6) Write the equation, g(x), that is 9 units below f(x) = 3^X+ 2.

6) Write The Equation, G(x), That Is 9 Units Below F(x) = 3^X+ 2.

Answers

Answer 1

Answer:

g(x) = 3^x -7

Step-by-step explanation:

In an exponential function like this, the constant at the end of the function represents the vertical shift. This means that the original function is shifted 2 units up. So, 9 units lower than +2 is -7. Thus, the new function, g(x), is g(x)=3^x - 7.
We can prove that g(x) is 9 units lower through y-intercepts. The function f(x) has a y-intercept of 3 and g(x) is -6. Since -6 is 9 lower than 3, we know that there is a 9 unit difference between the functions.


Related Questions

Nuka is weaving beaded strips. The double number line shows that they can weave 7 cm of the strip in 4
minutes.
4
+
+
0
Time
A
(minutes)
Length
(cm)
H
0
+ +
7
Based on the ratio shown in the double number line, what length can Nuka weave in 5 minutes?
cm
Report a problem

Answers

Number lines are used to represent numbers and ratios using regular intervals

Nuka can weave 8.75 cm of strip in 5 minutes

How to determine the length of strip

Represent the ratio with:

Ratio = Length : Time

From the number line, they can weave 7cm of the strip in 4 minutes.

So, we have:

Ratio = 7cm : 4 minutes

Represent the length of strip made in 5 minutes with x.

So, we have:

x : 5 minutes = 7cm : 4 minutes

Remove the common units

x : 5 = 7cm : 4

Express as fraction

[tex]\frac x5 = \frac 74[/tex]

Divide 7 by 4

[tex]\frac x5 = 1.75[/tex]

Multiply through by 5

[tex]x= 8.75[/tex]

Hence, Nuka can weave 8.75 cm of strip in 5 minutes

Read more about double number lines at:

https://brainly.com/question/26629835

Given that a:b:c= 20 : 35 : 15, a) simplify a : b:c, b) find a:b,
c) find c:b

Answers

Answer:

a) 4:7:3

b) 4:7 / 20:35

c) 3:7 / 15:35

Twenty-three more than three times a number is equal to the difference between -32 and twice the number. Find the number.

Answers

Answer:

the answer would be -202

Step-by-step explanation:

since the number your starting with is 23 you would take 23 and × by 3 which gives you 69 then take -32 and subtract that by 69 then what ever you got for that you would multiply it by 2 and then get -202

(5a2 + 4ab – 3b2) – (–5ab + 4b2 + 3a2) =

Answers

Answer:

See below.

Step-by-step explanation:

(5a^2 + 4ab – 3b^2) – (–5ab + 4b^2 + 3a^2)

5a^2+4ab-3b^2+5ab-4b^2-3a^2

(5a^2-3a^2)+(4ab+5ab)+(-4b^2-3b^2)

2a^2+9ab-7b^2

-hope it helps

Answer:

You can answer this with modern calculators very easily.

directions write s if the set is similar fraction and d if the set is dissimilar fraction​

Answers

Answer:

Similar (Like) fractions are fractions with same denominators. On the other hand, dissimilar (Unlike) fractions are fractions with different denominators.

Step-by-step explanation:

hope it helps you

V=lxwxh……………………….::::

Answers

Answer:

below

Step-by-step explanation:

6x6x3=108

If (x) = 3x - 2 and g(x) = 2x + 1, find (1-7)(x).
A. X-3
B. 5x - 3
C. 3- x
D. 5x - 1

Answers

Answer:

A

Step-by-step explanation:

f - g = (3x - 2) - (2x + 1) = x - 3

A

Two numbers add to 336 and the first is 126 bigger than the five times the second. What are the two numbers?

Answers

Answer:

301, 35

Step-by-step explanation:

1st number = x, 2nd = y

x + y = 336

x = 126 + 5y

Then

(126 + 5y) + y = 336

6y = 336 - 126 = 210

y = 210/6 = 35

x = 126 + 5y = 126 + 5*35 = 301

Or x = 336 - 35 = 301

The two numbers are 301 and 35

How much water should be added to 3 gallons of pure alcohol in order to obtain a solution that is 50% alcohol?

Answers

Answer: 3 gallons of water

Step-by-step explanation:

3 gallons of alcohol +3 gallons of water = 6 gallons total

alcohol = 3/6 = 50%

Let x=amount of water added.

let 3+x=amount of alcohol and water in 15% solution.

Let 3 gallons of alcohol=percentage of alcohol*volume of solution

3=0.15*(3 + x)

3=0.45 + 0.15x

2.55=0.15x

2.55/0.15=x or 17 gallons of water added=x

A square box is being cut apart and has the measurement shown below what is the surface area of the box

Answers

Answer:

73.5 in^2

Step-by-step explanation:

Box has six sides as represented in the image. Since it is a square, you can multiply the 2 sides to find area of the square. 3.5x3.5=12.25 and since there are 6 sides, 12.25x6=73.5.

