Determine the factors of the expression x^2 - 9
a) (x - 9) (x+9)
b) (x - 3) (x+3)
c) (x - 3)^2
d) (x + 3)^2

Answers

Answer 1

Answer:

Step-by-step explanation:


The answer is B.


Use the sum-product pattern


2+3−3−9



Common factor from the two pairs


2+3−3−9x2+3x−3x−9


(+3)−3(+3)

Rewrite in factored form


(+3)−3(+3)


Solution:

(−3)(+3)

‘Hope it Helps!


Related Questions



What is the domain of f(x)= 1/x-2 +3

Answers

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This summer Andrea's family will
rent a cabin in the mountains for
two weeks. The total cost is $500.
About how much does the cabin
cost per day?

Answers

Answer:

$35

Step-by-step explanation:

500 divided by 14 which is how many days are in two weeks it solves to 35

solve the system of equations by elimination
17x-5y=4
x-5=-28

Answers

Answer:

{x = 2

{y = 6

Step-by-step explanation:


Stella has $500 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax.
• She buys a new bicycle for $402.96.
• She buys 3 bicycle reflectors for $4.56 each and a pair of bike gloves for $28.21.
• She plans to spend some or all of the money she has left to buy new biking outfits
for $65.69 each
Which inequality can be used to determine o, the maximum number of outfits Stella
can purchase while staying within her budget

Answers

Answer:

65.69o+444.85≤500

Step-by-step explanation:

About how long is the fence around the field

Answers

Answer:

can u show pictures?

Step-by-step explanation:

Help please it’s due in an hour

Answers

Answer: you need all of them??

Step-by-step explanation:

if there is a code type it in and put answer key, find a code

Which of the following is the equation for a circle with a diameter that has endpoints at (2, 10) and (10,6)?
A.(x + 6)2 + (y + 8)2 = 80
B.(x - 6)2 + (y - 3)2 = 80
C.(x + 6)2 + (y + 8)2 = 20
D(x - 6)2 + (y - 3)2 = 20

Answers

Answer:

(x - 6)² + (y - 8)² = 20

Step-by-step explanation:

Find the center, the midpoint of the ends of the diameter.

Use midpoint formula for each coordinate:

x = (2 + 10) / 2 = 12/2 = 6y = (10 + 6) / 2 = 16/2 = 8

Find the square of the radius using distance formula between points:

(2, 10) and (6, 8)[tex]r^2=(x_2-x_1)^2+(y_2-y_1)^2[/tex][tex]r^2=(6-2)^2+(8-10)^2[/tex][tex]r^2=4^2+(-2)^2=16+4 = 20[/tex]

Use the equation of circle:

(x - h)² + (y - k)² = r²

We know that (h, k) is the center (6, 8), substitute into above equation:

(x - 6)² + (y - 8)² = 20

The bag contains 20 red marbles, 30 white marbles, and 40 blu
a. What is the ratio of red to blue marbles?
b. What is the ratio of white to red marbles?
c. If one marble is drawn from the bag, what is the probability
marble will not be white?

Answers

Answer:

It would be c because you don't know what you are going to pull out off the bag .

Step-by-step explanation:

Find the area or the triangle 874 42 437

Answers

Answer:

1353

Step-by-step explanation:

LOL I ADDED THEM I dont know IF THIS IS THE RIGHT ONE.IF IT IS UR WELCOME IF ITS NOT SORRY I JUST ADDED

Express each of these statements using predicates, quantifiers, logical connectives, and mathematical operators where the domain consists of all integers.

a. The product of two negative integers is positive.
b. The average of two positive integers is positive.
c. The difference of two negative integers is not necessarily negative.
d. The absolute value of the sum of two integers does not exceed the sum of the absolute values of these integers.

