Part A: The area of a square is (9x2 − 12x + 4) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)

Part B: The area of a rectangle is (25x2 − 16y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)

Answers

Answer 1

Answer:

A. (3x-2)^2

B. 5x-4y

5x=4y

Step-by-step explanation:


Related Questions

How would you solve this problem??

Answers

Answer:

x = 14000

Step-by-step explanation:

Function representing the cost to the company,

C(x) = -27x² + 51000x + 20433

Function defining the revenue generated,

R(x) = -36x²+ 303000x

Since, Profit to the company = Revenue - Cost

                                                = R(x) - C(x)

P(x) = -36x² + 303000x - (-27x² + 51000x + 20433)

      = -36x² + 27x² + 303000x - 51000x - 20433

P(x) = -9x² + 252000x - 20433

To maximize the profit,

P'(x) = -18x + 252000 [Derivative of the function P(x)]

P'(x) = 0

-18x + 252000 = 0

18x = 252000

x = 14000

Therefore, for the maximum profit company has to produce and sell 14000 phones.

What value of x is in the solution set of 9(2x + 1) < 9x - 18?
-4
-3
-2
-1

Answers

Answer:

The only possible answer that is correct is the first one, x = -4.

Step-by-step explanation:

Simplify the given inequality as much as possible, and then substitute each of the given x values one by one to determine which is in the solution set.

9(2x + 1) < 9x - 18 becomes 18x + 9 < 9x - 18, which, if reduced by dividing all four terms by 9, becomes 2x + 1 < x - 2.

Simplifying further, we get x < - 3.  The only possible answer that is correct is the first one, x = -4.  -4 < -3 is true.

Step-by-step explanation:

9(2x + 1)<9x - 1818x + 9 < 9x - 1818x - 9x < - 18 - 99x < 27x = 27/9x = 3.

solve the system of equations y=2x-3 and y=x^2-3

Answers

I have attached some answers in the photos below hope you find them useful

Answer:

0 and 1

Step-by-step explanation:

Given :

[tex]y= 2x-3\\y=2x^{2} -3[/tex]

Now equate the both equation :

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

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

x-[tex]x^{2}[/tex]=0

x(1-x)=0

x=0

1-x=0

x=1

Therefore, x=0,1

Emma wants to give someone 5.2m every day she can donate 10k how long will it take her to donate 5.2m?

Answers

Answer:

520 days

Step-by-step explanation:

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

5.2 million = 5,200,000

10 thousand = 10,000

5,200,000 ÷ 10,000 =

= 520 days

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

Hope this helps.

Answer:

520 days

Step-by-step explanation:

thanks for the pts

✌️❤️✌️

if 24= 2f+3f+f, find f​

Answers

Answer:

6f = 24

f = 4

Step-by-step explanation:

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\textsf{24= 2f + 3f + f}\\\text{COMBINE the LIKE TERMS}\\\\\textsf{2f + 3f + f}\\\textsf{2f + 3f = \bf 5f}\\\textsf{5f + f}\\\textsf{= \bf 6f}\\\text{New equation: \textsf{6f = 24}}\\\text{DIVIDE 6 to BOTH SIDES}\\\mathsf{\dfrac{6f}{6}=\dfrac{24}{6}}\\\textsf{CANCEL out: }\mathsf{\dfrac{6}{6}}\textsf{ because that gives you 1}\\\textsf{KEEP: }\mathsf{\dfrac{24}{6}}\textsf{ because that helps solve for the f-value}\\\\\mathsf{\dfrac{24}{6}=\bf f}\\\\\\\mathsf{\dfrac{24}{6}=24\div6=\bf 4}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf f = 4}}}\huge\checkmark[/tex]

~[tex]\large\textsf{Good luck on your assignment and your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Which statements regarding the vertex of a quadratic function are true? Select all that apply.

Answers

what are the answers that you can pick from?

Answer:

the rules regarding the vertex of a quadratic function are:

the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value. In either case, the vertex is a turning point on the graph.

Hope This Helps!!!

someone PLSSS HELPPP fast plsss !!!

Answers

5a^10-2 I’m pretty sure that’s the right answer

(Find m∠RTS) m∠RTS=

Answers

Answer:

[tex]m\angle RTS=34^{\circ}[/tex]

Step-by-step explanation:

From the Isosceles Base Theorem, the two base angles of an Isosceles Triangle are equal. Therefore, [tex]m\angle RTS=m\angle TRS[/tex].

