Why is x^2+9 not able to be factored?

Answers

Answer 1

The expression x^2 + 9 is an algebraic expression

x^2 + 9 cannot be factored because it is not a difference of two squares

How to determine why the expression cannot be factored?

The expression is given as:

x^2 + 9

Express 9 as the square of 3

x^2 + 3^2

The above expression is not a difference of two squares

Hence, x^2 + 9 cannot be factored because it is not a difference of two squares

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Related Questions

Which of the following is most likely the next step in the series? 06 O A. OB. ОС. OD.​

Answers

The pattern is as follows…

The first group has a blue circle followed by a red circle with the first sequential number in it.
The second group has a red number with the next sequential number in it followed by a blue circle.
The third group is a repeat of the first group just with the next sequential number.
This means that the next group should by a repeat of the second group with the next sequential number. That pattern group is displayed in C.

C

63.625 rounded to the nearest tenth

Answers

Answer:

63.6

Step-by-step explanation:

63.625

63.6

Answer:

63.6

Step-by-step explanation:

The tenth's place is one after the decimal point, and since 2 is closer to zero than ten, the 6 stays the same, making the answer 63.6.

Hopefully this helps- let me know if you have any questions!

A sample of bacteria cells in a petri dish increases by 50% every hour. A scientist starts with a sample of 30 bacteria cells. Write an equation that can be used to determine the number of cells after x hours

Answers

Answer:

divide fifty out of one hundred times thirty. so x equals to fifteen hours

Scale factor word problem
Someone please help me!

Answers

1. Niles is making a map of his neighborhood. He uses a scale in which 1 cm = 5 km. The distance between his house and the school is 8.5 km.

How many centimeters will there be between his house and school on the map?

1 cm = 5km

8.5 ÷ 5 = 1.7

There will be 1.7 centimeters between his house and school.

help me pleasseeeee!!

Answers

Answer:

-35/91 is the required answer

Hope it helps

make me brainlist


What is the distance between the points (8, 12) and (1, 3)? If necessary, round
your answer to two decimal places.
O A. 130 units
B. 11.40 units
C. 12.08 units
D. 146 units

Answers

Answer:

B

Step-by-step explanation:

(8,12)=(x1, y1)

(1,3)=(X2, y2)

distance=√(x2-x1)^2+(y2-y1)^2

=√(1-8)^2+(3-12)^2

=√(49+81)

√130

=11.40

Solve: 3x - 3= x +5
please can someone solve this I will give brainiest

Answers

3x - 3= x + 5

=> 3x - x = 5 + 3

=> 2x = 8

=> x = 8/2

=> x = 4

Answer:

4

Step-by-step explanation:

3x - 3 = x+5

=> 3x = x+5+3            ( transposing method)

=> 3x-x = 5+3

=> 2x = 8

=> x = 8/2

=> x = 4

It’s kinda confusing?

Answers

I can’t see it clearly

The perimeter of a quarter circle is 10. 71 yards. What is the quarter circle's radius?

Use 3. 14 for ​

Answers

Answer:

r = 3 yds

Step-by-step explanation:

The perimeter of a quarter circle is 1/4 of a circumference of the circle AND two straight edges that are the length of the radius. see image.

The circumference is given and using 3.14 for pi, we'll then solve for r. see image.

Chloe has 4 sundaes for her friends. She has 12 8/9 ounces of sprinkles to put equally on the sundaes. How many ounces of sprinkles will be on each sundae?

Answers

Answer:

3(2/9) ounces of sprinkles each sundae (3.222222.....)

Step-by-step explanation:

12 divided into 4  = 3 ounces

(8/9)/4  is the same as  (8/9) x(1/4) = 8/36 = 2/9

3 ounces and 2/9 ounces

Each sundae will have 3 2/9 ounces of sprinkles on it.

What is the fraction?

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

Chloe has 12 8/9 ounces of sprinkles and 4 sundaes, so she will put 12 8/9 / 4 = 3 2/9 ounces of sprinkles on each sundae.

To break this down, 12 8/9 can be simplified to 12 + 8/9 = 12 + 8/9 = 12 + 4/9 = 12 4/9.

When we divide 12 4/9 by 4, we get 3 2/9.

So each sundae will have 3 2/9 ounces of sprinkles on it.

Learn more about the fraction here:

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#SPJ2

Use the volume formula to find the volume of the prism

Answers

Answer:

B. 9 cubic inches

Step-by-step explanation:

Hey there!

