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

Answers

Answer 1

Step-by-step explanation:

9x2 − 12x + 4 = 18 - 12x + 4 = 22 - 12x = 2(11 - 6x)

length of 1 side = ± sqrt 2(11-6x) (rej neg value)


Related Questions

The value of a stock increases 1423 points twice in one week. The other three days the value decreases by 10 points, 813 points, and 1223 points. By how many points did the value of the stock change that week? A. 2/3 points B. 1/3 points C. −1 1/3 points D. −1 2/3 points

Answers

Answer:

Step-by-step explanation:

Remark

Usually the statements are written from your broker's and his accountant's  point of view. That being said, he looks at the numbers as a debit for a plus, and a credit as a minus. We'll assume it started out as a new purchase.

Debit                  Credit                Balance

0                                                            0

1423                                                1423

1423                                                2846                                

                              10                     2836

                            813                     2023

                          1223                       800

None of the answers match. I have done it correctly. There is no way you will get a fractional amount from those numbers. You are going to have to take it to your teacher/instructor to find out how it is done.

The factory makes boxes that each hold one candle. The boxes measure 1 inch × 1 inch × 9 inches. The factory owner makes a stack of 40 candle boxes. What is the volume of the stack?

Answers

Answer:

360 inch^3

Step-by-step explanation:

Volume of 1 box = 1 x 1 x 9 = 9 inch^3

Volume of 40 boxes = 40 x 9 = 360 inch^3

This is a topic on mensuration. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary). I'll be uploading notes on this topic soon. At the meantime, you can take a look at other topics or some tips as well!

Answer:

360 in

Step-by-step explanation:

L × W × H

1 × 1 ×9 = 9in

9 × 40 = 360 in

Evaluate: f(2) if f(x) = 4 - 2x
f(2) = 0
f(2)= 2
f(2)= 4
f(2) = 8

Answers

Answer:

f(2) = 0

Step-by-step explanation:

Evaluate: f(2) if f(x) = 4 - 2x; plug in 2 for x

f(2) = 4 - 2(2) = 4 - 4 = 0

Answer:

f(2) = 0

Step-by-step explanation:

Put 2 in the place of x,

f(2) = 4 - 2(2)

f(2) = 4 - 4

f(2) = 0

steph,andra,emily,and becca are planning a road trip from their hometown to san antonio
hometown:8,6
san antonio:-6,-7
a. if the girls take turns driving and each girl drives the same distance,at what point should they stop from emily to begin her turn as the third driver?
b.at what point does emily's turn to drive end?

Answers

Answer:

a. Emily should begin her turn as the third driver at point (1, -0.5).

b. Emily's turn to drive end at point (-2.5, -3.75).

Step-by-step explanation:

Let assume that the group of girls travels from their hometown to San Antonio in a straight line. We know that each location is, respectively:

Hometown

[tex]H(x,y) = (8,6)[/tex]

San Antonio

[tex]T(x,y) = (-6,-7)[/tex]

Then, we can determine the end of each girl's turn to drive by the following vectorial expression based on the vectorial equation of the line:

Steph

[tex]S(x,y) = H(x,y) + \frac{1}{4}\cdot [T(x,y)-H(x,y)][/tex] (1)

[tex]S(x,y) = (8,6) + \frac{1}{4}\cdot [(-6,-7)-(8,6)][/tex]

[tex]S(x,y) = (8,6) +\frac{1}{4}\cdot (-14,-13)[/tex]

[tex]S(x,y) = (4.5,2.75)[/tex]

Andra

[tex]A(x,y) = H(x,y) + \frac{2}{4}\cdot [T(x,y)-H(x,y)][/tex] (2)

[tex]A(x,y) = (8,6) + \frac{2}{4}\cdot [(-6,-7)-(8,6)][/tex]

[tex]A(x,y) = (8,6)+\frac{2}{4}\cdot (-14,-13)[/tex]

[tex]A(x,y) =(1, -0.5)[/tex]

Emily

[tex]E(x,y) = H(x,y) + \frac{3}{4}\cdot [T(x,y)-H(x,y)][/tex] (3)

[tex]E(x,y) = (8,6) + \frac{3}{4}\cdot [(-6,-7)-(8,6)][/tex]

[tex]E(x,y) = (8,6)+\frac{3}{4}\cdot (-14,-13)[/tex]

[tex]E(x,y) = (-2.5, -3.75)[/tex]

a. If the girls take turns driving and each girl drives the same distance, at what point should they stop from Emily to begin her turn as the third driver?