Since the sum of the interior angles of a triangle is 180 degrees, we have:

[tex]m\angle RTS +m\angle TRS+112=180,\\2\cdot m\angle RTS+112=180,\\2\cdot m\angle RTS=68,\\m\angle RTS=\boxed{34^{\circ}}[/tex]

What is Euclid's fifth postulate?

How would you rewrite Euclid’s fifth postulate so that it would be easier to understand?​

Answers

Step-by-step explanation:

espero que te ayude amigo

Change 1/3 to a decimal number (show the working)​

Answers

Answer:

0.33

Step-by-step explanation:

1/3 can also be written as 1 ÷ 3 which equals 0.33

Answer:

0.333333333

Step-by-step explanation

What is the total number of digits required in numbering the pages of a book, which has 1, 150 pages?

Answers

Answer:

3,493 digits

Step-by-step explanation:

Total pages of the book = 1,150

Page 1 - 9 = 9 digits

Page 10 - 99

= 2 * 90 pages

= 180 digits

Page 100 - 999

= 3 × 900 pages

= 2,700 digits

Page 1000 - 1,150

= 4 × 151 pages

= 604 digits

Total digits required in numbering 1,150 pages = 9 + 180 + 2,700 + 604

= 3,493 digits

Total digits required in numbering 1,150 pages = 3,493 digits

Which data type is variable 'a' as per below code?(numeric/non-numeric) Dim a as integer a=10 for grade 7 Computer

Answers

Answer:

The answer is "numeric".

Step-by-step explanation:

The Dim keyword is used in Visual Basic which is used to establish the dependent variable and other information such as the code that the variable may access the variables, computer utilizes the statement Dim. The dimensions are brief and then used to define variables. The Dim statement is placed just after sub definition only at the start of a VBA module (short for Subroutine).The variable to hold an integer value is seen in the above example.

Help me or Shrek's donkey won't get pancakes!

Answers

Answer:

A. y=x and y=x+2

Step-by-step explanation:

A.

y=x and y=x+2

The equations both match the slope and intercept of the graphed equations.

Can I have the pancakes instead of the donkey?

What is the value of x in the triangle?
45°
7
X
45°
A. 7
B. '14
C. 72
D. 7V2
2

Answers

Answer:

c

Step-by-step explanation:

the value of x can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

The triangle is an isosceles triangle

An isosceles triangle has two opposite sides. If the two angles are equal , it means the triangle is an isosceles. Thus the value of the base is also 7

7²  + 7²

49 + 49

= 98

√98 = 9.899 = 7√2

Question 2 (Essay Worth 10 points)
(03.01 MC)

Look at the rectangle and the square:

A rectangle PQRS and square LMNO are drawn side by side. The length SR of the rectangle is labeled as 12 inches, and the width QR is labeled as 6 inches. The side LM of the square is labeled as 6 inches.

Sam says that the length of diagonal SQ is two times the length of diagonal OM.

Is Sam correct? Justify your answer and show all your work. Your work should state the theorem you used to find the lengths of the diagonals.

Answers

Answer:

Sam is incorrect.

Step-by-step explanation:

Using Pythagorean Theorem, we can find the length of diagonal SQ as 13.4 (6^2 + 12^2 = c^2, 36 + 144 = c^2, sqrt(180) = c, c is approx 13.4). We can do the same for diagonal OM (6^2 + 6^2 = c^2, 36 + 36 = c^2, 72 = c^2, sqrt(72) = c, c is approx 8.5). Sam is therefore incorrect because 13.4 is not double of 8.5.

Answer:

Sam is incorrect.

Step-by-step explanation:

Sam is incorrect. By using the Pythagorean theorem, we can find out what each diagonal is equal to.

Starting with diagonal SQ...

6^2 + 12^2 

= 36 + 144

= 180

Square root of 180?

= 13.41

Diagonal OM...

6^2 + 6^2 

= 36 + 36

=  72

Square root of 72?

 = 8.48

Therefore, Sam is incorrect because 8.4 isn't half of 13.4.

