Mathematics High School

Which function represents the exponential function f(x) = 34 after a vertical stretch by a factor of 8 and a reflection across the x-axis?

A. g(x) = 3^-8x

B. g(x) = -3^8x

C.g(x) = 8.3-*3^-x

D. g(x) = -8*3^x

Answers

Answer 1

Answer:

D

Step-by-step explanation:-8×3x represents a vertical strech by a factor of

8 and a reflection across the x-axis.

The answer is D.

Related Questions

I NEED HELP I NEED TO PASS THIS

Answers

Answer:

A. the area of the large pond is 16 times the area of the small pond

Step-by-step explanation:

let's say 4 is the radius of the small circle, which means the area is 50.26548

if the large circle is 4 times the small circle, that means it's radius is 16 which means the area is 804.24772

so if you divide the big circle area by the small circle area:

804.24772/50.26548

it gives you 16.00000079577 which is rounded to 16

therefore, the bigger circle is 16 times bigger than the smaller circle

Does this line represent a function? Yes or no

Answers

Answer:

Yes

Step-by-step explanation:

The line is straight, showing a linear relationship between x and y.

Answer:

yes this does represent a funtion

Step-by-step explanation:

because if we use the vertical line test where you get a pencil and put it the graph verticaly any where thier is no points on the graph that toch the pencil twice

Jason jumped off a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function h ( t ) = − 16 t 2 + 16 t + 480 h(t)=−16t 2 +16t+480, where t is the time in seconds and h is the height in feet. What is the maximum height that Jason reaches?

Answers

Answer:

484feet

Step-by-step explanation:

If the height as a function of time could be modeled by the function h(t)=−16t^2 +16t+480, where t is the time in seconds and h is the height in feet.

The maximum height of Jason occurs when dh/dt = 0 (velocity is zero)

dh/dt = -32t + 16

0 = -32t + 16

32t = 16

t = 16/32

t = 1/2

t = 0.5secs

Get the maximum height

Recall that h(t)=−16t^2 +16t+480

Substitute t = 0.5

h(0.5)=−16(0.5)^2 +16(0.5)+480

h(0.5) = -4 + 8 + 480

h(0.5) = 4 + 480

h(0.5) = 484

Hence the maximum height reached by Jason is 484feet

The maximum height that Jason reaches is h =  484 feet and it will be reached at t = 0.5 sec.

How to find the maximum of a polynomial function?

Let the function be denoted by [tex]y = f(x)[/tex]

If it is twice differentiable, then, firstly, we differentiate it with respect to x and equate with 0 to find the critical values.

Let the obtained critical values be [tex]x_1, x_2, ... x_n[/tex]

The second derivative of that function is then evaluated on those critical values.

The [tex]i^{th}[/tex] critical value has got the maximum if [tex]f''(x_i) < 0[/tex]

That means, if at  [tex]x = x_i[/tex] , we get

[tex]f'(x-i) = 0\\and\\f''(x_i) < 0[/tex]

Then that point is where function will have maximum.
If [tex]f''(x_i) > 0[/tex], then the point where the function will have minimum

If value of second rate at point [tex]x_i[/tex] is 0, then we go for third rate of function and check the same facts so on for upper rate(if they exist).

For the given case, we're given the height function as:

[tex]h(t) = - 16t^2 + 16t + 480[/tex]

The function is infinitely differentiable as its polynomial(by a theorem).

Its first and second rate with respect to 't', we get;

[tex]h(t) = - 16t^2 + 16t + 480\\h'(t) = -32t + 16\\h''(t) = -32 < 0[/tex]

Thus, all critical points will be maximum points.

The critical points are evaluated by [tex]h'(t) = 0[/tex]

They are calculated as:

[tex]h'(t) = 0\\-32t + 16 = 0\\t = 0.5 \: \rm sec[/tex]

The height at t = 0.5 s is evaluated as:

[tex]h(0.5) = - 16(0.5)^2 + 16(0.5) + 480 = 484 \: \rm feet[/tex]

Thus, at time 0.5, the height function will be at its maximum value(484 feet). That means, the height of Jason will be maximum when time will be 0.5 seconds from initial time.

Learn more about maximum and minimum values here:

https://brainly.com/question/13333267

Which one should I choose?

Answers

Answer:

∠ 1 = 58°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

117° is an exterior angle of the triangle, then

∠ 1 + 59° = 117° ( subtract 59° from both sides )

∠ 1 = 58°

Hey can you help me fast!!!

Answers

Answer:

40 square feet

Step-by-step explanation:

I gotcha bro

4 x 12 = 48

48 - 3 x 2 - 1 x 2 = 48 - 6 - 2 = 40

Use the 45-45-45-90 triangle relationship to find the missing sides

Answers

Answer: A is 8. B is the square root of 128.

Step-by-step explanation: Nah.

In a study of the television viewing habits of children, a developmental psychologist selects a random sample of 300 first graders - 100 boys and 200 girls. Each child is asked which of the following TV programs they like best: The Lone Ranger, Sesame Street, or the Simpsons.

Complete your work in the space provided or upload a file that can display math symbols if your work requires it. Include your calculations and the completed table in your answer.

Answers

Answer:

50, 130, 30, 60

Step-by-step explanation:

For the boys row (Simpsons)-20

For the girls row (Simpsons)-70

For the girls row (Lone Ranger)-50

For the total of Sesame Street- 110

Hope this helped!

Can someone answer this soon please

Answers

Answer:

the last one i think

Step-by-step explanation:


Anyone know how to answer this mathematics question?

