Factor the perfect square trinomial x2 - 12x + 36.

Answers

Answer 1

Answer:

(x - 6)(x - 6)

Step-by-step explanation:

-6 + -6 = -12

-6 * -6 = 36

meaning -6 in in both

if you want to find x

x = 6

Answer 2

Answer:

6

Step-by-step explanation:

x2-12x+36=0

find a two numbers that add to -12 and multiply to 36

-6 and -6

(x-6)(x-6)=0

x-6=0     x-6=0

x=6         x=6


Related Questions

im too lazy to answer my sister questions (its easy but I got something else to do) do all multiplication all way to 12

Answers

Answer:

All of the multiplications are in the image attached

Step-by-step explanation:

please mark me brainliest :)

Please mark me brainliest and I hope this helps ( I spent a lot of time on this...)!

I wrote this all out on a google doc so no, I did not copy it from the internet:

Sara is moving into a new apartment. The Resort complex charges a $600 security
deposit and costs $950 a month for rent. The Uptown Suites Duplex charges a $300
security deposit and costs $1100 a month for rent. After how many months would the
apartments cost the same amount? Which apartment would you recommend Sara move
to if she plans on staying for 6 months? Please show work.

Answers

Answer:

The rent is the same when 2 months have passed.

If she'd live in them for 6 months, I'd recommend the resort complex, since it'd be cheaper.

Step-by-step explanation:

Sara has two options, the resort complex and the uptown suites duplex, which can be represented by functions where "c" is the cost and "t" is the number of months Sara lives on each apartment.

The Resort complex:

[tex]c_{resort}(t) = 600 + 950*t[/tex]

The Uptown Suites Duplex:

[tex]c_{uptown}(t) = 300 + 1100*t[/tex]

To find the number of months she has to live in them in a way that they have the same cost, we need to find the value of t that makes both equations equal, this is done below:

[tex]600 + 950*t = 300 + 1100*t\\1100t - 950t = 600 - 300\\150t = 300\\t = \frac{300}{150} = 2\\[/tex]

The rent is the same when 2 months have passed.

If she intends to live in them for 6 months, the cost of each are:

[tex]c_{resort}(t) = 600 + 950*6 = 6300[/tex]

[tex]c_{uptown}(t) = 300 + 1100*6 = 6900[/tex]

If she'd live in them for 6 months, I'd recommend the resort complex, since it'd be cheaper.

HELP! WILL GIVE BRAINLIEST TO BEST ANSWER!!! BE VERY DETAILED PLEASE <3 Examine your selected object and the construction you made from 1.08. Which transformations (translations, reflections, or rotations) are present in the constructions?

Answers

Answer:

It's Rotated I believe

Step-by-step explanation:

What is the solution to the inequality −12>y+6

12
>
y
+
6

y<−18

y>−18

y<−6

y>−6

Answers

Answer:

y<-18

Step-by-step explanation:

randomly selecting two grape juice boxes without replacement

Answers

Step-by-step explanation:

1/2 on the first round, then 1 on the second. When you have 2 juice boxes on the first round, there is a 50/50 (reduce to 1/2) chance that you will get one or the other. But after one is chosen, there is one left, because there is no replacement, and it is guarantied that the one will be picked. 100/100 or 1.

Answer:

I am answering to this question: There are 15 cherry, 17 grape, and 14 orange juice boxes in the cooler. Find the probability of randomly selecting two grape juice boxes without replacement.

Step-by-step explanation:

136/1035

plz mark brainliest if this is the question.

Cinco amigos pidieron una pizza personal
extra grande cada uno. A continuación se
muestra la fracción de pizza que se comió
cada uno.
3
8
1
7
8
3
4
2
Encuentra la mediana de las fracciones
de pizza que se comieron.

Answers

Answer:

3/4

Step-by-step explanation:

The graph of f(x) = ax^2 opens upward and is narrower than the graph of g(x) = x^2 . Which of the following could be the value of a?

A. -0.5

B. 6

C. 0.25

D. -2

Answers

Answer:

Option C.

Step-by-step explanation:

The given functions are

[tex]f(x)=ax^2[/tex]

[tex]g(x)=x^2[/tex]

It is given that the graph of [tex]f(x)=ax^2[/tex] opens upward and is narrower than the graph of [tex]g(x)=x^2[/tex].  

Graph of [tex]f(x)=ax^2[/tex] opens upward, it means coefficient of [tex]x^2[/tex] must be positive.

Graph of [tex]f(x)=ax^2[/tex] is narrower than the graph of [tex]g(x)=x^2[/tex], it means coefficient of [tex]x^2[/tex] must lies between 0 to 1, i.e., [tex]0<|a|<1[/tex].

From the given options, only 0.25 is a positive number whose absolute value lies in between 0 to 1.

Therefore, the correct option is C.