A burrito costs $6.50 at a local restaurant.

Answer the questions below.

Answers

Answer:

there is no question you just made a statement

Please help
Me with this!

Answers

Answer:

  22

Step-by-step explanation:

Let x represent the number of houses on each street. Normally, Jake delivers 7x papers, and Ryan delivers 3x papers. On the day when Ryan delivered 45 of Jake's papers, we have ...

  (3x +45) > (7x -45)

  90 > 4x . . . . . . . . . . . add 45 -3x to both sides

  22.5 > x . . . . . . . . . . divide by 4

The number of houses on each street will be an integer, so the maximum number of houses on each street is 22.

_____

Additional comment

If Jake normally delivers more than 45 papers, then we must also have ...

  7x > 45

  x > 6 3/7

There must be at least 7 houses on each street.

Your friend is having trouble analyzing solutions to linear equations. Create a study guide for your friend and include the following.

Explain what a solution to an equation is.
Provide an example of an equation with exactly one solution. Prove why it has one solution.
Provide an example of an equation with no solution. Prove why it has no solution.
Provide an example of an equation with infinitely many solutions. Prove why it has infinitely many solutions.
Explain the general process for determining whether an equation has one, infinitely many, or no solution.

Answers

Answer:

Sana all my jówa haha thanks

PLease hurry! i need it! And the testing thing is happening, so before 6 pm?

Answers

Answer:

y = 6

Step-by-step explanation:

Given system of equations:

[tex]\begin{cases}-x+3y=9\\y = \dfrac{2}{3}x\end{cases}[/tex]

Step 1: Substitute the second equation into the first and solve for x.

[tex]\\\implies -x+3\left(\dfrac{2}{3}x\right)=9\ \textsf{[ Multiply. ]}\\\\\implies -x+2x=9\ \textsf{[ Combine like terms. ]}\\\\\implies \boxed{x=9}[/tex]

Step 2: Substitute 9 as the value of x in any equation and solve for y.

[tex]\\\implies-9+3y=9\ \textsf{[ Add 9 to both sides. ]}\\\\\implies -9+9+3y=9+9\\\\\implies 3y=18\ \textsf{[ Divide both sides by 3. ]}\\\\\implies \dfrac{3y}{3}=\dfrac{18}{3}\\\\\implies \boxed{y=6}[/tex]

The solution to the given system of equations is (9, 6).

Learn more here:

brainly.com/question/27868564

Explain how you can use fractions greater than 1 to subtract mixed numbers.

Answers

Hope this helps u !

Celia will be celebrating her 18th birthday. She plans to purchase coin purses as give away gifts A purse costs 50 pesos. How much will the number of coin purses (n) cost if the total cost i represented by A? Write the rule or equation of the situation and give at least 3 ordered pairs.​
PLSSS PATULONG PO

Answers

Answer:

Rule: A=50n

Step-by-step explanation:

Because each purse is 50 pesos, and n is the number of purses, and 50n would be the total cost, otherwise known as A.

Our rule is: A=50n

Then we insert 3 values for n, and solve to get the ordered pairs.

n=3 purses, A=3*50=150 dollars

n=4 purses, A=200 dollars

n=5 purses, A=250 dollars

The number of calories in a sample of hamburgers from six fast food restaurants are
360 310 280 330 310 340
What is the mean

Answers

Answer:

The mean is 321.67 which can be rounded to 321.7 or 322

Step-by-step explanation:

360+310+280+330+310+340 = 1930

1930 / 6 = 321.666666667

The mean is 321.67 which can be rounded to 321.7 or 322

Hope this helps!

Activity
In this activity, you will first find the cubes of positive and negative numbers and
then find whether the solution to an equation is a perfect cube.
Question 1
Part A
Complete the table by cubing each positive x-value.
PLS HELPPP???!!

Answers

Answer:

2 8

3 27

4 64

5 125

6 204

7 343

8 512

9 729

10 1000

GIVING BRAINIEST IF CORRECT!!!!


Kelsey and Jeffrey were deciding how best to factor the expression 4x^2 - 100. Kelsey said this is a GCF question, but Jeffrey said it is a DOTS question. Who is correct and why?

Answers

Answer:

4 ( x - 5 ) x ( x + 5 )

Step-by-step explanation:

1- Factor the expression

2- Factor the expression

Answer:

They are both correct because you should use both to solve the question. To solve it you will have to find the GCF first and then you find the difference of two squares.

