What do both of these functions have in common?
f(x) = 2log10 (x - 1)- 4
g(x) = 10(x-1)^2 +4
A. They have the same horizontal translation
B. They have the same vertical stretch
C. They have the same vertical shift
D. They have the same end behavior

Answer:

To graph the equation, you need to find the slope and y-intercept.

y = mx + b

⬑[slope-intercept formula; m is the slope, and b is the y-intercept]

y = 4x + −1

⬑[given equation before being simplified]

y = 4x − 1

⬑[given equation]

║m = 4

║b = (0, −1)

Proof:

m = [tex]\frac{rise}{run}[/tex] = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

x₁ = 0

x₂ = 1

y₁ = −1

y₂ = 3

m = [tex]\frac{3 - -1}{1 - 0}[/tex]

║m = 4

║b = (0, −1)

[the value for x₁ and y₁ equals the y-intercept: (0, −1)]

Graph:

Answer:

D

Step-by-step explanation:

22/11 = 2

77/11 = 7

110 /11 = 10

121/11 = 11

In each case, when you divide the input by 11 you get the output.

The rule is to divide the input by 11.

Answer: D

Answer:

75ft

Step-by-step explanation: angles

Answer:

A Dramatic change in appearance or form

Step-by-step explanation:

Answer:

A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system. Mathematical transformations describe how two-dimensional figures move around a plane or coordinate system. A preimage or inverse image is the two-dimensional shape before any transformation.

Answer:

18 cents

Step-by-step explanation:

25 times 5 plus 30 plus 4

Answer:

$0.18

Step-by-step explanation:

Answer:

≈10502.7

Step-by-step explanation:

Hi there!  

»»————-　★　————-««

I believe your answer is:  

160π cubic units.

»»————-　★　————-««  

Here’s why:

The formula for volume of a cylinder is:

[tex]V=\pi r^2h[/tex]

[tex]\boxed\text{Key:}\\\\[/tex][tex]\boxed{\text{Key:}}\\\\\text{R - Radius}\\\\\text{H - Height}[/tex]

⸻⸻⸻⸻

We are given:

⸻⸻⸻⸻

We will replace the 'r' with '4' and we will replace the 'h' with '10'.

⸻⸻⸻⸻

There are two ways to express the answer, either an exact answer in terms of pi or an approximation using 3.14 for pi.

For this answer, I will use the exact terms.

⸻⸻⸻⸻

[tex]\boxed{\text{Finding the Volume of the Cylinder:}}\\\\V=\pi 4^210\\\\-------\\\rightarrow V=4^2*10*\pi \\\\\rightarrow V=16*10*\pi\\\\\boxed{V=160\pi}[/tex]

The answer should be [tex]\boxed{160\pi\text{ units} ^3.}[/tex]

»»————-　★　————-««  

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

Answer:

The answer is -7, because -15-9=-7

Answer:

B- 110

Step-by-step explanation:

If that curve is 110 then the angle is as well.

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

R (- 3, 3 ) → R' (3, 3 )

S (- 3, 8 ) → S' (3, 8 )

T (- 2, 7 ) → T' (2, 7 )

Answer:

0.04

Step-by-step explanation:

Answer:

[tex]y=-3x+5[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

[tex]y= -3x -5[/tex]

With the given line, we can identify clearly that -3 is in the place of m, making it the slope. Because parallel lines have the same slopes, the slope of the line we're currently solving for would also be -3. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-3x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-3x+b[/tex]

Plug in the given point (1,2) and isolate b

[tex]2=-3(1)+b\\2=-3+b[/tex]

Add 3 to both sides

[tex]2+3=-3+b+3\\5=b[/tex]

Therefore, the y-intercept of the line is 5. Plug this back into [tex]y=-3x+b[/tex]:

[tex]y=-3x+5[/tex]

I hope this helps!

Answer:

8.5

Step-by-step explanation:

Answer:

its either 11 or 2/3

Step-by-step explanation:

Answer:

18x^2+6

Step-by-step explanation:

2(9x^2+3)

multiply each term in parentheses by 2

2 x 9x^2+2 x 3

calculate product

18x^2+2 x 3

multiply numbers

18x^2+6

Answer:

2000

Step-by-step explanation:

5 × [tex]10^{6}[/tex] ÷ 2.5 × 10³

5000000 ÷ 2500

2000

Answer:

He has 1/6 of his book left to read.

Step-by-step explanation:

1/2 + 1/3 = 3/6 + 2/6 = 5/6

And 6/6 - 5/6 = 1/6

Answer:

315cm^3

Step-by-step explanation:

multiply 15cm×6cm×3.5cm=

315cm^3

Answer:

75%

hope this helps

have a good day :)

Step-by-step explanation:

Answer: 75%

Step-by-step explanation:

+Answer:

You are lying more then telling the truth.

Step-by-step explanation:

At first, it was a lie but a coincidence happened, so it is more lying in my opinion.

Answer:

Sebastian

Step-by-step explanation:

Answer: [tex]9\pi \ in.^2[/tex]

Step-by-step explanation:

Given

The height of the cylinder is [tex]h=7\ in.[/tex]

The volume of the cylinder is [tex]V=63\pi \ in.^3[/tex]

The volume of the cylinder is the product of area and height

[tex]\Rightarrow V=\pi r^2h\\[/tex]

Insert the values

[tex]\Rightarrow 63\pi =A\times 7\\\\\Rightarrow A=\dfrac{63\pi}{7}\\\\\Rightarrow A=9\pi\ in.^2[/tex]

Thus, the area of the cross-section is [tex]9\pi \ in.^2[/tex]

Answer:

ka=2.8×10>4

Step-by-step explanation:

.$%_&<</___/%$

Answer: 6

Step-by-step explanation:

ab:pq = 5:35, and ac:pr=x:42

because ab:pq=5:35, then it becomes 1:7, as you can divide by 5 on both sides. Ac:pr=x:42, and 42=7x. When you solve that x=6.

hope that makes sense!

Answer:

Hi, there

Question 1: B. 6x^3(x-6)

Question 2: A. (8x+3)^2

Question 3: A. (5x+9y)(5x-9y)

Question 4: D.(x-2)(x-3)

Step-by-step explanation:

Hope this helps :)

Answer:

Sqrt 29

Step-by-step explanation:

Answer:

it sold 300 newspapers because you needed to multiply 25x 12

Step-by-step explanation: