The graph of f(x)=16^x is reflected about the x-axis and shifted upward 8 units. What is the equation of the new function, g(x) ?

Answers

Answer 1

Answer:

g(x) = -16^x + 8

Step-by-step explanation:

This reflection is accomplished by putting a negative sign in front of 16^x, and the upward translation by adding 8:

f(x)=16^x  becomes  g(x) = -16^x + 8


Related Questions

(X-3)(X-1)

Expand and simplify

Answers

[tex](x-3)(x-1)\\\\=x(x-1) -3(x-1)\\\\=x^2 -x -3x +3\\\\=x^2 - 4x+3[/tex]

Liza bought 5.035 kg of chicken. Write its weight in words.

Answers

Answer:

five point zero three five

resolve into factors : a^3 + 35b^3 + (a -b)^3

Answers

Step-by-step explanation:

a^3+35b^3+a^3-b^3

2a^3+34b^3

Answer:

2a^3 + 34b^3 - 3a^2b + 3ab^2

Which statement is a true conditional with a converse that is also true?


If an angle measures more than 90 degrees, then the angle is obtuse.

If x = 4, then x2 = 16.

If a figure is a square, then it is a quadrilateral.

If two angles are complementary, then the angles have a sum of 180 degrees.

Answers

The answer is the 3rd statement, if a figure is a square, it is a quadrilateral
That is true

Solving Systems of Three equations

(please help i will make you brainliest!!!)

Answers

Answer:

2) x = -4; y = 0; z = -2

4) x = 4; y = 2; z = 0

Step-by-step explanation:

2)

-4x - 5y - z = 18

-2x - 5y - 2z = 12

-2x + 5y + 2z = 4

Add the 2nd and 3rd equations to eliminate y and z.

-4x = 16

x = -4

Substitute x = -4 in first and second equations.

(-4)(-4) - 5y - z = 18

(-2)(-4) - 5y - 2z = 12

-5y - z = 2

-5y - 2z = 4

Multiply first equation by -1 and add to second equation.

       5y + z = -2

(+)   -5y - 2z = 4

----------------------

               -z = 2

z = -2

Substitute x = -4 and z = -2 in first original equation and solve for y.

-4(-4) - 5y - (-2) = 18

16 - 5y + 2 = 18

-5y = 0

y = 0

Answer: x = -4; y = 0; z = -2

4)

4x + 4y + z = 24

2x - 4y + z = 0

5x - 4y - 5z = 12

Add equations 1 and 3 to eliminate y.

9x - 4z = 36    Eq. 1

Add equations 1 and 2 to eliminate y.

6x + 2z = 24    Eq. 2

Multiply Eq. 2 by 2 and add to Eq. 1.

       12x + 4z = 48

(+)      9x - 4z = 36

----------------------------

        21x       = 84

x = 4

Substitute x = 4 into Eq. 1 to solve for z.

9x - 4z = 36

9(4) - 4z = 36

-4z = 0

z = 0

Substitute x = 4 and z = 0 into the first original equation to solve for y.

4x + 4y + z = 24

4(4) + 4y + 0 = 24

4y = 8

y = 2

Answer: x = 4; y = 2; z = 0

what 1.9 divided by 4

Answers

1.9 dived by 4 = 0.475

Answer:

0.457

Steps bye step explanation:

each ball has a diameter of 60mmwhich container has the smaller surface area?

Answers

Here hope this helps good luckkkkkkk

What are the solutions to the equation |X – 3|= 14?
x= 11 only
Ox= -11 and x = 17
x= 17 only
x= -11 and x=11

Answers

Answer:

{-11,17}

Step-by-step explanation:

|X – 3|= 14

There are  two solutions to an absolute value, one positive and one negative

x-3 = 14    and x-3 = -14

Add 3 to all sides

x-3+3 =14+3         x-3+3 = -14+3

x = 17                     x = -11

x = {-11,17}

Help please and super quick

Answers

Answer:

it's super easy

7¹⁵/7¹⁴

7¹⁵-¹⁴

7¹ or 7

Step-by-step explanation:

I know it helped you :)

3. What is 5% of 120?
A. 5
B. 6
C. 10
D. 12

Answers

Answer:

B

Step-by-step explanation:

5% of 120

= [tex]\frac{5}{100}[/tex] × 120

= 0.05 × 120

= 6

Is this relation a function? Justify your answer. 11 10 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 11 O A. Yes, because the number of x-values is the same as the number of y-values. B. No, because two points with the same yvalue have different * values. O C. No, because two points with the same x-value have different values. D. Yes, because every x- and y-value is positive.​

Answers

this is a relation because it has all of the same number more than once

Olivia works at a travel agency. She earns 7% commission her sales of airline tickets. How much does she earn when she sells 4 airline tickets, each costing $359.50

Answers

Answer:

$100.66

Step-by-step explanation:

First you have to figure out how much she is making from all four tickets, so 4 x 359.50 is $1,438

She makes 7% commission. In decimal form, that is .07. In order to find what she made, multiply .07 by $1,438.

Olivia makes $100.66

Expand the following expression.

Answers

Answer:

C. [tex]\frac{39}{4}[/tex]x +[tex]\frac{39}{16}[/tex]

Step-by-step explanation:

distribute

Answer:

(39/4)x + 39/16

Answer C

Step-by-step explanation:

(13/4) * 3x   +    (13/4) * (3/4)

(39/4)x + 39/16

Find the slope (-10,-3) (7,2)

Answers

Answer:

Let (-10,-3) be (x1, y1)

and (7, 2) be (x2, y2).

Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]

Substitute in values:

[tex]\frac{2-(-3)}{7-(-10)} =\frac{5}{17}[/tex]

Answer:

5/17

Step-by-step explanation:

Slope = Change in /Change in X

Slope = 2 - (-3) / 7 - (-10)

Slope = 5/17

-Chetan K


Help Me in my Math Thanks :)​

Answers

Answer:

Step-by-step explanation:

Asked:  How many square tables are needed to place 100 pupils?

Given: Square table each has 4 pupils to sit

operation :  Multiplication, subtraction,  Division

Solve:

Number of pupils in 9 rectangular tables = 9*8 = 72 pupils

Remaining pupils = 100 - 72 = 28

Number of square table needed =28 ÷ 4 = 7

7 square tables are needed.

Evaluate the expression for a = -13.

Answers

Answer: -4

Step-by-step explanation: (9)+(-13)                                                                         9+−13                                                                                                                           9−13                                                                                                                           −4                                                                            

what is the calculation for 70 increased by 9%

Answers

Answer: 6.3 Increase the number by 9% of its value.

Mary wants to buy one large pizza, one medium pizza, and three drinks. The drinks cost $p$ dollars each, the medium pizza costs two times as much as one drink, and the large pizza costs three times as much as one drink. If Mary started with $30$ dollars, how much money would she have left after making all of her purchases? Give your answer as an expression of $p

Answers

$ (30-8p)

Step-by-step explanation:

3 DRINKS- 3P

MEDIUM- 2p

large- 3p

so plus 8 p

A rectangular briefcase is 16 1/2 inches wide, 12 3/4 inches tall, and 5 inches deep. What is the volume of the briefcase?




please help i will mark as brainlyst ​

Answers

Volume:
= 0.015731581440188783 cubic meters
= 15731.581440188782 cubic centimeters (cc or ml)
= 0.020576131668427984 cubic yards
= 0.5555555555555558 cubic feet
= 959.9999999999999 cubic inches

Answer: 1051.875 inches^3

Step-by-step explanation:

To find the volume of the briefcase, we'll use the formula: L*W*H where;

L = Length

W = Width

H = Height

So we'll have (16.5×12.75×5) inches^3

Which will give 1051.875 inches^3

In the figure, Line a is parallel to line b.

A. Which equation can be used to determine the value of x?

a
3x = 180 - 2x + 20
b
3x = 2x + 20
c
90 - 3x = 2x + 20
d
3x + 2x + 20 = 180

Answers

Answer:

b

Step-by-step explanation:

How do we check an answer to an algebraic equation to make sure that it is correct?

Answers

Determine whether a number is a solution to an equation.

Substitute the number for the variable in the equation.Simplify the expressions on both sides of the equation.Determine the resulting equation is true. If it is true, the number is a solution. If it is not true, the number is not a solution.

