Factorize this and solve no p, q, s, t, w​

Answer:

4

Step-by-step explanation:

Let's simplify step-by-step.

−2z2+4z+2z2

Combine Like Terms:

=−2z2+4z+2z2

=(−2z2+2z2)+(4z)

=4z

Answer:

4z

Hope this helps <3 Need thanks?

Comment /hearthelp

[tex]\\ \sf\longmapsto -2z^2+4z+2z^2[/tex]

[tex]\\ \sf\longmapsto -2z^2+2z^2+4z[/tex]

[tex]\\ \sf\longmapsto (-2+2)z^2+4z[/tex]

[tex]\\ \sf\longmapsto 0z^2+4z[/tex]

[tex]\\ \sf\longmapsto 4z[/tex]

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

Explanation:

Cut the x coefficient (10) in half to get 10/2 = 5. Then square this to get 5^2 = 25.

We'll add 1 to both sides so that the "24" turns into "25", thereby completing the square

x^2 + 10x + 24 = 0

x^2 + 10x + 24+1 = 0+1

x^2 + 10x + 25 = 1

Notice on the left hand side we have something of the form A^2+2AB+B^2 where A = x and B = 5. We can factor this into (A+B)^2, which is the whole reason why we completed the square. You can use the FOIL rule to see how (A+B)^2 expands out into A^2+2AB+B^2. Factoring reverses this process.

This means x^2+10x+25 factors to (x+5)^2 and we now have these steps

(x+5)^2 = 1

x+5 = sqrt(1) or x+5 = -sqrt(1)

x+5 = 1 or x+5 = -1

x = 1-5 or x = -1-5

x = -4 or x = -6 are the two solutions

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

Let's check x = -4 to see if it works or not

x^2 + 10x + 24 = 0

(-4)^2 + 10(-4) + 24 = 0

16 - 40 + 24 = 0

-24 + 24 = 0

0 = 0

We get a true equation. That confirms x = -4 is a solution.

If we tried x = -6, then,

x^2 + 10x + 24 = 0

(-6)^2 + 10(-6) + 24 = 0

36 - 60 + 24 = 0

-24 + 24 = 0

0 = 0

That x value is confirmed as well.

Answer:

2x^2 - 18x + 45

Step-by-step explanation:

Standard form is ax^2 + bx + c

Expand the (x-5)^2 = (x-5)(x-5) --

x^2 - 5x - 5x + 25

x^2 - 10x + 25

So we now have

2(x^2 - 10x + 25) + 2(x-5) + 5

From here, distribute the 2 to each term in x^2 - 10x + 25, and distribute the 2 to each term in x - 5.

2x^2 - 20x + 50 + 2x - 10 + 5

Combine like terms

2x^2 - 20x + 2x + 50 - 10 + 5

2x^2 - 18x + 40 + 5

2x^2 - 18x + 45

Answer:

see explanation

Step-by-step explanation:

sum the parts of the ratio, 2 + 1 = 3 parts , thus

81 cm² ÷ 3 = 27 cm² ← value of 1 part of the ratio

2 parts = 2 × 27 = 54 cm²

Area of A = 54 cm² and area of B = 27 cm²

The side of the original square = [tex]\sqrt{81}[/tex] = 9 cm

The width of both rectangles is 9 cm ( width remains unchanged after cut )

Thus

Rectangle A

9 × length = 54 ( divide both sides by 9 )

length = 6 cm

Rectangle B

9 × length = 27 ( divide both sides by 9 )

length = 3 cm

Rectangle A → length = 6 cm, width = 9 cm

Rectangle B → length = 3 cm , width = 9 cm

Answer:

Rectangle A                 Rectangle B

length = 9 cm                length = 9 cm

width = 6 cm                  width = 3 cm

Step-by-step explanation:

Area of square At = 81 cm²

Square is cut into two pieces = A + B

The ration of area A to B = 2:1

Find

Rect A        Rect B

length         length

width           width

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

first, get the side of the square = A = s²

81 = s²,      

s = √81      

s = 9 cm

since the ratio is 2:1, therefore the side can be divided into 3

9 ÷ 3 = 3 cm ----- take note of this to get the Width

Rectangle A

L = 9 cm (which is the s = 9 cm)

W = 3 cm (2 ratio) = 6 cm

Rectangle B

L = 9 cm  (which is the s = 9 cm)

W = 3 cm (1 ratio) = 3 cm

Proof:

At = A + B

81 = (9x6) + (9x3)

81 = 54 + 27

81 = 81  ----- OK

~Divide

6/1 ÷ 2/3

6/1 * 3/2

18/2 or 9

So, she can cut 9 two third sections of ribbon.