Answers

a) The proposition is [tex]\alpha = \left\{ \forall \, x, y \in \mathbb{N} \land \forall \,x, y < 0\,|\,\,xyP, P = \{(x,y)\,|\,x\cdot y > 0\}\right\}[/tex]

b) The proposition is [tex]\beta = \left\{ \forall \, x, y \in \mathbb{N} \land \forall \,x, y > 0\,|\,\,xyP, P = \{(x,y)\,|\,x\cdot y > 0\}\right\}[/tex]

c) The proposition is [tex]\gamma = \left\{\exists \, x, y \in \mathbb{N}\,\land\,\exists \,x,y < 0\,|\,xyP, P = \{(x,y)\,|\, x-y > 0\} \right\}[/tex].

d) The proposition is [tex]\delta = \{\forall\,x,y \in \mathbb{N}\,|\,xP, P = \{x\,|\,x + y \le |x|+|y|\}\}[/tex].

Translation of sentences in logical metalanguage

The logical metalanguage involves the use of propositions, quantifiers, elements, predicates, logical connectives, mathematical operators and domains, which show clearly the mental scheme without any sign of subjectivity, typical in human language. Now we proceed to translate each sentence into logical metalanguage:

a) The product of two negative integers is positive.

[tex]\alpha = \left\{ \forall \, x, y \in \mathbb{N} \land \forall \,x, y < 0\,|\,\,xyP, P = \{(x,y)\,|\,x\cdot y > 0\}\right\}[/tex] (1)

b) The average of two positive integers is positive.

[tex]\beta = \left\{ \forall \, x, y \in \mathbb{N} \land \forall \,x, y > 0\,|\,\,xyP, P = \{(x,y)\,|\,x\cdot y > 0\}\right\}[/tex] (2)

c) The difference of two negative integers is not necessarily negative.

[tex]\gamma = \left\{\exists \, x, y \in \mathbb{N}\,\land\,\exists \,x,y < 0\,|\,xyP, P = \{(x,y)\,|\, x-y > 0\} \right\}[/tex] (3)

d) The absolute value of the sum of two integers does not exceed the sum of the absolute values of the integers.

[tex]\delta = \{\forall\,x,y \in \mathbb{N}\,|\,xP, P = \{x\,|\,x + y \le |x|+|y|\}\}[/tex] (4)

To learn more on propositions, we kindly invite to check this verified question: https://brainly.com/question/6709166

Tatum can hike 1 1/2 miles in 15 minutes. How far can she hike in one hour (60 minutes)?
Tatum can hike 4 miles in one hour.
Tatum can hike 3 miles in one hour.
Tatum can hike 6 miles in one hour.
Tatum can hike 4 1/2 miles in one hour.

Answers

first do 60 divided by 15 which is 4 then do 1 1/2x4 which is 6 and that’s ur answer

Tatum can hike 22 miles in 60 minutes.

Distance

The product of the velocity of the object and the time gives distance, [tex]D=v\times t[/tex].

How to find distance?

Tatum hikes [tex]\dfrac{11}{2}\text{miles}[/tex] in 15 minutes

Using the formula, [tex]D=v\times t[/tex], determine the velocity of Tatum as-

[tex]v=\dfrac{\frac{11}{2}}{15}\\=\dfrac{11}{30}\text{miles/min}[/tex]

Again, substitute the value of the velocity of Tatum and t=60 minutes to determine the distance hiked by Tatum in 60 minutes as-

[tex]d=\dfrac{11}{30}\times 60\\=22\text{miles}[/tex]

As a result, Tatum can hike 22 miles in 60 minutes.

Learn more about average velocity here: https://brainly.com/question/24739297

#SPJ2

One number is six more than the other. Their sum is 42. Find the numbers

Answers

Answer:

18 & 24

Step-by-step explanation:

18+24=42

24 is six more than 18

Write an equation for the line parallel to y =-2/3x – 7 that contains (-6, 3).

Answers

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{2}{3}}x-7\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

so, we're really looking for the equation of a line whose slope is -2/3 and passes through (-6 , 3)

[tex](\stackrel{x_1}{-6}~,~\stackrel{y_1}{3})\qquad \qquad \stackrel{slope}{m}\implies -\cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{-\cfrac{2}{3}}(x-\stackrel{x_1}{(-6)})\implies y-3=-\cfrac{2}{3}(x+6) \\\\\\ y-3=-\cfrac{2}{3}x-4\implies y=-\cfrac{2}{3}-1[/tex]

The equation for the line parallel to y =-2/3x – 7 that contains (-6, 3) is y - 3 = -2/3(x+6)