Following are the solution to the graph function:

Given:

Graph function:

[tex]\to f(x)=ax^2\\\\\to g(x)=x^2\\\\[/tex]

Solution:

It is assumed that its graph of [tex]f(x)=ax^2[/tex] is narrower more expands upwards than the graph of [tex]g(x)=x^2[/tex].The graph of [tex]f(x)= ax^2[/tex] expands upward, suggesting that the [tex]g(x)=x^2[/tex] coefficient must be positive.Since the graph of [tex]f(x)=ax^2[/tex] is thinner than that of the graph of [tex]g(x)=x^2[/tex], it implies that the coefficient of [tex]x^2[/tex]  has to be between 0 to 1, i.e. [tex]0<|a| <1.[/tex] .Only 0.25 is a positive number with just an absolute value between 0 and 1 among the available alternatives.

Therefore, the final answer is "Option C".

Learn more about the graph:

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The ratio of the number of A's in the class to B's in the class was 2:5. How many people got A's if there were 40 people who got B's?

Answers

Answer:

16 students got an A

Step-by-step explanation:

Set up an equation to compare the ratio to the scores:

[tex]\frac{2}{5} = \frac{x}{40}[/tex]

Cross multiply:

80 = 5x

Divide each side by 5:

x = 16

Now, check if [tex]\frac{16}{40} = \frac{2}{5}[/tex]

16/8 = 2

40/8 = 5

The ratios are the same! Therefore, 16 students got an A!

Hope this helps! Feel free to contact me if you have any questions :)

[tex]Total- no- of- students = 56\\A -students = Total- no- of- students - B-students\\A - students = 56 - 40\\A students = 16[/tex]Answer:

A Students = 16 students

Step-by-step explanation:

[tex]A :B\\2 :5\\ No- of -A -students =?\\No- of -B -students = 40\\2+5 =7\\\frac{5}{7} *x = 40\\\frac{5x}{7} =40\\Cross - multiply\\280 = 5x\\Divide-both-sides-of-the-equation -by 5\\\\\frac{280}{5} = \frac{5x}{5} \\x = 56[/tex]

Use intercepts to graph the equation 2x + 7y= -14.

Answers

x-intercept(s): (-7,0)

y-intercept(s): (0,-2)

please help! 10 points! its quite easy but im lazy What is the value of x in the equation 4(2x + 14) = 0? (1 point)

Answers

Answer:

[tex]x=-7[/tex]

Step-by-step explanation:

[tex]4(2x + 14) = 0[/tex]

[tex]8x+56 = 0[/tex]

[tex]8x=-56[/tex]

[tex]x=-56 \div 8[/tex]

[tex]x=-7[/tex]

Answer:4(2x+14)=0

8x+56=0

8x=-56

x=-7

Suppose that f(5) = 1, f '(5) = 4, g(5) = −8, and g'(5) = 7. Find the following values.

Answers

I think G=50 because 5 times 10

A survey was held to find the time taken by students to reach school from their homes. Each student was asked to choose from 10, 20, 30, 40, or 50 minutes. What is the mode for the data set?
A. 30 min.
B. 10 min.
C. 20 min.
D. 40 min.
only thoughts answer's if u give a bad one no brainly

Answers

Answer:

there is no mode

Step-by-step explanation:

because there is no doubles

The required, mode of the given data set is not defined. None of the options are correct.

What is the mode?

In statistics, the mode is the value that appears most frequently in a data set. It is the most common observation or measurement in the data set. The mode is one of the measures of central tendency, along with the mean and median.

The mode is the value that appears most frequently in a data set. Since the given data set only has values of 10, 20, 30, 40, and 50, we can simply count which value appears most frequently. From the given options, the is no mode in the data, since it appears no value in the data set appears twice in the data set.

Therefore, None of the options are correct.

Learn more about the mode here:

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please help me with this. ​

Answers

Step-by-step explanation:

In a regular hexagon, split the figure into triangles.

Find the area of one triangle.

Multiply this value by six.

Alternatively, the area can be found by calculating one-half of the side length times the apothem.

Hope this helps you.

Find the sum of the first 31 terms of the following series, to the nearest integer.
5,14,23,..

Answers

Answer:

Step-by-step explanation:

5+14 is 19

19+23 is 4242

Can somebody explain to me of how squared 28 equaled 2 squared to 7 please? With step by step explanation If you don’t mind

Answers

please see the attached picture for full solution

hope it helps

good luck on your assignment

∠AED is a straight angle. Prove: m∠AEB = 45° A horizontal line has points A, E, D. 2 lines extend from point E. One line extends to point B and another extends to point C. Angle C E D is a right angle. Complete the paragraph proof. We are given that Ray E B bisects ∠AEC. From the diagram, ∠CED is a right angle, which measures degrees. Since the measure of a straight angle is 180°, the measure of angle must also be 90° by the . A bisector cuts the angle measure in half. m∠AEB is 45°.

Answers

Answer:

Proved

Step-by-step explanation:

Given:

∠AED is a straight angle. Angle CED is a right angle.  Ray EB bisects ∠AEC.

To Prove: m∠AEB = 45°

From the diagram, ∠CED is a right angle, which measures 90 degrees.

Since the measure of a straight angle is 180°, the measure of Angle AEC must also be 90° by the Linear Postulate.

A bisector cuts the angle measure in half.

Therefore m∠AEB = 45°.