Emily's beginning point is the Andra's stop point, that is, [tex]A(x,y) =(1, -0.5)[/tex].

Emily should begin her turn as the third driver at point (1, -0.5).

b. At what point does Emily's turn to drive end?

Emily's turn to drive end at point (-2.5, -3.75).

Write 321.35 in scientific form.​

Answers

Answer:

3.2135 x 10^2 if you're looking for scientific notation

Step-by-step explanation:

the pyramid shown has a rectangular base and faces that are isosceles triangles find the total surface area to the nearest tenth

Answers

I think d is the correct answer

Answer:

I think is C.

Step-by-step explanation:

I'm so sorry if wrong!

Two neighbors in a rural area want to know the distance between their homes in miles. What should the neighbors use as a conversion factor to convert this distance to miles ?

Answers

Answer:

1 foot = 0.000189394 miles

Step-by-step explanation:

The two neighbors in the rural community could measure the distance between their homes first in feet. So that the value in feet can now be converted to miles by multiplying it by 0.000189394.

Since,

1 foot = 0.000189394 miles

Let us assume that the distance between the two houses is 500 feet, then;

1 foot = 0.000189394 miles

500 feet = x miles

x = 500 x 0.000189394

  = 0.094697

So that for the considered example, the distance is approximately 0.095 miles.

Thus, the required conversion factor is;

1 foot = 0.000189394 miles

2 pts
Question 3
Select all parts from the expression above that represents a constant term.
-4.9
-4.9t?
1.8
22
22t

Which ones are constant terms pls help

Answers

Constant terms are the terms in the expression that only contain numbers. No variable next to it.



So the constant terms here are: -4.9, 1.8, and 22.



Mark as Brainliest if it helped! :)

What is the Z-score for Paula if she got 1400 on the SAT, the mean was 1100 and the standard deviation was 275? step by step how to get +1.09

get marked the brainliest

Answers

mu = 1100 = population mean

sigma = 275 = population standard deviation

x = 1400 = raw score

z = z score

z = (x-mu)/sigma

z = (1400-1100)/(275)

z = 300/275

z = 1.0909090909091 approximately

z = 1.09

Convention is to round to two decimal places so that you can use a Z table to look up the area under the curve (which helps determine probability).

The positive z score is due to Paula's raw score being above the mean.

What is the answer???????????????????????????????/

Answers

Answer:

Step-by-step explanation:

b

A bag of candy contained the flavors strawberry, orange, cherry, and lemon. Zelda drew each
piece of candy out of the bag and recorded the frequency of each.
Which candy's experimental probability is closest to its theoretical probability?

Answers

Answer: Strawberry

Step-by-step explanation: Strawberry has the highest candies so it has the highest chance of being pulled out.

PLEASE HURRY ILL GIVE BRAINLEST AND 50 POINTS FOR THE CORRECT ANSWER ASAP

Answers

Answer:

m∠W is 28°

m∠X is 24°

Step-by-step explanation:

In any triangle, the measure of an exterior angle at one vertex of a triangle equals the sum of the measures of the two interior angles opposite to this vertex

In the given figure

∵ ∠WYZ is an exterior angle of Δ XYW at vertex Y

∵ ∠W and ∠X are the interior angles of Δ XYW opposite to the vertex Y

→ Use the fact above

m∠WYZ = m∠X + m∠W

∵ m∠WYZ = 52°

∵ m∠X = 3y°

∵ m∠W = (4y - 4)°

→ Substitute them in the equation above

52 = 3y + 4y - 4

→ Add the like terms

∴ 52 = 7y - 4

→ Add 4 to both sides

∵ 52 + 4 = 7y - 4 + 4

∴ 56 = 7y

→ Divide both sides by 7

∵ [tex]\frac{56}{7}[/tex] = [tex]\frac{7y}{y}[/tex]

8 = y

→ Substitute y in the measures of ∠X and ∠W

∵ m∠X = 3(8)

m∠X = 24°

∵ m∠W = 4(8) - 4 = 32 - 4

m∠W = 28°

x^2+1=0
What are the roots of this equation?
Thanks!

Answers

x² + 1 = 0

=> (x+1)² - 2x = 0

=> x+1 = √(2x)

or x - √(2x) + 1 = 0

Now take y=√x

So, the equation changes to

y² - y√2 + 1 = 0

By quadratic formula, we get:-

y = [√2 ± √(2–4)]/2

or √x = (√2 ± i√2)/2 or (1 ± i)/√2 [by cancelling the √2 in numerator and denominator and ‘i' is a imaginary number with value √(-1)]

or x = [(1 ± i)²]/2

So roots are [(1+i)²]/2 and [(1 - i)²]/2

Thus we got two roots but in complex plane. If you put this values in the formula for formation of quadratic equation, that is x²+(a+b)x - ab where a and b are roots of the equation, you will get the equation

x² + 1 = 0 back again
So it’s x=1 or x=-1

this is the answer for this question

The ratio of BMX bikes in a sporting goods store to mountain bikes is 3 to 2 . The store has 90 BMX bikes . How many mountain bikes does the store have ?

Answers

Answer: 60

Step-by-step explanation:

From the question, we are informed that the ratio of BMX bikes in a sporting goods store to mountain bikes is 3 to 2 and that the store has 90 BMX bikes .

To calculate the number of mountain bikes that the store has goes thus:

= 2/3 × 90

= 2 × 30

= 60 mountain bikes

Factoring Polynomials Completely Step by step

Answers

Answer:

x(x-8)(x+8)

Step-by-step explanation:

it ends with a negative 64 and the only one that also end with that would be C because -8×8 = 64

Solve for x. Round answer to the nearest tenth, if necessary

Answers

Answer:

x=15

Step-by-step explanation:

9²+12²=c²

81+144=c²

225=c²

√225=√c

15=c

The measure of the x is 15.

Given

The length of the base is 9 and the perpendicular is 12.

What is the Pythagoras theorem?

Pythagoras theorem states that the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

The length of the hypotenuse is x.

Therefore,

[tex]\rm (Hypotenuse )^2= (Base)^2+ (Perpendicular)^2\\\\(x)^2=(9)^2+(12)^2\\\\144+81=x^2\\\\x^2 = 144+81\\\\x^2=225\\\\x=15[/tex]

Hence, the measure of the x is 15.

To know more about Pythagoras theorem click the link given below.

https://brainly.com/question/343682

The cards in Kaylens' hand had a value of 2.75, but then he added five (-1.5)
cards to his hand. What is the new value of the cards in his hand?

Answers

Answer:

1.25

Step-by-step explanation:

adding a positive to a negative it would go down to 1.25

Please help me im new to the site. A soda company had sales of $35,119 million in 2010 and $45,962 million in 2014. Use the Midpoint Formula to estimate the sales in 2012. Assume that the sales followed a linear pattern.

Answers

Answer:40533.5

Step-by-step explanation:

Midpoint formula

(35113, 2010) > (X1, Y1)

(45954, 2014) > (X2, Y2)

Plug it into the midpoint formula

You know the measure of the exterior angle which forms a linear pair with the vertex angle. Describe two ways you can find measures of the interior angles of the triangle.

Answers

Answer:

Step-by-step explanation:

A linear pair are two given angles whose sum is equal to [tex]180^{o}[/tex].

