The domain for f(x) and g(x) is the set of all real numbers.


Let f(x) = x2 + 1 and g(x) = 3x.


Find f − g.


A.
x2 + 3x + 1


B.
x2 + 3x


C.
3x3 + 3x + 1


D.
x2 − 3x + 1

Answer: [tex]\Large \boldsymbol{} (x-y-z+1)(x+y-z-1)[/tex]

Step-by-step explanation:

[tex]\Large \boldsymbol{} 1) \ {(a-b)^2=a^2+2ab+b^2 } \\\\2) \ {a^2-b^2=(a-b)(a+b)} \\\\\\ x^2-y^2+z^2-2xz+2y-1= \\\\\underbrace{x^2-2xz+z^2}_{(x-z)^2} -\underbrace{(y^2-2y+1)}_{(y-1)^2}= \\\\\\ (x-z)^2-(y-1)^2 =(x-y-z+1)(x+y-z-1)[/tex]

Answer:

A)  [tex](-3)^{2} \neq -9[/tex]

Step-by-step explanation:

Answer:

A) is correct

Step-by-step explanation:

(-3)**2 = 9,  not equal -9

The issue is negative numbers can only be imaginary numbers. The sq root of -9 would be 3i, where i is defined as the sq root of -1.

Answer:

continuously is the most, and what is actually done at the banks...

as for your answer:

Compounded monthly

Step-by-step explanation:

When investing money in a bank account, you will have the most money in your account at the end of three years when compounded monthly.

Compound interest is the interest you earn on interest.

[tex]A = P(1 + \frac{r}{n} )^{nt}[/tex]

Where,

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

To check in which situation we will earn the most money in end of  three years, we calculate the final amount in each situation keeping other variables constant.

Let

P = 5000

r = 5%

t = 3 years

When compounded annually,

[tex]A = 5000(1 + 0.05)^{3} = 5788.125[/tex]

When compounded semiannually,

[tex]A = 5000(1 + 0.025)^{6} = 5798.467[/tex]

When compounded quarterly,

[tex]A = 5000(1 + 0.0125)^{12} = 5803.772[/tex]

When compounded monthly,

[tex]A = 5000(1 + 0.0125)^{12} = 5807.361[/tex]

Thus, it can be said that you have the most money in your account at the end of three years when compounded monthly.

Learn more about compound interest here

https://brainly.com/question/14295570

#SPJ2

Answer:

does it want the degree????

Answer:

f(1)=4

f(-3)=4

f(5)=-2

f(0)=2

f(-1)=0

f(3)=2

Step-by-step explanation:

Pose f(x) as your x value. Now apply to the graph

Answer:

v = 25.6

Step-by-step explanation:

1. Multiply both sides of the equation by 4.

(6.4)(4) = 25.6

Answer:

the answer is C.7.2. good luck

Answer:

7.3

Step-by-step explanation:

Answer:

brackets stand for multiplication therefore this means multiply 5.9 by 1.102..

I hope this helps and sorry if it's wrong

Answer:

has been saving is the correct answer I believe

Answer:

"has been saving" is the right answer.

Answer:

There are 104 nickels and 33 quarters

Step-by-step explanation:

Start of with the equation N = 3Q + 5. q is the amt of quarters n is the nickels. Then substitute Q with 33 since that is the amount of quarters and solve the equation for the amount of nickels that there are.

Answer:

WO [tex]\sqrt{13}\ \ \ \frac{3}{2}[/tex]

OR [tex]\sqrt{13}\ \ \ - \frac{3}{2}[/tex]

RM [tex]\sqrt{13}\ \ \ \frac{3}{2}[/tex]

MW [tex]\sqrt{13}\ \ \ - \frac{3}{2}[/tex]

Step-by-step explanation:

One has to find the slope, and the distance between the successive points on the plane. Use the slope and distance formula to achieve this.

