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goblinko [34]
3 years ago
15

WILL GIVE BRAINLIEST!!!

Mathematics
1 answer:
REY [17]3 years ago
8 0

\boxed{g(x)=3^{x-2}-1}

<h2>Explanation:</h2>

We can write the graph of g(x) as:

g(x)=3^{x+c}+k

Where:

c:Represents \ an \ horizontal \ shift \\ \\ k:Represents \ a \ vertical \ shift

From the graph (2, 0) and (3, 2) are points that line on the graph, therefore:

For \ (2,0): \\ \\ 0=3^{2+c}+k \\ \\ k=-3^23^c \\ \\ \\ For \ (3,2): \\ \\ 2=3^{3+c}+k \\ \\ k=2-3^33^c

Equating k:

-3^23^c=2-3^33^c \\ \\ Solving \ for \ c: \\ \\ 3^33^c-3^23^c=2 \\ \\ 3^c(3^3-3^2)=2 \\ \\ 3^c(18)=2 \\ \\ 3^c=\frac{1}{9} \\ \\ 3^c=\frac{1}{3^2} \\ \\ 3^c=3^{-2} \\ \\ So, \ by \ property: \\ \\ a^x=a^y \ then \ x=y \\ \\ \\ So: \\ \\ c=-2

Solving for k:

k=-3^23^c \\ \\ k=-3^23^{-2} \\ \\ k=-3^{2-2} \\ \\ k=-3^{0} \\ \\ k=1

Finally, our equation is:

\boxed{g(x)=3^{x-2}-1}

<h2>Learn more:</h2>

Even functions: brainly.com/question/11309886

#LearnWithBrainly

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Y = 2/3 x -3 y = -3/2 x +2 what statement about the lines are true
Hoochie [10]

Answer:

The product of the slopes of lines is -1.

i.e. m₁ × m₂ = -1

Thus, the lines are perpendicular.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the lines

y = 2/3 x -3       --- Line 1

y = -3/2x +2      --- Line 2

<u>The slope of line 1</u>

y = 2/3 x -3       --- Line 1

By comparing with the slope-intercept form of the line equation

The slope of line 1 is: m₁ = 2/3

<u>The slope of line 2</u>

y = -3/2x +2      --- Line 2

By comparing with the slope-intercept y = mx+b form of the line equation

The slope of line 2 is: m₂ = -3/2

We know that when two lines are perpendicular, the product of their slopes is -1.

Let us check the product of two slopes m₁ and m₂

m₁ × m₂ = (2/3)(-3/2 )

m₁ × m₂ = -1

Thus, the product of the slopes of lines is -1.

i.e. m₁ × m₂ = -1

Thus, the lines are perpendicular.

7 0
2 years ago
You are given a loaded six-sided die. Such a die can produce any integer from 1 to 6. The die rolls a 4 three times as often as
beks73 [17]
I would say 6 bc it’s a die of 6 and u get it 6 times
6 0
3 years ago
How likely is it that you would push a green button if your eyes are closed
Harrizon [31]

Answer:

This really depends on the situation, and many variables. Is there a specific moment? Multiple buttons? Would you mind giving more context or is that it?

8 0
2 years ago
Read 2 more answers
2. Solve each given equation and show your work. Tell whether each equation has one solution, an infinite number of solutions, o
Ugo [173]
Alright,

(a) 2x+4(x-1)=2
2x+4x-4=2---- Distrubution of 4(x-1)
6x-4=2---- Combining like terms
6x=6---- Making -4 equal 0 by adding +4 to both sides
x=1---- Divide the coefficiant (6)

(b) 25-x=15-(3x+10)
25-x=15-3x-10----Distribute the -1
25-x=5-3x---- Combine like terms
25=5-2x---- Make -x equal 0 by adding +x to both sides
20=-2x---- Make 5 equal zero by subtracting 5 (or adding -5) to both sides
-10=x---- Divide by the coefficiant (-2)

(c) 4x= 2x+2x+5(x-x)
4x=2x+2x+5(0)---- Distribute. Alright this might look hard but realy it is 1x-1x so the answer is 0
4x=2x+2x---- 5 times 0 is 0
4x=4x---- Combine like terms
x=x ---- divide by the coefficiant

Alright! Hope this helps! ;)
4 0
3 years ago
What is the product?
svlad2 [7]

Answer:

Third option: 2x^3-11x^2+16x-3

Step-by-step explanation:

The product to be found is:

(x-3)(2x^2-5x+1)

Distributive property will be used for the product:

x(2x^2-5x+1)-3(2x^2-5x+1)\\

Multiplication will give us:

=2x^3-5x^2+x-6x^2+15x-3\\Combining\ alike\ terms\\=2x^3-5x^2-6x^2+x+15x-3\\=2x^3-11x^2+16x-3

The product is: 2x^3-11x^2+16x-3

Hence, third option is the correct answer ..

4 0
3 years ago
Read 2 more answers
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