using the difference in perfect squares completely factor the binomial x^2-121

Answer:

x=-7 has a multiplicity of 2 and x=7 has a multiplicity of 3

Step-by-step explanation:

Answer:

(fg)(x) = x^3-4x^2-16x+64, D: All Real Numbers

Step-by-step explanation:

(fg)(x) = f(x) x g(x)

= 16-x^2(4-x)

=64-16x-4x+x^3

(fg)(x) = x^3-4x^2-16x+64

Domain is all real numbers because you can substitute any real number for x and the function would still work.

Thus the value of [tex](fg)(x) = x^3 -4x^2 -16x -64[/tex] , and the domain is a set of real numbers.

The domain is a set of all real numbers because by substituting any value in the equation we only get real numbers.

The function is defined as a relationship between two variables a dependent and an independent variable. A function consists of a domain and a co-domain.  The set of codomains is called a range.

      Example : [tex]f(x) = 4x+ 3[/tex]

All those values of a set for which a function is defined are called a domain.

According to the question :

[tex]f(x) = 16 - x^2\\ g(x) = 4 - x.[/tex]

[tex](fg)(x) = (16- x^2) (4-x)\\(fg)(x) = [16(4-x) -x^2(4- x)]\\\(fg)(x) = [64- 16x -4x^2+x^3]\\(fg)(x) = x^3 -4x^2 -16 x -64[/tex]

Thus the value of [tex](fg)(x) = x^3 -4x^2-16x-64.[/tex]

Learn more about function here :

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# SPJ2

Answer:

1/16 or 0.0625

Step-by-step explanation:

we can take 4 outside the parentheses and we would get 4^(4-7+1)=4^(-2)= 1/(4^2)=1/16=0.0625.

Answer:

0.0625

Step-by-step explanation:

[tex]4^{4}[/tex] ( [tex]4^{-7}[/tex] ) (4)

First lets deal with 4^4 which is 256 (4 * 4 * 4 * 4)

256 ( [tex]4^{-7}[/tex] ) (4 )

Then 4^-7 which is [tex]\frac{1}{16384}[/tex] ( this is because when 4^-7 is simplified it becomes 1/4^7 which is 1/16384.

256 ( [tex]\frac{1}{16384}[/tex]) (4)

256 * [tex]\frac{1}{16384}[/tex] * 4= 0.0625

HOPE THIS HELPED

Answer:

132 ft per second

Step-by-step explanation:

180 miles in 2 hours

180 miles = 950400 ft.

2 hours = 7,200 secs.

950400 ft in 7,200 secs

[tex] {2}^{m + n} [/tex]

Step-by-step explanation:

[tex] \huge {2}^{m} . {2}^{n} = {2}^{m + n} [/tex]

Answer:

2^m•2^n would be the same as 4mn.

Step-by-step explanation:

Hey there!

[tex]Answer:\boxed{2x-28}[/tex]

[tex]Explanation:[/tex]

[tex]2x-30+2[/tex]

Let's start off by simplifying.

[tex]2x+-30+2[/tex]

Now let's combine like terms.

[tex]2x+-30+2\\(2x)+(-30+2)\\2x+-28\\2x-28[/tex]

[tex]\boxed{2x-28}\text{ is your answer.}[/tex]

Hope this helps!

[tex]\text{-TestedHyperr}[/tex]

Answer:

x = 2 because 5 times 2 = 10 and 10 - 2 = 8

Step-by-step explanation:

Answer:

0.15

Step-by-step explanation:

Answer:

24 =w

Step-by-step explanation:

1000 ^8 = 10 ^w

Rewriting 1000 as 10 ^3

10^3 ^8 = 10 ^w

We know a^b^c = a ^(b*c)

10 ^24 = 10^w

24 =w

Answer:

Step-by-step explanation:

Hey There!! ~ （。＾▽＾）

The answer to this is: [tex](- 2, - 7)[/tex]

Explanation: [tex]3x^{2} + 12x 5[/tex]

[tex]y = 3( x + 2)^{2} - 7[/tex]

  [tex]3( x + 2) ^{2} - 7[/tex]

[tex]a = 3[/tex]

[tex]h = 2 \ - 7[/tex]

[tex]k = - 7[/tex]

Hope It Helped!~

Good Luck With Your Assignment~

Answer:

i think this is it

Step-by-step explanation:

Answer:

c= (f-d)/ab

Step-by-step explanation:

Answer:

x= 5

Step-by-step explanation:

48 = 4x – 2 + 6x

Combine like terms

48 = 10x-2

Add 2 to each side

48+2 = 10x-2+2

50 = 10x

Divide by 10

50/10 = 10x/10

5 =x

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 5}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{48 = 4x - 2 + 6x}[/tex]

Collect like terms

[tex] \longrightarrow{ \sf{48 = 10x - 2}}[/tex]

Swap the sides of the equation

[tex] \longrightarrow{ \sf{10x - 2 = 48}}[/tex]

Move 2 to right hand side and change it's sign

[tex] \longrightarrow{ \sf{10x = 48 + 2}}[/tex]

Add the numbers: 48 and 2

[tex] \longrightarrow {\sf{10x = 50 }}[/tex]

Divide both sides by 10

[tex] \longrightarrow{ \sf{ \frac{10x}{10} = \frac{50}{10}}} [/tex]

Calculate

[tex] \longrightarrow{ \sf{x = 5}}[/tex]

Hope I helped!