Mario sells electronics at Big Box Electronics Store. He is paid a salary of $250 a week
plus 7% commission on his sales.
a) Write an equation for the line, in slope/y-intercept form, representing his weekly
earnings, E, where Sis his weekly sales. Put this answer into Blank #1.
b) Identify the slope. Put this answer into Blank #2.
c) What does the slope represent? Put this answer into Blank #3.
c) What does the E-intercept represent? Put this answer into Blank #4.
d) What were Mario's sales in the week he earned $530? Put this answer into Blank
#5.
Blank # 1
Blank # 2
Blank # 3
Blank #4
Blank # 5

Answers

Answer:

Step-by-step explanation:

E = 0.07s + 2500.07Salary per weekWhat he makes if he doesn't sell anything that week $4000

3. A student gets a grant of $10 000 a year. Assuming her grant is increased by 7% each year, what will her grant be in four years time? ​

Answers

Answer:

that's all~~~~~~~~~~~~~~~~~~

Pls answer……………………..

Answers

Answer:

Step-by-step explanation:

J and k are parallel if

angle 1 = angle 4 (vertically opposite angles)

angle 2 + angle 5 = 180 degree (being co interior angles)

angle 4 = angle 5 (being alternate interior angles)

angle 1 = angle 5 (being corresponding angles)

Answer:

2 and 5 are co - interior angles

1 and 3 are corresponding angles

1 and 4 are alternate

6 and 8 are corresponding angles

Step-by-step explanation:

Expand.
Your answer should be a polynomial in standard form.
(x - 4)(x - 6) =

Answers

Answer:

x^2 - 10x + 24

Step-by-step explanation:

(x - 4)(x - 6)

x(x - 6) -4(x - 6)

x^2 -6x -4x + 24

x^2 - 10x + 24

Answer:

[tex] {x}^{2} - 10x + 24[/tex]

Step-by-step explanation:

[tex](x - 4)(x - 6) \\ = x(x - 6) - 4(x - 6) \\ = {x}^{2} - 6x - 4x + 24 \\ = {x}^{2} - 10x + 24 \\ [/tex]

The equation x^2+ y^2+ 8x - 12y + 43 = 0 is the equation of a circle. Complete the square to change this
equation to standard form. Find the radius and the coordinates of the center of the circle and then graph the
circle.

Answers

Answer:

ans: centre of circle is ( -4 , 6 )

and radius is 3 unit

Use the following to write and solve a proportion to find the values of X, Y and Z. ​

Answers

Answer:

x = 48-32 = 16

y = 32/16 × 10 = 20

z = 48/32 × 26 = 39

The pH of a solution is a measure of the quantity of hydrogen atoms (H) in the solution. It is given by the formula f(x) = −log x. In the formula, x = [H+], the molar concentration of hydrogen atoms, or the number of moles of hydrogen atoms per liter of solution

Answers

The question is incomplete. The complete question is :

The pH of a solution is a measure of the quantity of hydrogen atoms (H) in the solution. It is given by the formula f(x) = −log x. In the formula, x = [H+], the molar concentration of hydrogen atoms, or the number of moles of hydrogen atoms per liter of solution

The approximate molar concentration of several chemicals are given. Find the pH of each. Use the calculator and round to the nearest tenth, if necessary.

Oven cleaner: [H+] = 10−13 pH =

Water: [H+] = 0.0000007 pH =

Blood: [H+] = 0.00000004 pH =

Vinegar: [H+] = 0.0063 pH =

Solution :

Given formula :

f(x) = −log x

Here,  x = [H+] = molar concentration of hydrogen atoms

Therefore, the pH of each of the following solution are :

Oven cleaner

[[tex]$H^+$[/tex]] = [tex]$10^{-13}$[/tex]

pH = - log [[tex]$H^+$[/tex]]

     = [tex]$- \log 10^{-13}$[/tex]

     = 13

Water

[[tex]$H^+$[/tex]] = 0.0000007

pH = - log [[tex]$H^+$[/tex]]

     = - log 0.0000007

     = 6.2

Blood

[[tex]$H^+$[/tex]] = 0.00000004

pH = - log [[tex]$H^+$[/tex]]

     = - log 0.00000004

     = 7.4

Vinegar

[[tex]$H^+$[/tex]] = 0.0063

pH = - log [[tex]$H^+$[/tex]]

    = - log  0.0063

    = 2.2

     

A line is parallel to y = 3x + 5 and intersects the point (-2 , 6). What is the equation of this parallel line?

