Analyze the effects on the graph of f(x) = 10% that result from the parameter
changes in the function, h(x) = 5(10)*2 +6. Explain how each transformation
appears in the equation and its effect on the original function, R(x) = 10%. Be
sure to use mathematical language in your explanation.

Analyze The Effects On The Graph Of F(x) = 10% That Result From The Parameterchanges In The Function,

Answers

Answer 1

Answer:

Step-by-step explanation:

Parent function has been given as,

f(x) = [tex]10^x[/tex]

If this function is vertically stretched by a scale factor 5,

g(x) = k[f(x)]

g(x) = [tex]5(10)^x[/tex]

Then function 'g' is shifted right by 2 units, new function will be,

k(x) = g(x-2)

k(x) = [tex]5(10)^{x-2}[/tex]

Finally the function 'k' is shifted up by 6 units, then the function 'h' will be,

h(x) = k(x) + 6

h(x) = [tex]5(10)^{x-2}+6[/tex]


Related Questions

Name the three labeled segments that are parallel to EF

Answers

Answer:

Answer D

Step-by-step explanation:

The answer here is D since all of the other ones have at least one option that is perpendicular to segment EF.

What is the product?
4
-2
1
6
7
30

Answers

Answer:

-2

Step-by-step explanation:

What is the slope of the graph shown below?


A. -2
B. 2
C. -5
D. 5​

Answers

i think it’s -2 but i’m 80% sure it is

I need help. someone help me and quick,!

Answers

Answer:

true

Step-by-step explanation:

because 25+11 = 36

______

This is Trueee
……………………….

Can anybody help me out on this? Thanks.

Answers

Answer:

[tex]x = 3[/tex]

Step-by-step explanation:

Given

[tex]y = -2x^2 + 12x +7[/tex]

Required

The x coordinate of the vertex

Using the general form:

[tex]y = ax^2 +bx +c[/tex]

The x coordinate is:

[tex]x = -\frac{b}{2a}[/tex]

In [tex]y = -2x^2 + 12x +7[/tex]

[tex]a = -2[/tex]

[tex]b = 12[/tex]

[tex]c = 7[/tex]

So, we have:

[tex]x = -\frac{b}{2a}[/tex]

[tex]x = -\frac{12}{2*-2}[/tex]

[tex]x = -\frac{12}{-4}[/tex]

[tex]x = \frac{12}{4}[/tex]

[tex]x = 3[/tex]

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer:

16 yd

Step-by-step explanation:

If a is missing, then use the square root of c^2-b^2. In this case that means you find the square root of 20^2-12^2. 20^2 is 400, and 12^2 is 144. When you subtract 144 from 400 you get 256. The square root of 256 is 16. I hope this helps :)

Answer:

16

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a leg b is another leg c is the hypotenuse

Step-by-step explanation:

Step 1: Define

Identify variables

Leg a = a

Leg b = 12

Hypotenuse c = 20

Step 2: Solve for a

Substitute in variables [Pythagorean Theorem]:                                            a² + 12² = 20²Evaluate exponents:                                                                                         a² + 144 = 400[Subtraction Property of Equality] Isolate a term:                                           a² = 256[Equality Property] Square root both sides:                                                    a = 16

Assuming the population is normally distributed, find the probability P(x>4.5) given the mean is 6 and the standard deviation is 0.7

Answers

Answer:

[tex]P(x > 4.5)= 0.983943[/tex]

Step-by-step explanation:

Given

[tex]\mu = 6[/tex]

[tex]\sigma = 0.7[/tex]

Required

[tex]P(x > 4.5)[/tex]

Start by calculating the z score

[tex]z = \frac{x - \mu}{\sigma}[/tex]

So:

[tex]z = \frac{4.5 - 6}{0.7}[/tex]

[tex]z = \frac{-1.5}{0.7}[/tex]

[tex]z = -2.143[/tex]

So, we have:

[tex]P(x > 4.5)= 1 - P(x < 4.5)[/tex]

This gives:

[tex]P(x > 4.5)= 1 - P(x < z)[/tex]

[tex]P(x > 4.5)= 1 - P(x < -2.143)[/tex]

Using the z score probability table, we have:

[tex]P(x > 4.5)= 1 - 0.016057[/tex]

[tex]P(x > 4.5)= 0.983943[/tex]

Jayda takes her dog Rolo to obedience training once each week. Jayda bought a box of 96 dog treats and split them evenly into b bags. Each bag contains 16 treats.