To find the volume of a rectangular prism, you must use the formula:

L * W * H

L is the lengthW is the widthH is the height

To find the volume we must multiply: 1.5, 4, and 1.5

Let's start!

1.5 * 4 * 1.56 * 1.59

The solution is 9 cubic inches (remember that inches * inches * inches is inches³, or cubic inches)

Volume = base area × height

Volume = ( 4 × 1 ½ ) × 1 ½

[tex]v = (4 \times \frac{3}{2} ) \times \frac{3}{2} \\ [/tex]

[tex]v = \frac{12}{2} \times \frac{3}{2} \\ [/tex]

[tex]v = \frac{36}{4} \\ [/tex]

[tex]v = 9[/tex]

Thus C is the correct option.

Have a great day ♡

A triangle has and area of 42 cm2. The height of the triangle is 14cm What is the base and length

Answers

Answer:

Step-by-step explanation:

AREA: 42 cm^2

h = 14 cm

area of a triangle formula:

[tex]\frac{height * base}{2} \\\frac{14 * base}{2} = 42[/tex]

(14)(base) = 42 * 2

(14)(base) /14 = 84 /14

base = 6 cm

Please help ASAP
I'll mark Brainliest

Answers

I got C but not sure if that is right

Lines a and b are parallel.
what is the value of x?

A) 15

B) 16

C) 56

D) 64

Answers

Answer:

56

Step-by-step explanation:

Can someone help me with this please? :)))​

Answers

Answer:

88

Step-by-step explanation:

86 is 98% of 87.755102040816 which rounded to the nearest whole number is 88.

Solve each system by substitution. Show all work.
4x + y = 0
-x - 2y =7

Answers

4x + y = 0

-x - 2y =7

with - x - 2y = 7

we have x = -2y - 7

we replace x by this value in the first one

4 * (-2y - 7) + y = 0

- 8y - 28 + y = 0

- 7y = 28

y = 28/(-7)

y = - 4

since  4x + y = 0

we have 4x + (-4) = 0

4x = 4

x = 1

(1 ; -4)

Lena got a prepaid debit card with $30 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 19 cents per yard. If after that purchase there was $27.15 left on the card, how many yards if ribbon did lena buy?

Answers

Step-by-step explanation:

To find out how much she spent:

30 - 27.15 = 2.85

Change it to cents:

2.85 x 100 = 285 cents

Calculate how many yards of ribbon she bought:

285 / 19 = 15

Therefore, she bought 15 yard of ribbon.

I need help with this please extra points for the help.

Answers

Answer:

1/3

explanation:

there are total 6 colour boxes.among which 2 are red

so probability:

2/61/3

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Number of Favorable outcomes (red)= 2

Total outcomes = 6

So, the probability of getting red is :

[tex]\qquad \sf  \dashrightarrow \: \dfrac{2}{6} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{3} [/tex]

[tex]・ .━━━━━━━†━━━━━━━━━.・[/tex]

A password is 4 characters long and must consist of 3 letters and 1 of 10 special characters. If letters can be repeated and the special character is at the end of the password, how many possibilities are there? a. 175,760 b. 456,976 c. 703,040 d. 1,679,616 Please select the best answer from the choices provided A B C D.

Answers

The number of possibilities for constructing the 4 characters long password with specified conditions is given by: Option C: 703,040

What is the rule of product in combinatorics?

If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in [tex]p \times q[/tex] ways.

Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.

Thus, doing A then B is considered same as doing B then A

We're specified that:

The password needs to be 4 characters longIt must have 3 letters and 1 of 10 special characters.Repetition is allowed.

So, each of 3 characters get 26 ways of being 1 letter. (assuming no difference is there between upper case letter and lower case letter).

And that 1 remaining character get 10 ways of being a special character.

So, by product rule, this choice (without ordering) can be done in:

[tex]26 \times 26 \times 26 \times 10 = 175760[/tex] ways.

Now, the password may look like one of those:

L, L, L, SL, L, S, LL, S, L, LS, L, L, L

where S shows presence of special character and L shows presence of letter.

Those 175760 ways are available for each of those four ways.

Thus, resultant number of ways this can be done is:

[tex]175760 \times 4 = 703040[/tex]

Thus, the number of possibilities for constructing the 4 characters long password with specified conditions is given by: Option C: 703,040

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What is the area of this figure?

Answers

Answer:

74km

Step-by-step explanation:

7 + 7  = 14

15 + 12 = 27

5 + 8 = 13

9 + 11 = 20

14 + 27 = 41

41 + 13 = 54

54 + 20 = 74

Muriel is considering leasing a car, and she is even thinking about buying it after the lease is up. She's trying to make sense of the terms of the lease before she makes her decision, but she's having a little trouble figuring it all out. The terms of the lease are as follows.
Terms:
Length of lease: 32 months
MSRP of the car: $26,260
Purchase value of the car after lease: $14,330
Down payment: $1270
Security deposit: $605
Acquisition fee: $765
Lease factor: 0.00073
Provide Muriel with some assistance by answering the following questions. 5 points: Part I - 1 point; Part II - 1 point; Part III - 1 point; Part IV - 1 point; Part V - 1 point)
What is the amount of the cash due at signing?
What would be Muriel's monthly payment? What is the total amount of money that Muriel would spend on monthly payments? What is the total cost of leasing the car, assuming that Muriel does not get the security deposit back?
What is the total price of the car if Muriel buys it after leasing, assuming that she does not get the security deposit back

Answers

The amount of cash due based on the terms of the lease that Muriel will pay is $2640.

How to calculate the cash due?

The amount of cash due is calculated thus:

= Security deposit + Acquisition fee + Down payment

= $605 + $1270 + $765

= $2640

The monthly lease payment will be:

= Depreciation + Interest

= $133 + $28.7

= $161.70

Depreciation was calculated as:

= ($24990 - $14330) / 32 = $133

Interest was calculated as:

= Capitalized cost + Residual value × Money factor

= ($24990 + $14330) × 0.00073

= $28.70

Learn more about cash on:

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Find the derivative of 30x² + 7x at x = 2.

Answers

Answer:

127

Step-by-step explanation:

Given :

30x² + 7x

On differentiating,

dy/dx = 2 * 30 * x²⁻¹ + 1 * 7 * x¹⁻¹dy/dx = 60x + 7

At x = 2

60(2) + 7120 + 7127

First differentiate

d/dx(x^n)=nx^n-1

So

[tex]\\ \rm\Rrightarrow \dfrac{d}{dx}(30x^2+7x)[/tex]

[tex]\\ \rm\Rrightarrow 60x+7[/tex]

Put x=2

60(2)+7120+7127

what if the ice caps were melting even more rapidly and san francisco was losing about 2% of its land area per year as land and streets went under water. the city is only about 49 square miles in area

Answers

The exponential function that shows San Francisco area after x years is y = 49(0.98)ˣ

What is an exponential function?

An exponential function is in the form:

y = abˣ

Where a is the initial value of y and b is the multiplication factor.

Let y represent the land area of San Francisco after x years. Hence:

The city is only about 49 square miles in area, a = 49. It is losing 2% yearly, hence b = 100% - 2% = 0.98

The equation becomes y = 49(0.98)ˣ

Find out more on exponential function at: https://brainly.com/question/12940982

PLEASE ANSWER QUICKLYY IK ITS TEDIOUS CUZ THERES A LOT BUT MATH EXPERTS, HELP

Answers

Step-by-step explanation:

i answered these 3 already.

Calculate the difference between the average rates of change of Function B and Function A from x=2 to x=4.

Answers

Answer:

-4

Step-by-step explanation:

-8/2=-4

So you do -8-2/4-2, which is the average rate formula.

A small theater had 6 rows of 24 chairs each. Workers just removed 7 of these chairs. How many chairs are left? chairs

Answers

6 x 24 = 144
144 - 7 = 137
There is 137 chairs left in the theater. Hope this helps!

Answer:

137 chairs

Step-by-step explanation:

6*24=144.

144-7=137.

please mark as brainliest.

Which graph represents the function f(x) = - |x - 2| - 1?

Answers

Answer:

nsgs6

68÷9

02_3

73929

Step-by-step explanation:

8282×627=628373

Answer:

i hope this helps you!

Step-by-step explanation:

What is the degree of 9x^3?
9x to the power of 3.

Answers

The largest exponent is the degree.


this only has one exponent so the degree would be 3

Which choice shows the graph of the solution set for the inequality p - 2 > 6?

(A

"10

"5

0

5

10

B)

10

5

0

5

10

"10

5

HHHO+++

5 10

0

*10

-5

HHHO++++

0 5 10

Answers

Answer:

p > 8

Step-by-step explanation:

p - 2 > 6

Add 2 to each side

p > 8

Which expression is equivalent to 20c - 8d

Answers

Answer:

4(5c-2d)

Step-by-step explanation:

if you mean in factorization

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