Let the exterior angle be represented by [tex]x^{o}[/tex], and the three interior angles of the triangle be represented by [tex]a^{o}[/tex], [tex]b^{o}[/tex] and [tex]c^{o}[/tex].

Assume that the vertex angle [tex]c^{o}[/tex] is the linear pair to the exterior angle [tex]x^{o}[/tex].

i.e            [tex]x^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex]  (sum of angles on a straight line)

Thus,

i. [tex]a^{o}[/tex] +  [tex]b^{o}[/tex] = [tex]x^{o}[/tex]  (sum of two opposite interior angles is equal to an exterior angle)

⇒ [tex]a^{o}[/tex]  = [tex]x^{o}[/tex] - [tex]b^{o}[/tex]

Also,

[tex]b^{o}[/tex]  = [tex]x^{o}[/tex] - [tex]a^{o}[/tex]

But,

[tex]a^{o}[/tex] + [tex]b^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex]   (sum of angles in a triangle)

⇒ [tex]c^{o}[/tex] = [tex]180^{o}[/tex] - ([tex]a^{o}[/tex] +  [tex]b^{o}[/tex])

and

[tex]a^{o}[/tex] + [tex]b^{o}[/tex] = [tex]180^{o}[/tex] - [tex]c^{o}[/tex]

ii. [tex]a^{o}[/tex] + [tex]b^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex]   (sum of angles in a triangle)

[tex]a^{o}[/tex] = [tex]180^{o}[/tex] - ([tex]b^{o}[/tex] + [tex]c^{o}[/tex])

Also,

[tex]a^{o}[/tex] +  [tex]b^{o}[/tex] = [tex]x^{o}[/tex]

⇒ [tex]b^{o}[/tex] = [tex]x^{o}[/tex] - [tex]a^{o}[/tex]

[tex]c^{o}[/tex] = [tex]180^{o}[/tex] - [tex]x^{o}[/tex]

la expresión que se muestra abajo re presenta la utilidad en la producción de una nueva libreta profesional ,¿para que el valor positivo "X" la utilidad resulta igual a cero?
a)10
b)10/9
c)770/9
d)670/9
ayúdenme porfavor​

Answers

Answer: a) 10

Step-by-step explanation:

Buscando en google, encuentro que la expresión es:

C(x) = 9*x^2 - 80*x - 100

Queremos encontrar el valor de x (positivo), tal que esa expresión sea igual a cero, entonces tenemos que resolver:

9*x^2 - 80*x - 100 = 0.

Para ello podemos recordar la ecuación de Bhaskara, que para una ecuación de la forma:

a*x^2 + b*x + c = 0

Las soluciones son:

[tex]x = \frac{-b +-\sqrt{b^2 - 4*a*c} }{2a}[/tex]

en este caso, tenemos:

a = 9

b = -80

c = -100

Entoces, las soluciones van a ser:

[tex]x = \frac{-(-80) +- \sqrt{(-80)^2 - 4*9*(-100)} }{2*9} = \frac{80 +- 100}{18}[/tex]

Entonces las dos soluciones son:

x = (80 - 100)/18 = -20/18 = -10/9

Esta solución la descartamos, pues es negativa. La otra solución es:

x = (80 + 100)/18 = 180/18 = 10

La opción correcta es a: 10

what fraction is not equivalent to 9/12 A. 16/24 B. 15/20 C. 6/8 D. 24/32​

Answers

Answer:

the answer is d

Step-by-step explanation:

Answer:

The answer is A.