Step-by-step explanation:

4x^2 -100

[tex]4(x ^{2} - 25)[/tex]

This would be finding the Greatest common factor

[tex]4(x - 5)(x + 5)[/tex]

This would be finding the difference of two squares

hopefully this is a good enough explanation

please answer this question

Answers

A^2 + B^2 =C^2
15^2 + 8^2 =C^2
225+64= C^2
289= C^2

Then take the square root of both
C=17km

Answer:

7km

Step-by-step explanation:

[tex] {15}^{2} + {8}^{2} = {c}^{2} \\ 225 + 64 = 289 \\ {c}^{2} = 289 \\ c = \sqrt{289 } \\ c = 17km[/tex]

find four consecutive odd integers such that the sum of twice the smallest and the largest is 11 more than the sum of the middle two integers

Answers

Answer:

x+(2+x)+(4+x)+(6+x)= x+12

2x + 6+x = 3x +6

2+ x + 4+x= 2x + 6

2x + 6 + 11 = 3x+6

2x + 17 = 3x +6

3x-2x = 17-6

x = 11

therefore the four consecutive odd integers are

11, 13, 15 and 17

Please answer the question in the picture

Answers

Answer:

your answer will be (yes = true)

If (-3, y) lies on the graph of y = 3^x, then y =
-1
1/27
-27

Answers

Answer:

1/27

Step-by-step explanation:

If (-3, y) lies on the graph of y = 3^x, then we can find y by filling in the given x and calculating y

They gave us that x is -3 (the first number in an ordered pair is the x).

y = 3^x

y = 3^(-3)

y = 1/(3^3)

**You "fix" a negative exponent by pushing across a fraction bar; that changes the sign of an exponent**

y = 1/27

Because3^3 is 3×3×3 is 27

Someone help me please

Answers

Answer:

A is 75

B is 15

C is 105

Step-by-step explanation:

90-75=15

B is 15

A and C have a total of 180 degrees

180-75=105

C is 105

180-105=75

A is 75

90+75= 165
180-165=15
b=15
180-75=105
C=105
15+90= 105
180-105=75
a=75

Hope it help you!!

Square DEFG with vertices D(0,0).
E(2, 4), F(6,2), and G(4,-2):
k = 5/2

Answers

Dilation involves changing the size of a square

The vertices of the image are (0,0), (5,10), (15,5) and (10,-5)

How to determine the image of the square

The vertices of the square are given as:

D(0,0), E(2, 4), F(6,2), and G(4,-2)

The scale factor (k) is given as:

k = 5/2

So, the image of the square is:

[tex]D' = 5/2 * (0,0) = (0,0)[/tex]

[tex]E' = 5/2 * (2, 4) = (5,10)[/tex]

[tex]F' = 5/2 * (6, 2) = (15,5)[/tex]

[tex]G' = 5/2 * (4,-2) = (10,-5)[/tex]

Hence, the vertices of the image are (0,0), (5,10), (15,5) and (10,-5)

Read more about dilation at:

https://brainly.com/question/3457976

PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST​

Answers

A b and d hope it helps
C,D
that is just how because you do 50% of the original and if it’s less then it’s greater

If you used a random number generator for the numbers from 1 through 20 to play a game, what is the theoretical probability of getting each of these outcomes?

a. A multiple of 3 or a multiple of 7, P(multiple of 3 or multiple of 7)

b. P(even or odd)

c. P(prime or 1)​

Answers

Answer: See below

Step-by-step explanation:

Game 1:

20 total numbers

Probability = Multiples of 3 and 7/Total Numbers

P = 8/20

P = 2/5 or 40%

Game 2:

20 total even or odd numbers

Probability = Number of even and odd/Total Numbers

P = 20/20

P = 1 or 100%

Game 3:

8 prime numbers and 1 = 9 total

Probability = Number of prime numbers or 1/Total Numbers

P = 9/20 or 45%

a) The probability of a multiple of 3 or a multiple of 7 is 40%.

b) The probability of even and odd is 100%.

c) The probability of the number being prime is 45%.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Game 1:

20 total numbers

Probability = Multiples of 3 and 7/Total Numbers

P = 8/20

P = 2/5 or 40%

Game 2:

20 total even or odd numbers

Probability = Number of even and odd/Total Numbers

P = 20/20

P = 1 or 100%

Game 3:

8 prime numbers and 1 = 9 total

Probability = Number of prime numbers or 1/Total Numbers

P = 9/20 or 45%

To know more about probability follow

https://brainly.com/question/24756209

#SPJ2


help!! Please !! Thank you if you help

Answers

X is greater than or equal to 4

Ok ease
Please please help me

Answers

Answer:

1 / 5^7 the last one is correct

Answer:

I checked and the person above is correct

(image is question) ................................

Answers

Answer:

2x^2

Step-by-step explanation:

If you're going to double x^2, you just need to multiply it by 2. You can just put the 2 in front of the x^2 because the order of operations says to do exponents before multiplication.

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