Best of Luck!

Answer:

Part A

16y = 7x + 101

Part B

3y = 5x + 30

Part C

y = -5x/3

Part D

x = -3

Answer:

3x3÷2= 4.5cm^2

The formula is 1/2×base×slanted height

Step-by-step explanation:

Answer:

Step-by-step explanation:

V = ¹/₃•(¹/₂•10•9)•10 = ¹/₃•45•10 = 15•10 = 150 in²

Answer: x = 8.77

Step-by-step explanation:

Using Pythagoreus Theorem

In the smaller rectangle

4²+5² = h²

41 = h²

h = √41

Therefore two sides of the rectangle will √41

No using pythagoreus theorem in the bigger triangle

6² + (√41)² = x²

x² = 36+41

x² = 77

x = √77

x = 8.7749643874

When rounded off to nearest tenth the hundreth digit is in 0-5 range

x = 8.77

Please click thanks and mark brainliest if you like

Answer:

x=8.6 c.x=5.7 d.x=26.3. d.x=26.3 is the answer

Answer:

15.6

Step-by-step explanation:

We can take this equilateral triangle and split it in half to form a 30-60-90 triangle. This will have base of 3, and height of 3[tex]\sqrt{3}[/tex]. The area of this is

1/2 ( 3 )( 3[tex]\sqrt{3}[/tex] ), but the 1/2 cancels since we have 2 halves of the triangle, and so the area is 9.

[tex]\sqrt{3}[/tex] is approx. 1.732, so multiplying this by 9, our answer is 15.6

Answer:

15.6 inches squared.

Step-by-step explanation:

According to the diagram below, the formula for the area of an equilateral triangle is the square root of 3 times the side length squared divided by 4.

The side length is 6. So, the area of the triangle is...

[tex]\frac{\sqrt{3} * 6^2}{4}[/tex]

= [tex]\frac{6^2 * \sqrt{3}}{4}[/tex]

= [tex]\frac{36\sqrt{3}}{4}[/tex]

= [tex]9\sqrt{3}[/tex]

= 9 * 1.732050808

= 15.58845727, which is about 15.6 inches squared.

Hope this helps!

Answer:

a. he earn 14578.00 in that month.

Area of square = Side × Side

⇛Area = 120 cm × 120 cm

⇛Area = 14400 cm²

Hence , the area of square is 14400 cm²

Answer:

14400

Step-by-step explanation:

Area for square formula: B × H

Since a square has equal sides for each side, you will multiply 120 by itself.

120 × 120 = 14400

The area of the square is 14400.

Hope this helped.

Answer:

Jake ran 10 1/6 miles in total

Step-by-step explanation:

4 1/4 + 2 2/3 - (4 1/4-1).

                  v

6 11/12 + 3 1/4

          v

6 11/12 + 3 3/12 = 10 1/6

Jake ran 10 1/6 miles in total (Mon, Tues, Wed).

Answer:

61/6 or 10.1666666667

Step-by-step explanation:

Monday = 4  1/4

Tuesday = 2  2/3

Wednesday = Monday - 1

=> Monday = 17/4 miles

=> Tuesday = 8/3 miles

=> Wednesday = 17/4 - 4/4 = 13/4 miles.

=> (17/4 + 13/4) + 8/3

=> 30/4 + 8/3

=> Take the LCM of the denominators.

=> LCM = 12

=> 90/12 + 32/12

=> 122/12

SImplify 122/12

=> 61/6 or 10.1666666667

Answer:

y=3

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

5a + 18 < -27

5a < -45

a < -9

Graph C matches the solution set of this inequality.

Answer:

28 degrees

Step-by-step explanation:

there is a square in the corner which means it is a right angle, 90 degrees.

90-62=28

Answer:

28 deggrees

Step-by-step explanation

Answer:

45. -7.1, -7 1/7

46. 3.7

Step-by-step explanation:

45. y < -7

Answer: -7.1, -7 1/7

46.

z > 3 2/3

Answer: 3.7

Answer:

4

Step-by-step explanation:

Func 2 is -2

Func 3 is 1

Func 4 is 8

Func 1 is unknown

Answer:

Enterprises usually adopt some quality practices to control the product quality during the manufacturing process in order to assure the delivery of qualitative good products to customers. The quality practices or quality management systems adopted by industries will further evolve due to the changes of quality concepts as time goes by. This chapter discusses the change of quality concepts and the related revolution of quality management systems in the past century. The quality concepts were gradually changed from the achievement of quality standards, satisfaction of customer needs, and expectations to customer delight. Since merely satisfying customers is not enough to ensure customer loyalty, the enterprises gradually focus on customers’ emotional responses and their delight in order to pursue their loyalty. The emotion of “delight” is composed of “joy” and “surprise,” which can be achieved as the customers’ latent requirements are satisfied. Thus, the concept of “customer delight” and the means to provide the innovative quality so as to meet the unsatisfied customers’ latent needs are elaborated on. Finally, a framework of innovation creation is developed that is based on the mining of customer's latent requirements. This outline will manifest the essential elements of the related operation steps.