Equation of a line in parallel form

The equation of a line in point slope form is expressed as:

y - y1 = m(x-x1)

m is the slope

(x1, y1) is any point on the line

GIven the equation y =-2/3x – 7, the slope of the line is -2/3

Substitute m = -2/3 and (-6, 3) into the formula

y - 3 = -2/3(x-(-6)

y - 3 = -2/3(x+6)

Hence the equation for the line parallel to y =-2/3x – 7 that contains (-6, 3) is y - 3 = -2/3(x+6)

Learn more on equation of aline here: https://brainly.com/question/13763238

A large paper clip is 1.5 inches long. How many paper clips will it take to lay them end to end to have a total length of 45 inches?

Answers

Answer:

30

Step-by-st ep explanation:

45 / 1.5 = 30

Answer:

it should be 30

Step-by-step explanation:

i did the test

BRAINLIEST QUESTION ON PIC ⚠️

Answers

Answer:

[tex]x = 62[/tex]

Step-by-step explanation:

[tex]44 + 74 + x = 180 \\ 118 + x = 180 \\ x = 180 - 118 \\ x = 62[/tex]

Answer:

x=62

Step-by-step explanation:

We know that the angles in a triangle are equal to 180.

x+44+74=180

x+118=180

x=62

Find the y-intercept and the x-intercept of the line below. click on none of applicable. ​

Answers

Answer:

X-intercept: (4,0)

Y-intercept: (0,2)

Step-by-step explanation:

The x-intercept is where the line intersects with the x-axis. The y-intercept is where the line intersects with the y-axis.

As you can see, the line goes through the y-axis at (0,2) and the x-axis at (4,0).

Therefore, the x-intercept is (4,0) and the y-intercept is (0,2).

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

Y-Intercept = 2
X-Intercept = 4

Step-by-step explanation:

The y-intercept is the point where your line has an x-value of 0. Here, where that is, is the point (0,2) (x,y)

The x-intercept is the point where your line has a y-value of 0. Here, where that is, is the point (4,0) (x,y)

help me with differentation and integration please!!

Answers

Answer:

See below

Step-by-step explanation:

[tex]\dfrac{d}{dx} (\tan^3 x) = 3\sec^4 x - 3\sec^2 x[/tex]

Recall

[tex]\dfrac{d}{dx}\tan x=\sec^2[/tex]

Using the chain rule

[tex]\dfrac{dy}{dx}= \dfrac{dy}{du} \dfrac{du}{dx}[/tex]

such that [tex]u = \tan x[/tex]

we can get a general formulation for

[tex]y = \tan^n x[/tex]

Considering the power rule

[tex]\boxed{\dfrac{d}{dx} x^n = nx^{n-1}}[/tex]

we have

[tex]\dfrac{dy}{dx} =n u^{n-1} \sec^2 x \implies \dfrac{dy}{dx} =n \tan^{n-1} \sec^2 x[/tex]

therefore,

[tex]\dfrac{d}{dx}\tan^3 x=3\tan^2x \sec^2x[/tex]

Now, once

[tex]\sec^2 x - 1= \tan^2x[/tex]

we have

[tex]3\tan^2x \sec^2x = 3(\sec^2 x - 1) \sec^2x = 3\sec^4x-3\sec^2x[/tex]

Hence, we showed

[tex]\dfrac{d}{dx} (\tan^3 x) = 3\sec^4 x - 3\sec^2 x[/tex]

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

For the integration,

[tex]$\int \sec^4 x\, dx $[/tex]

considering the previous part, we will use the identity

[tex]\boxed{\sec^2 x - 1= \tan^2x}[/tex]

thus

[tex]$\int\sec^4x\,dx=\int \sec^2 x(\tan^2x+1)\,dx = \int \sec^2 x \tan^2x+\sec^2 x\,dx$[/tex]

and

[tex]$\int \sec^2 x \tan^2x+\sec^2 x\,dx = \int \sec^2 x \tan^2x\,dx + \int \sec^2 x\,dx $[/tex]

Considering [tex]u = \tan x[/tex]

and then [tex]du=\sec^2x\ dx[/tex]

we have

[tex]$\int u^2 \, du = \dfrac{u^3}{3}+C$[/tex]

Therefore,

[tex]$\int \sec^2 x \tan^2x\,dx + \int \sec^2 x\,dx = \dfrac{\tan^3 x}{3}+\tan x + C$[/tex]

[tex]$\boxed{\int \sec^4 x\, dx = \dfrac{\tan^3 x}{3}+\tan x + C }$[/tex]

A 4-pack of envelopes costs $0.52. What is the unit price?