Slope formula:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Distance formula:

[tex]\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

Remember, the general format for the coordinates of a point on a Cartesian coordinate plane is the following:

[tex](x,y)[/tex]

1. WO

Coordinates of point (W): (3, -5)

Coordinates of point (O): (6, -3)

Find the slope:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{(-5)-(-3)}{(3)-(6)}=\frac{-5+3}{3-6}=\frac{-2}{-3}=\frac{2}{3}[/tex]

Find the distance:

[tex]\sqrt{((-5)-(-3))^2+((3)-(6))^2}[/tex]

[tex]\sqrt{(-2)^2+(-3)^2}\\=\sqrt{4+9}\\=\sqrt{13}\\[/tex]

2. OR

Coordinates of point (O): (6, -3)

Coordinates of point (R): (4, 0)

Find the slope:

[tex]\frac{y_2-y_1}{x_2-x_1}\\=\frac{(0)-(-3)}{(4)-(6)}=\frac{3}{-2}=-\frac{3}{2}[/tex]

Find the distance:

[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\sqrt{((0)-(-3))^2+((4)-(6))^2}=\sqrt{(3)^2+(2)^2}=\sqrt{9+4}=\sqrt{13}[/tex]

3. RM

Coordinates of point (R): (4, 0)

Coordinates of point (M): (1, -2)

Find the slope:

[tex]\frac{y_2-y_1}{x_2-x_1}\\=\frac{(0)-(-2)}{(4)-(1)}=\frac{2}{3}[/tex]

Find the distance:

[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\sqrt{((-2)-(0))^2+((1)-(4))^2}=\sqrt{(-2)^2+(-3)^2}=\sqrt{4+9}=\sqrt{13}[/tex]

4. MW

Coordinates of point (M): (1, -2)

Coordinates of point (W): (3, -5)

Find the slope:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]=\frac{(-5)-(-2)}{(3)-(1)}=\frac{-3}{2}=-\frac{3}{2}[/tex]

Find the distance:

[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]=\sqrt{((3)-(1))^2+((-5)-(-2))^2}=\sqrt{(2)^2+(3)^2}=\sqrt{4+9}=\sqrt{13}[/tex]

Answer:

D. 15/√346

Hope this helps! Have a nice day :)!

Answer:

a₁₀₀ = 697

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 4 and d = a₂ - a₁ = 11 - 4 = 7 , then

a₁₀₀ = 4 + (99 × 7) = 4 + 693 = 697

Answer:

Options (C)

Step-by-step explanation:

For the congruence of the triangles ΔADB and ΔADC,

                Statements                             Reasons

1). AB ≅ AC                                   1). Given

2). AD ≅ AD                                 2). Reflexive property

3). ∠BAD ≅ ∠CAD                       3). Given

4). ΔABD ≅ ΔCAD                       4). SAS postulate

Therefore, Options (C) will be the correct option.

Answer:

Step-by-step explanation:

I'm pretty sure its b

Answer:

E the base equation shifts to the right to five unit from the midpoint

Answer:

i'm pretty sure the answer is option C. (x^2 + 9x) = 6^2

Step-by-step explanation:

i'm not 100% sure, but i hope this helps.

Answer:

6

Step-by-step explanation:

[tex]\boxed{\sf tan\theta=\dfrac{p}{b}}[/tex]

[tex]\\ \sf\longmapsto tan\theta=\dfrac{13}{20}[/tex]

[tex]\\ \sf\longmapsto tan\theta=0.6[/tex]

[tex]\\ \sf\longmapsto tan\theta\approx\dfrac{1}{\sqrt{3}}[/tex]

[tex]\\ \sf\longmapsto tan\theta\approx tan60[/tex]

[tex]\\ \sf\longmapsto \theta\approx 60°[/tex]

A. [tex]6x^2[/tex]+-5x+14x+-35

           [tex]6x^2[/tex]+9x-35

B. [tex]5x^4+-3x^3+10x^3+-6x^2[/tex]

           [tex]5x^4+7x^3-6x^2[/tex]

C. [tex]25x^2+-20x+20x+-16[/tex]

             [tex]25x^2-16[/tex]

D. [tex]x^4+-4x^2+-7x^2+28[/tex]

           [tex]x^4-11x^2+28[/tex]

[tex]====================================[/tex]

Step-by-step explanation:

A. (3x*2x)+(3x*-5)+(7*2x)+(7*-5)

        Multiply and simplify.

                [tex]6x^2[/tex]+9x-35

B. ([tex]x^2*5x^2[/tex])+([tex]x^2*[/tex]-3x)+(2x[tex]*5x^2[/tex])+(2x[tex]*-3x[/tex])

         Multiply and simplify.

