Match the range of the function f(x) = x2 + 2x − 1 to its domain.
2 -2 3 -3
2 --
14 --
7 --
-1 --

Answer:

A. -10x^2 - 3x + 4.

Answer:

x = V(X + 8) + 4

Step-by-step explanation:

Switch sides

x - 4 = V(X + 8\)

Add\ 4 to both sides

x - 4 + 4 = V(X + 8\) + 4

Simplify

x = V(X + 8) + 4

Answer:

4x^3+4x^2

Step-by-step explanation:

f(x) = 4x^2

g(x) = x+1

(f•g)(x) = (4x^2) *(x+1) = 4x^3+4x^2

Answer:

[tex](-3,4/375)[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{1}{6}(\frac{2}{5})^x[/tex]

Reflection: Across y-axis

Required

The ordered pair on g(x)

The rule of reflection across y-axis is:

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

So, we have:

[tex]g(x) = f(-x)[/tex]

f(-x) is:

[tex]f(-x) = \frac{1}{6}(\frac{2}{5})^{-x[/tex]

Recall that:

[tex]g(x) = f(-x)[/tex]

Hence:

[tex]g(x) = \frac{1}{6}(\frac{2}{5})^{-x[/tex]

From the options (missing in the question), the ordered pair is:

[tex](-3,4/375)[/tex]

To check this, we have:

[tex]g(x) = \frac{1}{6}(\frac{2}{5})^{-x[/tex]

[tex]g(-3) = \frac{1}{6}(\frac{2}{5})^{--3[/tex]

[tex]g(-3) = \frac{1}{6}(\frac{2}{5})^{3[/tex]

Expand

[tex]g(-3) = \frac{1}{6}(\frac{8}{125})[/tex]

Simplify

[tex]g(-3) = \frac{1}{3}(\frac{4}{125})[/tex]

Open bracket

[tex]g(-3) = \frac{4}{375}[/tex]

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

Explanation:

Since L and M are parallel lines, this means x+y = 180 due to the same side interior angles theorem. Some books refer to these angles as consecutive interior angles.

If x+y = 180, then y = 180-x.

Plug this into the equation your teacher gave you

x/y = 3/7

x/(180-x) = 3/7

7x = 3(180-x) ... cross multiply

7x = 540 - 3x

7x+3x = 540

10x = 540

x = 540/10

x = 54

Use this to find y

y = 180-x

y = 180-54

y = 126

Then notice how x/y = 54/126 = 3/7, which helps confirm we have the correct x and y values.

Divide both parts of the first fraction by 18 to fully reduce.

Now because angles y and z are alternate exterior angles, this must mean z = y = 126 degrees

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]x = 11[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'x'...}}\\\\2(x+3)+9-5=32\\----------------\\\rightarrow 2x + 6 + 9 - 5 = 32\\\\\rightarrow 2x + 10 = 32\\\\\rightarrow 2x + 10 - 10 = 32 - 10\\\\\rightarrow 2x = 22\\\\\rightarrow \frac{2x=22}{2}\\\\\rightarrow \boxed{x=11}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

The volume of square based pyramid is 4cm³.

A square pyramid is a pyramid, in geometry, that has a square base and four lateral faces.

To find the volume of a pyramid, we multiply the area of its base with the height of the pyramid, and divide by 3.

V=1/ 3×B²×h

where B is the area of the base of the pyramid, and h is its height.

Now in the question,

b = 2cm; h = 3cm

Volume = (1/3 x 2x2x3)cm³

= (1x2x2)cm³

= 4cm³

Therefore, the volume of square based pyramid is 4cm³

To learn more about volumes, visit :-

brainly.com/question/1578538

#SPJ1

Hello,

Here are the solution in excel files

par la méthode de Gauss

Answer:

24 is the answer because 18/3=6 6x4 is 24

Answer:

The product is -120

Answer:

y-25 = 2(x-10)

Step-by-step explanation:

First find the slope using the points (10,25) and (20,45)

m = ( y2-y1)/(x2-x1)

m = (45 - 25)/(20-10)

   = 20/10

   = 2

Then using point slope form of a line

y-y1 = m(x-x1)

y-25 = 2(x-10)

Answer:

x = 25.2

Step-by-step explanation:

[tex]\frac{5}{18} =\frac{7}{x}[/tex]

5x = 126

x = 25.2

Answer:

15.3 cm² is the correct answer for that question

Answer:

The modal age is 11

The range is the highest minus the Lowe's which is 19-9=10

Answer:

WX = WZ

Step-by-step explanation:

Given

See attachment for triangles

Required

Additional information to prove the congruence of the triangles

Congruence by SAS means 1 angle and 2 sides of each triangles are equal.