Answers

Answer:

0.13

Step-by-step explanation:

Question 27 of 55
Which statement about 9(2 + x) is true?
A. 9(2+ x) is a quotient.
B. 9(2 + x) is a product of two factors.
C. 9(2+ x) has two variables.
OD. 9(2+ x) is a product of three factors.

Answers

Step-by-step explanation:

9(2+x) is a quotient.......

X = 9-2

x = 7

81% as a fraction. no need to simplify the answer

Answers

Answer:

81/100

Step-by-step explanation:

81% is 81/100 because 81% is 81% of 100.

Answer: 81/100

Step-by-step explanation:

PLS HELP. I'll give brainlyist

Answers

Answer:

is *C*

Step-by-step explanation:

C is the results is the function

The answer is C. That’s the answer.

What is the next term in the​ sequence?

Answers

if the sequence goes on without any changes

it will be d+8a

[tex]d~~,~~d+2a~~,~~d-2a~~,~~d+4a~~,~~d-4a~~,~~\underline{d+6a}~~,~~d-6a~~,~~d+8a...[/tex]

What is the volume of this square pyramid? 384 cm³ 288 cm³ 192 cm³ 96 cm³ A square pyramid with height of eight centimeters, base length side of twelve centimeters and slant height of ten centimeters. The distance from center of base to the edge is six centimeters. The sides with lengths six, eight and ten centimeters form a right triangle.

Answers

Answer:

Its 384 cm

Step-by-step explanation:

I took the quiz

Answer:

384 cm3 I took the quiz im from k12

Step-by-step explanation:

Find the slope of the line that is parallel and perpendicular to the line through the pair of points (-2,-7) and (6,6) plss help pls

Answers

Answer:

parallel slope = [tex]\frac{13}{8}[/tex] , perpendicular = [tex]\frac{-8}{13}[/tex]

Step-by-step explanation:

to find slope, formula: [tex]\frac{y2-y1}{x2-x1}[/tex]

                                   : [tex]\frac{6--7}{6--2}[/tex]

                                   : [tex]\frac{13}{8}[/tex]

if parallel, same slope, so slope = 13/8

if perpendicular, slope = -1/n = -1/13/8 =  -8/13 is the perpendicular slope.

Write the prime factorization of 18. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).

Answers

2 * 3 * 3

I hope this helps!

Answer:

2 x 32

Step-by-step explanation:

The prime factorization of 18 with exponents is 2 × 32.

:)

Kimberly bought a hat that costs 10 dollars and a watch that costs 19 dollars. At the counter, she received a discount. If she only paid 25 dollars total, how many dollars was the discount?

Answers

Answer:

cost of hat +cost of watch -25

=10+19-25

=29-25

=4

What must be true for lines a and b to be parallel lines? Select two options.

mAngle1 = (4 x minus 10) degrees
mAngle2 = 58Degrees
x = 20
(3 x minus 1) degrees equals = (4 x minus 10) degrees
Angle1 = 58Degrees

Answers

Answer:

mAngle1 = (4 x minus 10) degrees

mAngle2 = 58Degrees

Step-by-step explanation:

Rewrite the improper fraction as a mixed number.

Answers

Answer:

1 1/3 and 3 2/5

Step-by-step explanation:

Solving a pios A car travels 323 miles in 4 hours and 45 minutes. How many miles does it travel per hour?​

Answers

Look at the picture please.

If you don’t understand my hand writing please comment.

The veterinarian weighed Taylor's new kitten, Arthur, on a defective scale. The kitten weighed 5 pounds. However, Arthur weighs exactly 5.6 pounds. What is the percent error in measurement of the defective scale to the nearest tenth?


12%


89.3%


10.7%


11%

Answers

Answer:

Step-by-step explanation:

The cat is about one pound

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