Write an equation to describe this situation.

How many dog bags of treats does Jayda have?

Answers

She has 6 bags of dog treats

Solve for V . -2(v+1)=3v-17 Simplify your answer as much as possible.

Answers

Answer:

v = 3

Step-by-step explanation:

You can start by distributing -2:

-2v - 2 = 3v -17

Next, add 2v to both sides to combine the v terms:

-2v - 2 = 3v - 17

+2v        +2v

-2 = 5v - 17

To isolate the v term, we add 17 to both sides:

-2 = 5v - 17

+17       +17

15 = 5v

Lastly, divide by 5 to get v:

15 = 5v

÷ 5    ÷5

3 = v --> v = 3

love yall again thx for the help

Answers

Answer :

Cost of running shoes = $92

Cost of total expenditure = $122

It is given that the four pairs of socks cost the same so if we let the cost of one pair of socks as s then 4 pairs of socks will cost us $ 4s

Thus the equation formed will be ,

4s + 92 = 122

Option D is the correct answer

Marsha wants to determine the vertex of the quadratic function f(x) = x2 – x + 2. What is the function’s vertex?

(one-half, seven-quarters)
(one-half, three-halves)
(1, 1)
(1, 3)

Answers

Answer:

[tex]Vertex = (\frac{1}{2},\frac{7}{4})[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^2 - x +2[/tex]

Required

The vertex

We have:

[tex]f(x) = x^2 - x +2[/tex]

First, we express the equation as:

[tex]f(x) = a(x - h)^2 +k[/tex]

Where

[tex]Vertex = (h,k)[/tex]

So, we have:

[tex]f(x) = x^2 - x +2[/tex]

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

Take the coefficient of x: -1

Divide by 2: (-1/2)

Square: (-1/2)^2

Add and subtract this to the equation

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

[tex]f(x) = x^2 - x +2[/tex]

[tex]f(x) = x^2 - x + (-\frac{1}{2})^2+2 -(-\frac{1}{2})^2[/tex]

[tex]f(x) = x^2 - x + \frac{1}{4}+2 -\frac{1}{4}[/tex]

Expand

[tex]f(x) = x^2 - \frac{1}{2}x- \frac{1}{2}x + \frac{1}{4}+2 -\frac{1}{4}[/tex]

Factorize

[tex]f(x) = x(x - \frac{1}{2})- \frac{1}{2}(x - \frac{1}{2})+2 -\frac{1}{4}[/tex]

Factor out x - 1/2

[tex]f(x) = (x - \frac{1}{2})(x - \frac{1}{2})+2 -\frac{1}{4}[/tex]

[tex]f(x) = (x - \frac{1}{2})^2+2 -\frac{1}{4}[/tex]

[tex]f(x) = (x - \frac{1}{2})^2+ \frac{8 -1 }{4}[/tex]

[tex]f(x) = (x - \frac{1}{2})^2+ \frac{7}{4}[/tex]

Compare to: [tex]f(x) = a(x - h)^2 +k[/tex]

[tex]h = \frac{1}{2}[/tex]

[tex]k = \frac{7}{4}[/tex]

Hence:

[tex]Vertex = (\frac{1}{2},\frac{7}{4})[/tex]

Question: Marsha wants to determine the vertex of the quadratic function f(x) = x2 – x + 2. What is the function’s vertex?

Answer:  A or 1/2 , 7/4

Step-by-step explanation:

did it on an assignment on EDGE

Plz help It’s important

Answers

Answer:

do 24 points i know it very well


A bag contains 5 red marbles, 6 blue marbles and 9 yellow marbles.
What is the probability of picking out a red marble, putting in back in the bag, and then picking out a yellow marble?
What is the probability of picking out a blue marble, putting it in your pocket, and picking out another blue marble?

Answers

Answer:

Step-by-step explanation:

The total number of marbles is 20

Question A

P(Red) = 4/20 = 1/5

P(yellow) = 9/20

P(Red then Yellow) = 1/5 * 9/20 = 9 / 100

Question B

P(B) = 6/20

P(B again) = 5/19 because you  have 1 less total plus 1 less blue.

P(B and B) = 6/20 * 5/19

P(B and B) = 30/ 380 = 3/38

Que sucede cuando dividimos un numero entre si mismo

Answers

Answer:

no pasa nada

Step-by-step explanation:

espero que eso te ayude:)

Answer:

Cualquier número dividido entre si mismo da como resultado 1

Find the circumference of a circle with a radius of 13.5 mm.

Answers

Answer:

84.82

Step-by-step explanation:

Answer: 84.82

Step-by-step explanation:

A store randomly samples 603 shoppers over the course of a year and finds that 142 of them made their visit because of a coupon they'd received in the mail. A 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694)

Required:
Construct a 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail.

Answers

Answer:

The 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

A store randomly samples 603 shoppers over the course of a year and finds that 142 of them made their visit because of a coupon they'd received in the mail.

This means that [tex]n = 603, \pi = \frac{142}{603} = 0.2355[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 - 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2016[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 + 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2694[/tex]

The 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694).

Which of the following equations have the same solution as 3x - 5 = 5x + 11

Answers

Answer:

x = -8 Hope that helps bye!

Step-by-step explanation:

1. Subtract 3x from both side -5=5x+11-3x

2. Simplify 5x+11-3x= 2x+11

3. Subtract 11 from both sides -5-11=2x

4. Simplify -5-11= -16=2x

5. Divide both sides by 2 -16/2=x

4. Simplify 16/2 = -8 = x

5. Switch sides x= -8 would be your answer and if you want to check it just do 3x-5=5x+11 let x=-8  1. 3×-8-5=5×-8+11

2. 3×-8= -24 do -24-5=5×-8+11

3. Simplify 5×-8= -40 do -24-5=-40+11

4. Simplify -24-5= -29 do -29= -40+11=-29

-29=-29 this shows that x= -8 is your answer if you want to see if I'm right.

ANSWER FAST I JUST NEED ANSWER

Answers

Answer: 18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

The graph shows 180 pages on it, and if you go over and down then it shows chapter 18.

how many cubic units are there in one layer​

Answers

Answer:

24 cubic units

Step-by-step explanation:

In the figures above it has 24 cubic units in one layer and it has 8 layers. If you are going to count the total number of cubic units the figure it has 192 cubic units which represent the volume of this figure. If you can still remember that volume of rectangular prism is the productvof its length width and height.

mark me as brainlest

Question 3 (4 marks)
A certain retail outlet found that 40% of all customers walking into their store will buy at least one item on
that occasion. Customers make a purchase independently from one another. Calculate the following
probabilities correct to 4 decimal places.
3.1. (2 marks) What is the probability that one or two out of the next four customers will make a purchase?
3.2. (2 marks) What is the probability that at least one out of the next four customers do not make a purchase?​

Answers

Answer:

3.1 0.6912 = 69.12% probability that one or two out of the next four customers will make a purchase.

3.2 0.9744 = 97.44% probability that at least one out of the next four customers do not make a purchase

Step-by-step explanation:

For each customer, there are only two possible outcomes. Either they make a purchase, or they do not. The probability of a customer making a purchase is independent of any other customer. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

40% of all customers walking into their store will buy at least one item on that occasion.

This means that [tex]p = 0.4[/tex]

4 customers:

This means that [tex]n = 4[/tex]

3.1 What is the probability that one or two out of the next four customers will make a purchase?

This is:

[tex]P(1 \leq X \leq 2) = P(X = 1) + P(X = 2)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{4,1}.(0.4)^{1}.(0.6)^{3} = 0.3456[/tex]

[tex]P(X = 2) = C_{4,2}.(0.4)^{2}.(0.6)^{2} = 0.3456[/tex]

So

[tex]P(1 \leq X \leq 2) = P(X = 1) + P(X = 2) = 0.3456 + 0.3456 = 0.6912[/tex]

0.6912 = 69.12% probability that one or two out of the next four customers will make a purchase.

3.2. What is the probability that at least one out of the next four customers do not make a purchase?​

This is:

[tex]P(X \leq 4) = 1 - P(X = 4)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{4,4}.(0.4)^{4}.(0.6)^{0} = 0.0256[/tex]

[tex]P(X \leq 4) = 1 - P(X = 4) = 1 - 0.0256 = 0.9744[/tex]

0.9744 = 97.44% probability that at least one out of the next four customers do not make a purchase

What is the equation of a line that passes through (-2, 4) and has a slope of 3?

Answers

Equation,

[tex]y - y1 = m(x - x1)[/tex]

Plugging in our values,

[tex]x1 = - 2, \: y1 = 4, \: m = 3[/tex]

[tex]y - 4 = 3(x - ( - 2))[/tex]

[tex]y - 4 = 3(x + 2)[/tex]

So the equation is,

[tex]y - 4 = 3(x + 2)[/tex]

eeeeeeeeeeeeeeeeeeeeeeehhhheelllllllpppppppppp

Answers

Answer:

2/3

Step-by-step explanation:

My brain is too big

Answer:

2/3

Step-by-step explanation:

Calculate the total amount paid for a stock if you purchased 350 shares of the stock at $21.50 per share
the broker's commission is $40 + $0.20/ share
O $7595
O $7635
0 $7525
O $7000

Answers

Answer:

7635

Step-by-step explanation:

350(.2+21.5)+40=7635

Answer:

7525

Step-by-step explanation:

you have to multiply

Help please
2) The table below represents a linear function.
Find the missing value.
A) 4.2
B) 4.4
C) 4.6
D) 4.8
E) 5.0

Answers

Answer:

C. 4.6

Step-by-step explanation:

If you subtract 3.0 from 1.4 you get 1.6, which is the can be added to 3.0 to find the missing value.

PLssssssssssssssssssssss help.

Answers

D is answer you please

Find the surface area of the rectangular prism

Answers

I believe it would be 242 cm^2

The recommended adequate intake (RAI) of calcium for adults is 1000 mg. per day. To investigate the calcium intake of people living below the poverty level, a researcher obtained a random sample of 18 adults below the poverty level and found a mean daily calcium intake of 947.4 mg.

Required:
a. Determine the margin of error
b. Find 95% confidence interval fo rthe population mean
c. Interpret the confidence inteval. ( explain what it tells us about the estimated mean daily camlium intake for the population).

Answers

Answer:

93.50

(853.90 ; 1040.90)

Step-by-step explanation:

Mean, xbar = 947.4 mg

Sample size, n = 18

σ = 188

Margin of Error :

Tcritical * σ/√n

TCritical at 95% , df = n - 1 = 17 = 2.11

Margin of Error = 2.11 * 188/√18 = 93.50

The 95%, confidence interval :

Xbar ±Margin of error

Lower boundary = Xbar - margin of error

Lower boundary = 947.4 - 93.50 = 853.90

Upper boundary = Xbar + margin of error

Lower boundary = 947.4 + 93.50 = 1040.90

(853.90 ; 1040.90)

need help plz help me out i have a bad grade rn

Answers

Answer:

I only know the second part sorry

9.35

Step-by-step explanation:

3(9)÷4+2.6=

27÷4+2.6=

6.75+2.6=

9.35

Write the expression 53.7124 x 10 x 3 as a single number.

Answers

Answer:

The aswer is buy a rabbit

Step-by-step explanation:

Answer:

1611.372

Step-by-step explanation:

Plssss help I’ll mark u brainliest!!!

Answers

Answer:

The answer to the question is C

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