The mark on angle W means that <XWY = <ZWY--- This represent the A in SAS

Both triangles share line WY.

So, WY = WY

Lastly, to complete the proof, lines WX must equal line WZ

Answer: 12 units²

Step-by-step explanation:

To find the area of a parallelogram, we use the formula A=l×w. To find the length and width, let's graph out the parallelogram to get a better view. Let's refer to the picture attached to see what the graph looks like. The length is 4 units while the width is 3 units. Therefore we multiply.

A=4×3=12 units²

Now, we know the area is 12 units².

75 cents *2 / 3 = 50 cents

75 crnts + 50 cents = 125 cents

Answer:

Alternate interior angles theorem

Step-by-step explanation:

Hope it helps you in your learning process.

Answer:

C= 65° and m D = 35°

this cannot be true

Step-by-step explanation:

a complementary angle adds up to 90°

65°+35°=100

90° =/= 100°

Answer:

sin x

Step-by-step explanation:

sin ^2  x + sin x + cos ^ x -1

sin ^2  x + cos ^ x   + sin x-1

We know that sin^2 x + cos ^2 x = 1

1 + sin x -1

sin x

Hi!

[tex]\sin^2x+\sin x+\cos^2 x-1=\\\\=\underline{\sin^2x+\cos^2x}+\sin x-1=\\\\=1+\sin x-1=\boxed{\sin x}[/tex]

Answer:

(1/2×6×8)+(π×4^2/2)

=49.12 ft^2

☆○☆○☆○☆○☆○

Hope it helps..

Have a great day!!!

Wait sorry ignore this I'm still getting used to brainly and I did the question wrong sorry

Answer:

area of the triangle= 1/2 × base × height

24 = 1/2 × 4 × height

height. = 24/2

= 12 inches

answer is third option

Answer:

woa

i  n

Step-by-step explanation:

Answer: b

Step-by-step explanation:

Answer:

The correct answer is -7.5 years.

Step-by-step explanation:

Given:

Principle amount = 12000

Interest = 4320

time = ?

rate = 4.8 simple interest

Solution:

We know that simple Interest I = (P*t*r)/100

then t = I*100/p*r

putting values in formula:

t = 4320*100/4.8*12000

= 432000/57,600

= 7.5 years

Answer:

Distributive property

Step-by-step explanation:

The question is not properly formatted.

From the available detail, I will re-write the question as follows

[tex]45x + 3(25x + 75y)[/tex]

Required

The property used

Distributive property is stated as follows:

[tex]a(b \± c) = ab \± ac[/tex]

So, we have:

[tex]45x + 3(25x + 75y) = 45x + 75x + 225y[/tex]

Evaluate like terms

[tex]45x + 3(25x + 75y) = 120x + 225y[/tex]

by using Pythagoras theorem c2= a2 + b2

so let's say c= 17 and a= 7, let's calculate for b

(17)^2 = (7)^2 + b2

289= 49+b2

289 - 49 = b2

240 =b2

√249 = b

b = 15 . 49

Answer:

9/2

Step-by-step explanation:

For example, the additive inverse of 7 is −7, because 7 + (−7) = 0, and the additive inverse of −0.3 is 0.3, because −0.3 + 0.3 = 0.

-9/2 + 9/2 = 0

Answer:

9/2.

Step-by-step explanation:

If x is the additive inverse then

x + (-9/2) = 0

x - 9/2 = 0

so x = 9/2.

Answer:

6^5

Step-by-step explanation:

We know that a^b /a^c = a^(b-c)

6^20 / 6^15

6^(20-15)

6^5