- BRAINLIEST answerer

Answer:

substitute the value you solve the variable for back into the original equation and see if the left and right sides of the equation are equal

Step-by-step explanation:

let's say you have this equation:    

2x - 10 = 26

solve by first adding 10 to each side to get:

2x = 36

now divide each side by 2 to get:

x = 18

to check, substitute 18 in for 'x' in the original equation to see if the left side equals the right side of the equation:

2(18) - 10 = 26

36 - 10 = 26

26 = 26

we know our answer is correct

Billy Bob just bought a new car his car costs $75,000. how much money will he pay in taxes for the car if the sales tax is 6%?

Answers

Answer:

4500

Step-by-step explanation:

Which expression is equivalent to 1/2b -15

Answers

Answer:

b-30

Step-by-step explanation:

1/2b-30×2=b-30

hope this helpd

Cuál es grado absoluto de

3x²yz²/4

Answers

Answer:

i dont speak espanish puto

Step-by-step explanation:

If y varies inversely as (x-3). If y = 5 when x =7 find y when x=5

Answers

Given that y varies inversely as (x-3) .When y is 5 x is 7 . We need to find out the value of y when x is 5 .

According to the Question ,

[tex]\sf\longrightarrow y \propto \dfrac{1}{x-3}\\\\\sf\longrightarrow y =\dfrac{k}{x-3}[/tex]

where k is a constant .

And ,

[tex]\sf\longrightarrow 5 =\dfrac{k}{7}\\[/tex]

[tex]\sf\longrightarrow k = 7*5 \\ [/tex]

[tex]\bf\longrightarrow k = 35[/tex]

Now , when x is 5 ,

[tex]\sf\longrightarrow y = \dfrac{k}{x-3} \\ [/tex]

[tex]\sf\longrightarrow y =\dfrac{35}{5-3}\\ [/tex]

[tex]\sf\longrightarrow y=\dfrac{35}{2}\\ [/tex]

[tex]\sf\longrightarrow \boxed{\red{\sf y = 17.5 }} [/tex]

Ricardo wants to rent a personal watercraft for a beach party. Wavy Dave's charges $17.50 per hour plus a $20 fuel fee. Sun'N'Fun charges $15.00 per hour, plus a $30 fuel fee. After how many hours will Sun'N'Fun be cheaper than Wavy Dave's?
A. Sun'N'Fun is cheaper than Wavy Dave's after 4 hours.
B. Sun'N'Fun is cheaper than Wavy Dave's after 8 hours.
C. Sun'N'Fun is never cheaper than Wavy Dave's.
D. Sun'N'Fun is always cheaper than Wavy Dave's.

Answers

Sun'N'Fun is cheaper than Wavy Dave's after 4 hours.

Let y represent the total renting fee for x hours.

Wavy Dave's charges $17.50 per hour plus a $20 fuel fee. Hence:

y = 17.5x + 20

Sun'N'Fun charges $15.00 per hour plus a $30 fuel fee. Hence:

y = 15x + 30

For Sun'N'Fun to be cheaper than Wavy Dave's:

15x + 30 < 17.5x + 20

10 < 2.5x

4 < x

x > 4

Hence,  Sun'N'Fun is cheaper than Wavy Dave's after 4 hours.

Find out more at: https://brainly.com/question/13911928

An adventure race is 9.75 mi long. The race is divided into equal sections. Each section is 0.75 mi long. The race organizer needs 4 volunteers in each section. How many volunteers does the race organizer need? Show your work.

Answers

Step-by-step explanation:

9.75/.75 = 13

which means the race is divided into 13 equal section according to the question in which each section is 0.75 m long.

as 4 volunteers are needed in each section

so keeping this in mind 13×4 = 52

therefore, 52 volunteers race organizer need.

hope this answer helps you dear! take care

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!7

Answers

Answer:

I think B is the answer

Step-by-step explanation:

Pls make me brainliest

Imsureeeeeeee123

the answer is D) -1
hope this helps

What is the quotient of 4/5 divided by 1/3?
:

Answers

Answer:

2.4

Step-by-step explanation:

4/5 / 1/3

4/5 x 3/1

4/5x3/x1 = 12/5

22/5

12/5 = 2.4

is 3/4 greater than 1? i need help please

Answers

No it is not. 3/4 as a decimal is 0.75, thus making it less than 1.

Answer:

No.

Step-by-step explanation:

3/4 = 0.75.

=> 0.75 < 1

Hoped this helped.

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