              [tex]5x^4+7x^3-6x^2[/tex]

C. [tex](5x*5x)+(5x*-4)+(4*5x)+(4*-4)[/tex]

         Multiply and simplify.

                  [tex]25x^2-16[/tex]

D. [tex](x^2*x^2)+(x^2*-4)+(-7*x^2)+(-7*-4)[/tex]

         Multiply and simplify.

                [tex]x^4-11x^2+28[/tex]

I hope this helps!

But you should really do this yourself.

Circumference of a circle = 2πr

So,

[tex]circumference = 2\pi \: r \\ = > circumference = 2 \times \frac{22}{7} \times \frac{63 \: cm}{2} \\ = > circumference = 2 \times \frac{11}{7} \times 63 \: cm \\ = > circumference = 2 \times 11 \times 9 \: cm \\ = > circumference = 198 \: cm[/tex]

Answer: Therefore, the circumference of circle is 198 cm.

Step-by-step explanation:

diameter = 63 cm

radius = 63/2 = 31.5 cm

circumference = ?

circumference or perimeter of circle = 2*pi*r

= 2*(22/7)*31.5

= (44/7)*31.5

= 198 cm

Answer:

10.20

Step-by-step explanation:

Let

y = Total fee

Initial fee = $10.20

Yearly fee = $3.90

Number of years = x

The equation:

y = 3.90x + 10.20

Recall,

y = mx + c

Where,

x = slope

c = y - intercept

Therefore,

The y - intercept from y = 3.90x + 10.20 is 10.20

Answer:

3560 people.

Step-by-step explanation:

You have to do 89% × 4000.

Or 0.89×4000=3560.

So 3560 is the answer.

Answer:

3.5 cm

Step-by-step explanation:

v = πr²h

r = radius

π = 22/7

h = height

192.5 = 22/7 x 5 x r²

divide both sides of the equation by (7/22 x 1/5)

192.5 x 7/22 x 1/5 = r²

r² = 12.25

find the square root of both sides

r = 3.5cm

Answer:

u =√6

v =√5

Step-by-step explanation:

u = √(1²+2²+1²) =√(1+4+1) = √6

v = √(1²+2²) =√(1+4) = √5

Answer:

Step-by-step explanation:

Scientific notation is always written as a number between 1 and 9.9999999 repeating. There follows a power of 10. I'm not sure which answer would help you see it clearer but

4.8 * 10^4 the decimal is shifted 4 places the right which is 48000 where you have no numbers, you use zeros.

2.01 * 10^6 means that you shift the decimal 6 places to the right.

2010000

So 2 million is larger than 48 thousand.

The other way to do it is just to look at the power. 6 is more than 4. 6 describes the number of places you move. So does 4. 6>4 so that's the larger number.

B. 4562

Hope this helps(:

!!!!!!!

Answer:

4.562...

Step-by-step explanation:

A rational number can be written in the form a/b where a and b are integer

-54 is an integer  ( -54/1)

5/9 is in the form a/b where a is 5 and b is 9

2.13 is in the form a/b where a is 213 and b is 100

4.562... is a non repeating and non terminating decimal, which is irrational

Answer:

25 feet is equal to 300 inch

Answer:

300 inches

Step-by-step explanation:

12 inches equal a foot, so just multiply 12 by 25 and BOOM, you get 300 inches :)

Answer:

2.1

Step-by-step explanation:

Angle Q of the triangle, SRQ is 47. Let find Length of RQ of SRQ.

If we apply tangent ratio, we get

[tex]x = 5.9[/tex]

Now let find the measure of RP of Triangle SRP.

If we apply tangent ratio, we get

[tex]x = 3.8[/tex]

We can find PQ by Subtraction Poustulate.

[tex]5.9 - 3.8 = 2.1[/tex]

so

Pq=21

Answer:

PQ ≈ 2 cm

Step-by-step explanation:

 We know that SRQ is 47.  

Next we apply the tangent ratio. We get x = 5.9  

Now we find the measure of RP of the triangle SRP.  

If we apply tangent ratio, we get x = 3.8    

We can find PQ with this:

5.9 - 3.8 = 2.1 ≈ 2 cm