Answer:

8 salt water

7 fresh water

Step-by-step explanation:

Let's represent salt water fish with the variable "s" and fresh water fish with the variable "f".

We can make a system of equations - one equation for the number of fish and the other for the price of the fish.

We know that the total number of fish Laura has is 15, and the total price of the fish was $23.

Solve the system of equations by subtracting the bottom equation from the top equation.

Laura bought 8 salt water fish. Since the total number of fish is 15, the number of fresh water fish must be 7.

Answer:

8  

7

Step-by-step explanation:

Let the number of fresh water be: - x

Number of salt fishes be 15 - x

x + 2 (15 - x) = 23

x + 30 - 2x = 23

x = 7

Number of fresh water fish bought: -7

Number of salt water fish bought by: -15 -7 = 8

Answer:

guys its 8cm its the most logic answer because 8x 4 is 32, correct me if im wrong

Step-by-step explanation:

Answer:

10.7

Step-by-step explanation:

Let x be the missing side.

The rectangles are similar. Wich means:

● 8/9 = x/12

Cross multiply

● 9x = 8×12

● 9x = 96

Divide both sides by 9

● 9x/9 = 96/9

● x = 10.666

Round it to the nearest unit

● x = 10.7

[tex]\\ \rm\Rrightarrow -30=5(x+1)[/tex]

[tex]\\ \rm\Rrightarrow -30=5x+5[/tex]

[tex]\\ \rm\Rrightarrow 5x=-30-5[/tex]

[tex]\\ \rm\Rrightarrow 5x=-35[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{-35}{-5}[/tex]

[tex]\\ \rm\Rrightarrow x=7[/tex]

Answer:

x = -7

Step-by-step explanation:

-30 = 5 (x -1 )

5 ( x + 1 ) =-30

5 (x + 1 ) = - 30

     5            5

x + 1 = -6

x + 1 -1 = -6 -1

x = - 7

Answer:

0

Step-by-step explanation:

It is not possible to roll a number greater than 6 on a number cube

A probability of 0 means "impossible". This is because a standard number cube (aka a die) has sides labeled 1 through 6. There is no way to roll something larger than 6 on a single die.

Answer:

volume = x(x+2)(2x+1) = 2x^3+5x^2+2x

a = 2

b = 3

c = 5

d = 2

e = 2

f = 1

Step-by-step explanation:

[tex] \frac{dy}{dx} = \frac{1}{ {(6 - 3x)}^{4} } \times {4(6 - 3x)}^{3} ( - 3) \\ = \frac{ - 12 {(6 - 3x)}^{3} }{ {(6 - 3x)}^{4} } \\ = - \frac{12}{6 - 3x} [/tex]

I hope I'm correct. I've never learnt differentiation for log and exponents before

Answer:

its d  

Step-by-step explanation:

6h + 7t should be less than or equal to 50 because that is all the money he has to spend

Answer:

Inequality 2 is incorrect; it should be 6h + 7t ≤ 50.

Step-by-step explanation:

Inequality 1: h + t > 8  this is correct we need more than 8 lbs of meat

Inequality 2: 6h + 7t ≥ 50

This is incorrect.  This states he must spend 50 or more dollars

6h + 7t ≤ 50

This is 50 or less dollars being spent

First of all u will 9x^2-24xy+16y^2-12×16y-12=0 u will add the 9x^ then u will subtract 2-24

Answer:36

Step-by-step explanation:

gcd(475-7,871-7)=gcd(468,864)=36

[tex]\begin{array}{c|c|c|c|c|c}&0&1&1&5&2\\468&864&468&396&72&\boxed{36}\\468&396&72&36&0\\\end{array}[/tex]

Answer:

360 in.

Step-by-step explanation:

In order to get this answer, you have to multiply 5 and 8 by 3 because the drawing is 1/3 of the actual flag.

5 x 3 = 15

8 x 3 = 24

So, 24 x 15 = 360 in.

Hope this helps! :)

Answer:

40

Step-by-step explanation:

The first box is 2--> 16*3 divided by 24= 2

Second box is 40--> 5*24 divided by 3= 40

Hope it helps.