Step-by-step explanation:

The simplified answer is 3/4. A simplifies to 2/3. B simplifies to 3/4. C simplifies to 3/4. D simplifies to 3/4. To get my answer I divided  all of the fractions and saw which ones equalled .75 .

shaun had a collection of 840 matchbox vehicles. of these vehicles, 15% are four wheelers and 30% are convertibles. the rest are fast cars. how many fast cars are shaun matchbox box.​

Answers

Answer:

462 fast cars please mark brainliest

Step-by-step explanation:

I need help ASAP
3k+30=95+k+2k-5

Answers

Answer:

Step-by-step explanation:

3k+30=95+k+2k-5

3k+30=100+3k

  -30   -30

3k=70+3k

-3k          -3k

k=70

descending order 20,-30,4,0,-3,10​

Answers

20,10,4,0,-3,-30 is the answer in descending order

Answer:

20,10,4,0,-3,-30

Step-by-step explanation:

can someone help me please? the last point of the first graph ends on 6 ​

Answers

Answer:

a) Yes

b) for reference, draw the line y = x, and reflect it over that, this reflection will be your inverse. Or switch the x and y values of each point of the function.

Here is a photo of the original function in black, it's inverse in red, and the line of reflection y = x in blue:

c) No, because it fails the vertical line test, when you draw a vertical line across the inverse function, it hits it more than once.

d) Domain of the original function: -6 ≤ x ≤ 6 ; x(the domain) is greater than or equal to -6 and less than or equal to 6.

e) Domain of inverse function: 0 ≤ x ≤ 4 ; x(the domain) is greater than or equal to 0 and less than or equal to 4.

f) Range of the original function: 0 ≤ y ≤ 4 ; y(the range) is greater than or equal to 0 and less than or equal to 4.

e2) Range of the inverse function: -6 ≤ y ≤ 6 ; y(the range) is greater than or equal to -6 and less than or equal to 6.

f2) x-intercept of original function: -6

g) y-intercept of the inverse function: -6

h) x-intercept of the inverse function: 4

i) y-intercept of the original function: 4

j) (2,2) or any point where the x, and y are the same within the function, or the point where the function intersects y = x.

A neon sign blinks every 6 minutes, and another sign blinks every 8 minutes. How often do they blink at the same time?A.Every 14 minutesb.Every 24 minutesc.Every 48 minutesd.Every 2 minutes

Answers

Answer:

b. Every 24 minutes

Step-by-step explanation:

A neon sign blinks every 6 minutes, and another sign blinks every 8 minutes.

The first step is to:

Find and list multiples of each time each neon sign blinks.

This means, we find the Multiples of 6 and 8

Multiples of 6:

6, 12, 18, 24, 30, 36

Multiples of 8:

8, 16, 24, 32, 40

The first and common multiple of 6 and 8.

Therefore, the Least common multiple [LCM(6, 8) ] = 24

Hence, they often blink at the same time every 24 minutes.

Therefore, option b.Every 24 minutes is correct.

How to do this question plz answer ​

Answers

Answer:

θ= 39.7° (1 d.p.)

Step-by-step explanation:

Please see the attached picture for the full solution.

What is the value of the expression below when y = 8?
2y + 7
Answer:
Submit Answer

Answers

Answer:

23

Step-by-step explanation:

we will put 8 instead of "y" in the equation

2 x 8 + 7 = 23

2(8)+7
16+7
23
Answer= 23

Mrs. King takes out a personal loan for $10,000 at a yearly simple interest rate of 9.1%. How much total interest will she owe at the end of 6 years?

Answers

Answer:

$5,460

Step-by-step explanation:

Given that :

Loan taken = principal (p) = $10,000

Simple Interest rate (r) = 9.1% = 0.091

Interest owed at the end of 6 years = t

Simple interest = (principal * rate * time)

Interest owed = 10,000 * 0.091 * 6

Interest owed = 910 * 6

Interest owed = $5,460

- х= -у
6x - бу = 12
I need to find if it’s a substitution or elimination equation and step by step

Answers

Just by looking at this question, I say there is no solution because these two equations do not touch or meet on the xy-plane.

- х= -у.........A

6x - бу = 12.........B

Solve A for x.

-x = - y

Divide both sides by negative 1.

Doing so, we get x = y. Plug this into B.

6x - 6y = 12

6(y) - 6y = 12

The left side becomes zero.

0 = 12 is a false statement.

Answer: There is no solution to this system of

equations in two variables.

Understand?

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