Best regards! :D

Answer:

1 and 4, 2 and 3, and 5 and 0.

Step-by-step explanation:

Counters are used by educators to teach children how to do calculations like addition, subtraction, multiplication and division. Using color counters help to visualise the result from the operands in a calculation.

To get the pairs of numbers that adds to 5.

- Use the first color counter to mark out the five ones on the sheet.

- then with the second color counter, subtract one from the five ones.

- repeat the first two steps and increment the subtracted value until it gets to five.

Answer:

[tex]x=3/2=1.5[/tex]

Step-by-step explanation:

So we have the equation:

[tex]49=7^{2x-1}[/tex]

Note that 49 is the same as 7 squared. Thus:

[tex](7)^2=(7)^{2x-1}[/tex]

Since they now have the same base, the exponents must be equal to each other. So:

[tex]2=2x-1[/tex]

Add 1 to both sides:

[tex]3=2x[/tex]

Divide both sides by 2:

[tex]x=3/2=1.5[/tex]

And we're done!

Answer:

They will be able to have their break together in 60 minutes.

Step-by-step explanation:

You will have to find the least common multiple (LCM) between 20 and 30.

The prime factorization of 20 is: 2 x 2 x 5

The prime factorization of 30 is: 2 x 3 x 5

Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(20,20) = 60

Answer:

5

Step-by-step explanation:

Answer:

8.33333333333

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

First, find the probability of choosing the red pen:

There are 6 total pens and 3 are red, so the probability will be 3/6

This can be simplified to 1/2

Then, find the probability of choosing a blue pen after not replacing the red one:

There are 5 total pens now, since we did not replace the red one.

There is only 1 blue pen, so the probability is 1/5

Then, multiply these 2 probabilities together:

1/2(1/5)

= 1/10

So, the probability is 1/10

Answer:

Converse- If q, then p. Contrapositive- If not p, then not q

Step-by-step explanation:

Let's say your conditional is if an angle is 90 degrees then it is a right angle.

Then the converse is, if an angle is a right angle then it is 90 degrees.

Finally, the contrapositive is if an angle is not 90 degrees then it is not a right angle.

Answer:

[tex]n=1[/tex]

Step-by-step explanation:

[tex]8n - 5 = -2n + 5[/tex]

First, add 5 to both sides.

[tex]8n-5+5=-2n+5+5\\[/tex]

[tex]8n=-2n+10[/tex]

Then, add 2n to both sides.

[tex]8n+2n=-2n+10+2n[/tex]

[tex]10n=10[/tex]

Finally, divide both sides by 10.

[tex]\frac{10n}{10}=\frac{10}{10}[/tex]

[tex]n=1[/tex].

Answer:

[tex]n=1[/tex]

Step-by-step explanation:

So we have the equation:

[tex]8n-5=-2n+5[/tex]

First, add 2n to both sides. The right side cancels:

[tex]10n-5=5[/tex]

Add 5 to both sides:

[tex]10n=10[/tex]

Now, divide both sides by 7:

[tex]n=1[/tex]

And we're done!

Answer:

(1;3)

Step-by-step explanation:

midpoint=(x1+x2;y1+y2)÷2

=(-2+4;-3+9)÷2

=(2;6)÷2

=(1;3)

Answer:

No

Step-by-step explanation:

Times the numerator and denominator by 2. 6 does turn into 12, but 9 doesn't turn into 16. Therefore, these fractions are not equivalent.

Answer:

12x+17

Step-by-step explanation:

3(4x+5)+2

12x+15+2

12x+17

ANSWER:

12x+17=y

Step-by-step explanation:

12x+15+2

12x+17

Answer:

The correct answer is x = 17.

Step-by-step explanation:

If EF bisects DEG, this means that angles DEF and angles FEG are congruent, and they each make up half of angle DEG.

Therefore, we can set up the equation:

DEF + FEG = DEG

However, since we know that DEF and FEG represent the same value, we can change this equation into the following:

2(DEF) = DEG

Now, we can substitute in the expressions that we are given:

2(3x+1) = 5x + 19

To simplify, we should first use the distributive property on the left side of the equation.

6x + 2 = 5x + 19

Our next step is to subtract 5x from both sides of the equation.

x + 2 = 19

Finally, we can subtract 2 from both sides of the equation to get x by itself on the left side.

x = 17

Therefore, the value of x is 17.

Hope this helps!

Answer:

There is one solution.

Step-by-step explanation:

x equals only one number which is 0 so there is one solution if there was like 0 = 0 it would be infinite if it was two different numbers, it would be no solutions.