex]

[tex]\\ \rm\Rrightarrow x+8y\leqslant 24[/tex]

#Part A

as ≤ is present line will be dashed

#Part B

Put (0,0)

0+8(0)≤240≤24

Satisfied

Shading below the line and towards origin

#Part C

turn into y=mx+b form

8y≤-x+24y≤-1/8x+3

6,402.66 divided by 459438.26

Answers

Answer: 0.0139358  

Step-by-step explanation: 999,999,999,999,999,999,999,999,999,999,999% sure!

You can buy jars of the same jam in two sizes.

Answers

Step-by-step explanation:

Large Jar 540g for 2.16

540/2.16 = 250

(Always divide by the smallest ratio)

= 250g per 1£

Small Jar 360g for 1.37

360/1.37=262.77g

= 262.77g per 1£

Small Jar is the best value for money, more grams, same price.

What are quadratic equations? What are some examples?

Answers

Answer:Examples of quadratic equations are: 6x² + 11x – 35 = 0, 2x² – 4x – 2 = 0, 2x² – 64 = 0, x² – 16 = 0, x² – 7x = 0, 2x² + 8x = 0 etc. From these examples, you can note that, some quadratic equations lack the term “c” and “bx.”

Step-by-step explanation:

A quadratic equation in the variable x is an equation of the form ax^2 + b x + c = 0, where a, b, c are real numbers, a ≠ 0.

What are quadratic equations?

Quadratics can be defined as a polynomial equation of a second degree, which implies that it comprises a minimum of one term that is squared. It is also called quadratic equations.

The standard form of a quadratic equation is;

Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = ax^2 + bx + c where a, b, c, ∈ R and a ≠ 0.

These are the following examples of the quadratic equation;

x^2-2x

x^2+5x+6

x^2-5x

Any equation of the form p (x) = 0, where p (x) is a polynomial of degree 2, is a quadratic equation.

If we write the terms of p (x) in decreasing order of their degrees, then we get the standard form of the equation.

Learn more about quadratic equations here;

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