Answers

Answer:

B: (-2,-8)

Step-by-step explanation:

(-2,-8) works because (-2-5)^2 + (-8+11)^2 = 49 + 9 = 58

PLEASE HELP ASAP NO LINKS PLEASE A relationship between education and income is given in the table. Based on the data, how much more does a person with a bachelor's degree earn than a person with a high school diploma over the course of 15 years?

A)$387,075
B)$398,730
C)$753,585
D)$785,805

Degree of education Income
High school diploma $26,582
Associate's degree $37,955
Bachelor's degree $52,387
Master's degree $59,995
Doctoral degree $76,821

Answers

i think it’s c because i did the same test so good luck

What is the integer closest to the square root of 17

Answers

Answer:

4

Step-by-step explanation:

[tex]\sqrt{16}[/tex] = 4

Answer:

4.

Step-by-step explanation:

The square root of 17 is 4.12...

square root of 16 is 4

Please help.

For math class

Answers

Answer:

x = 30, z = 45, y = 105

Step-by-step explanation:

The lines are straight, so:

x = 30

z = 45

y = 180 - (45 + 30)

So there

Also can anyone help with these problems too?

Answers

Answer:

6. a

------

7. b

------

8. d

------

9. d

------

factor: 18x²+39y-15=0 ​

Answers

Answer: x = 6

y= 6x2/13 + 5/13

Step-by-step explanation: to solve for and y: Isolate the variable by dividing each side by factors that don't contain the variable

can you please answer these questions​

Answers

1. 7/12
2. 5/8
3. 1/4
4. 5/24

Reduce your fraction into lowest terms.

​

Answers

21/35= 3/5 this is the lowest fraction

three teams a,b,c play in a competition
games won by a : games won by b = 3:1
games won by b :games won by c= 5:1
team b has won 10 games
in total how many games have the three teams won

Answers

Answer:

25:2

Step-by-step explanation:

The answer of the question

Answers

Answer:

123cm

Step-by-step explanation:

becuse

Consider this equation.
tan() = -1
If & is an angle in quadrant II, what is the value of sin()?
ΟΑ. .
5734
34
5734
34
ОВ.
O c.
3V34
34
3V34
34
D.

Answers

Answer:

I know u saw me before but the answer is B hope it helps! =)

Answer:

the 5v34 without the minus sign

Step-by-step explanation:

if you start at 89 degrees and it decreases 5% each hour what would it be at in 3 hours

Answers

Answer:

A = 76.3 degrees after 3 hours

Step-by-step explanation:

An exponential function is needed here:

A = P(1 - 0.05)^3, where this (1 - 0.95) reflects a DECREASE of 5%/hour.

Then:  A = (89 degrees)(0.95)^3, or

           A = 76.3 degrees after 3 hours

For every 4 of my wonderful nieces, I want to buy 5 Friendly cupcakes. And I have 12 wonderful nieces.

Answers

Answer:

15 cupcakes

Step-by-step explanation:

I'm guessing you mean that you want to find out how many cupcakes you'll need to buy.

If h(x) = 2x² - 5 find h(4x²)​

Answers

Answer:

8x^4-5

Step-by-step explanation:

8x^4-5

Just substitute 4x^2 into x

Answer:

= 32x^4-5

Step-by-step explanation:

Mhanifa please help this is due soon

Answers

Answer:

(27)

Rectangle

Interior angles are all 90°

5x - 3° = 90° 5x = 93° x = 93°/5 x = 18.6° (28)

Rhombus

All sides are congruent

14 - x = 2x + 5 2x + x = 14 - 5 3x = 9 x = 3 (29)

Square

Diagonals are perpendicular

13x + 5.5° = 90° 13x = 84.5° x = 84.5°/13 x = 6.5°

Can someone answer this for me please?

Answers

x2+8 so the second one Step-by-step explanation:

Emily and her friends pick 27 lb of blueberries each pound of blueberries contains 195 blueberries how much blueberries been Emily and her friends pic ​

Answers

Given: 195 blueberries = 27 pounds
To find: How much Emily picked for her friends
Solve: Since 1 pound of blueberry is 195, Multiply 195 by 27
195 * 27 = 5265
Hence, Emily picked 5265 blueberries for her and her friends

Neeed helps math help no links or imma report helps 20 points

Answers

the answer to the question u asked is A

Determine which number is a solution to the inequality.

Answers

Answer:

0

Step-by-step explanation:

j + 8 <= 8

Subtract 8 from both sides.

j <= 0

Answer: 0

How to find Gradient and y intercept

Answers

Gradient:

Find two points on the line and with those two points, calculate the difference in height(y coordinates) divided by the difference in width(x coordinates). If you get a positive value, then your line will be uphill.

Y-intercept:

Use y=mx+b
Find the slope first using the slope formula which is y2-y1 OVER x2-x1. Once you have that, take a point from the line and substitute the x and y coordinates along with the slope into y=mx+b.

So if your slope was 2/1 and your point was (4,8), it would be:

8=2(4)+b
8=6+b
*subtract 6 from both sides*
b=2

I need help on this, please help​

Answers

Answer:i tihnk football is .45 and tennis is .18?

Step-by-step explanation:

i dont know if this is right but im pretty sure it is

Please help! I will give you 'Brainliest' if you do!

Answers

Answer:

C   $126,720

Step-by-step explanation:

First hour: 1280 tickets

Second hour: 20% more than 1280 tickets

20% of 1280 = 0.2 * 1280 = 256

1280 + 256 = 1536

Second hour: 1536 tickets

First & second hour tickets:

1280 + 1536 = 2816

Total sales:

2816 * $45 = $126,720

Answer: C   $126,720

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