Answer:

answer below.

Step-by-step explanation:

What is 3lna+lnb−lnc written as a single logarithm?

Answers

Answer: here's the answer

QUESTION 1 (3 points)
Solve the following equation. Show all work.
4x² - 5 = 76​

Answers

Answer:

[tex]x_{1} =-\frac{9}{2} \\x_{2} = \frac{9}{2}[/tex]

Step-by-step explanation:

[tex]4x^2 = 76 + 5\\4x^2 = 81\\x^2 = \frac{81}{4}\\ x = |\frac{9}{2}|[/tex]

Answer:

X = 9/2

Step-by-step explanation:

4x² - 5 = 76

4x² = 76 + 5

4x² = 81

4x² = 9²

(2x)² = 9²

2x = 9

X = 9/2

Solve |x+2|=10

A {-8,8}
B {-12,8}
C {-12,12}

Answers

The correct answer is B.

What is the third quartile of this data set 14,18,20,21,25,32,42,46,48

Answers

Answer:

40

Step-by-step explanation:

Divide the list of numbers in half.

Since there are 9 numbers (odd number), divide like this :

14, 18, 20, 21      25       32, 42, 46, 48

Find the median of the third one. 

(46 + 42)/2 = 44

So the answer is 44

Hope this helped!

please mark me brainliest :)

The range of which function includes -4?
y= Vx-5
Y=Vx+5
Y= NX + 5
Y= NX+5

Answers

[tex]option \: a \: is \: the \: right \: answer \\ y = \sqrt{x} - 5 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

The range of function y=√x+5 is -4.

What is Domain and Range?

A function's range refers to all of the potential values for y.

The formula for determining a function's range is y = f (x). If every x value corresponds to only one y value, the relation is only a function.

As, we know that the Domain is the input values and Range is the output values.

Now, we have range is -4.

First, -4 = √x - 5

-4 + 5 = √x

√x = 1

x = ±1

Second, -4 = √x+ 5

-4 -5 = √x

√x = -9

x = 81

Third, -4 = √(x + 5)

16 = x+ 5

x = 11

Fourth, -4 = √(x -5)

16 = x - 5

x = 21

So, the range of function y=√x+5 is -4.

Learn more about Range of function here:

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How many solutions does the equation 3x-10(x+2)=13-7x

Answers

Answer:

No solution

Step-by-step explanation:

1. Multiply the parenthesis by -10

2. Collect like terms

3. Cancel equal terms

4. You're left with -20=13, which is false. There is no solution.

Solve and work out the value of a

Answers

Step-by-step explanation:

Since these angles are supplementary (meaning they have a sum of 180 degrees) we get 3a + 2a + 4a = 180° which simplifies to 9a = 180 and then a = 20°

Answer:

a = 20

Step-by-step explanation:

The angles form a straight line, which is 180 degrees

3a + 2a + 4a = 180

Combine like terms

9a = 180

Divide by 9

9a/9 =180/9

a = 20

what is the area of this triangle

Answers

Answer:

Probably b or e

Step-by-step explanation:

this took me a while to answer this.

How do I find the value of x to the nearest degree?

Answers

Answer:

I don't know if it's too advanced for you but you could use the arctangent function.

[tex]tan (x)=\frac{15}{8}\\ x=tan^{-1}(\frac{15}{8} )\\x= 61.9275[/tex]

question 2 <><><><><><><><><><><>

Answers

Answer:

I deserve brainliest just as all good boys deserves fudgeeeeee

Step-by-step explanation:

v^2 = 25/81

v= the square root of 25/81 = 5/9

since that isn't a choise, don't simplify.

D works too  because negative x negative = positive

CCCCCCC

Answer:

C & D

Step-by-step explanation:

[tex]v^2=\frac{25}{81} \\v=\sqrt{\frac{25}{81}} , -\sqrt{\frac{25}{81}}[/tex]

Simplify the expression below and explain your steps. x/2=x/8

Answers

Answer:

x2-x-8=0

Step-by-step explanation:

The first term is,  x2  its coefficient is  1 .

The middle term is,  -x  its coefficient is  -1 .

The last term, "the constant", is  -8  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -8 = -8  

Step-2 : Find two factors of  -8  whose sum equals the coefficient of the middle term, which is   -1 .

     -8    +    1    =    -7  

     -4    +    2    =    -2  

     -2    +    4    =    2  

     -1    +    8    =    7  

Question 4
4.53
60
500
729
8000

Answers

4 * 5^3= 500
5^3 = 125
125 * 4 = 500
The correct answer is 500

Can I get some help with this question?

Answers

Answer:

$250

Step-by-step explanation:

200/80=2.50

2.50*100=250

Answer:

$250.

Step-by-step explanation:

By proportion the cost should be 200 * 100/80

= 200*5/4

= 50 * 5

= $250.

Which type of line is shown below

Answers

Type of lines ?  Not the best question.

Answer: Perpendicular, first choice

The little 90 degree angle indicator at the intersection marks these lines as meeting at a right angle, which is called perpendicular.

They’re showing a perpendicular line
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