Answers

Answer:

y = 3x + 12

Step-by-step explanation:

Slope of y = 3x + 5 is 3

Line parallel will have same slope 3

Line intersects point at (-2, 6)

Replace into y = mx + b to find

6 = 3(-2) + b

6 = -6 + b

12 = b

Equation of line:

y = 3x + 12

Answer:

y = 3x + 12

Step-by-step explanation:

Lines parallel to each other will have the same slope but different y-intercepts. This means that the equation of this parallel line has a slope of 3.

y = 3x + b

Now we need to find the y-intercept by plugging in the point (-2, 6) into the equation. (Replace x with -2 and y with 6.) Then we solve it.

y = 3x + b

6 = 3(-2) + b

6 = -6 + b

+6 +6

12 = b

The y- intercept is 12. So the equation of the parallel line is y = 3x + 12

Calculate the length of line segment XY in each triangle.

Please No Docs/No File Only real answer
25 points and a 5 star rated

Answers

Answer:

XY = 10 cm

Step-by-step explanation:

XY is a midsegment and is half the length of the 3rd side DE, that is

XY = [tex]\frac{1}{2}[/tex] DE = [tex]\frac{1}{2}[/tex] × 20 = 10 cm

De las ventas obtenidas en el mes de enero , el dueño de " La chiquita " tiene la obligación de entregar el 16 % de IVA . Si en un mes se vendieron en la tienda $80,000 ¿ Cuánto tendrá que reportar de IVA al gobierno ?

Answers

Answer:

The amount paid as VAT is $ 12800.

Step-by-step explanation:

Sales = $ 80,000

VAT = 16 %

The amount of VAT paid to the government is

= 16 % of $ 80,000

= 0.16 x $ 80,000

= $ 12800

The amount paid as VAT is $ 12800.

Kofi and Kojo were given 380 cedis to share, Kojo had 15 cedis more than Kofi. If Kofi's share is x, find an expression for Kojo's share.Hence find how much each received.

Answers

Answer:

kojo = x + 15

kofi = $182.50

kojo = $197.50

Step-by-step explanation:

kofi = x  

kojo = x + 15 (since Kojo h as 15 cedis more than Kofi)

380= x + 15 + x

2x + 15 = 380

combine like terms

2x = 380 - 15

2x = 365

x = 182.50

Kojo = 15 + 182.50 = $197.50

A food sample contains 300 bacteria. The doubling time for bacteria left at room temperature is 20 minutes. How many minutes will it take to reach an unsafe level of 100000 bacteria?

Answers

Answer:

167.6 minutes

Step-by-step explanation:

The formula is given as:

P(t) = Po × (2)^t/k

Where

P(t) = Population after time t = 100000

Po = Initial population = 300

k = Doubling time = 20 minutes

t = Time = ?

Hence:

100000 = 300 × (2)^t/20

Divide both sides by 300

100000/300 = (300 × (2)^t/20)/300

333.3 = 2^t/20

Take the In of both sides

In 333.3 = In (2^t/20)

In 333.3 = t/20 In 2

Divide both sides by In 2

In 333.3/In 2 =( t/20 In 2)/In 2

8.3806775072 = t/20

Cross Multiply

t = 8.3806775072 × 20

t = 167.61355014 minutes

Approximately = 167.6 minutes

Therefore, the time it will take to reach an unsafe level of 100000 bacteria is 167.6 minutes

When drawn in standard position, in which quadrant does the terminal side of the angle −240° lie?

Answers

Answer:

Option (2)

Step-by-step explanation:

All angles are positive when measured counterclockwise from the x-axis.

Terminal side of 240° degrees when measures counterclockwise will lie in the 3rd quadrant.

But the angle is -240°.

That means angle is being measured clockwise from the x-axis.

Therefore, terminal side of the of the angle will be in the 2nd quadrant.

Option (2) will be the correct option.

The money m (in £) Billy has to spend each week is his wage w (in £) subtract the tax t (in £) he pays on his income. Enter a formula for the money he can spend and enter how much he has to spend if he earns £150 a week and pays £42 in tax.

Answers

Answer:

m = w - t

£108

Step-by-step explanation:

m = Money Billy has to spend per week :

m = wage, w - tax, t

Hence,

m = w - t

Given;

Wage = £150 ; tax = £42

m = £150 - £42

m = £108

The problem has been started for you.


What is the quotient?
86
86.6
86.ModifyingAbove 6 with bar
87

Answers

Answer:

the third one

Step-by-step explanation:   6  22  22  24

the quotient is 86.6666666   the repeating 6 is sometimes written with a bar above the .6  like

   

86.6   except the bar is on top of the second 6

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