The tablet below represents ordered pairs that satisfy the functions f(x) and g(x). If f(x)=4x, which statements are true of g(x)? Select two options

The Tablet Below Represents Ordered Pairs That Satisfy The Functions F(x) And G(x). If F(x)=4x, Which

Answers

Answer 1
B and D are the correct answers.
Answer 2

By looking at the table, we can see that the value for g(x) is always f(x)-1. Thus we can conclude that

[tex]g(x) = 4^x-1[/tex]

Now, think about the graph. For every value of y in f(x), the value of y in g(x) will be reduced by one. This means that the graph is translated down 1 unit!

The domain of both functions is actualy the same, that is, [tex]x\in\mathbb{R}[/tex].

However, the range won't be the same. As [tex]x[/tex] approaches negative infinity, the exponentials always approaches zero. Thus, f(x) has range between zero and positive infinity. But, for g(x), we are subtracting one unit from the Y values, therefore the range will be between negative one and positive infinity. In conclusion, their range is different.

Overral: The true statements are the second and the fourth only


Related Questions

-2(3x - 1) = -6x -1 does it have one Solution, no Solution, or infinite Solutions

Answers

Answer:

None

Step-by-step explanation:

Please, can someone help me on math? Struggling a bit.

Answers

to find the perimeter you just multiply the numbers for example

for number one just multiply 4 and 6 which is 24

Select all ratios equivalent to 3:2.

2:12 18:14 27:18

Answers

Answer:

27:18.

Step-by-step explanation:

27/9 = 3

18/9 = 2

Answer:

27:18

more equivalent ratios:

6 : 4

21 : 14

there are 30 students in class. 18 of them are wearing plaid. what percentage of students are wearing plaid for spirit week?

Answers

Answer:

The answer is 5.4%

Step-by-step explanation:

30 of 18 is 5.4

A teacher reaches into a bag of game pleces containing 5 black pleces, 3 purple pleces, 1 orange plece, and 6 green pleces, He draws 2 pleces, setting aside the first
plece before drawing the second. What is the probability that at least one of the drawn pleces ls purple?

Answers

Answer:

3/15

Step-by-step explanation:

The probability of choosing a purple piece is 3/15, choosing an orange piece will be 1/15, that of black pieces is 5/15 and that of choosing a green piece is 6/15.
This would be PP + PW+ PG + PB +WP +GP + BP
= (3/15 × 2/14) + (3/15×1/14)+(3/15×6/14) +(3/15+5/14)+(1/15×3/14) + (6/15× 3/14) + (5/15 × 3/14)
= 6/210 +3/210 +18/210+15/210+3/210 +18/210+ 15/210
= 78/210
= 13/35

The color reference provided by the automotive manufacture is 44.21%. Does this known value match the measured value at the 95% confidence level

Answers

Answer:

This known value does not match the measured value at the 95% confidence level.

The 95% confidence interval for value is calculated as 42.92 to 43.78%,

Step-by-step explanation:

The complete question is:

Police have a hit-and-run case and need to identify the brand of red auto paint. The percentage of iron oxide, which gives paint its red color, was determined to be 43.35 ± 0.33% by one method of analysis using five measurements. The color reference provide by the automotive manufacture is 44.21%. What can you conclude about whether the sample matches the reference at a 95% confidence level?

Student's t test is used to compare the two values .

Here n=5

Degrees of freedom =ν= n-1= 5-1=4

The value from t- table for 4 d.f at 95 % confidence interval is 2.776

The test statistic is

x`± t ∝/2(v). S/√n

43.35 ± (2.776)(0.33)/√5

= 43.35 ± 0.43

= 43.78, 42.92

Here the 95% confidence interval for μ calculated is 42.92 to 43.78%, where as color reference provided by the automotive manufacture is 44.21%.

This known value does not match the measured value at the 95% confidence level.

Six oranges cost $.90. How much will 9 oranges cost?

Answers

Answer: 1.35

Step-by-step explanation:

if:

6 oranges cost............................0.90 dollars

9 oranges will cost....................................?

(9*0.90)/6=1.35 dollars

HELP! WILL GIVE BRANLIEST!
(Question 12!)

Answers

Answer: c you welcome , also thx for points let me know how it feel failing your test

Step-by-step explanation:

A supporting wire is attached to a tree at a height of 45 feet from the ground. If the length of the wire is 51 feet, what is the distance between the base of the tree and the foot of the wire?

Answers

Answer:

51 - 45 = 6 feet


Select the point on the graph that matches the value of
20/9

Answers

Answer:

The dot just past 2.

Step-by-step explanation:

It's the dot right next to 2,

2.2

HELPPPPPPPPPPPP]PPPPPP​

Answers

I can’t really see it

Answer:

If Cora runs 1/2 mile per week and x is the number of weeks, then she will run 5+1/2x. Then determine how many weeks are in two and a half months (depends on which month it is as there are less weeks in February than in January!) but we could estimate 6.

For Hana, you will have 3+ 3/4 x First equation is y=5+1/2 x and then plug 6 in for x to solve for y. the second equation is y=3+3/4x and plug in 6.

Step-by-step explanation:

First equation is y=5+1/2 x and then plug 6 in for x to solve for y. the second equation is y=3+3/4x and plug in 6.

A = 2lw – 21h + 2 wh
Solve for h

Answers

answer: h=-21w+a
explanation: I saw the answer somewhere and they said it was write but I don’t know the steps I’m sorry.

37) True or False: A high school principal surveys the community about the high school's basketball program.
The school sends surveys to 5,000 households and receives 120 forms back. This is an example of nonresponse.

Answers

Answer:

true

Step-by-step explanation:

Answer the following question

Answers

Answer:

f(-8) = 54

Step-by-step explanation:

To start, replace x in the equation with -8. This will give you f(-8) = 6(1 - (-8)) which can be simplified to f(-8) = 6(1 + 8). Apply the distributive property on the right side of the equation to get f(-8) = 6 + 48. When simplified, you get f(-8) = 54.

In slope-intercept form, write the equation of the line passing through the points (-4,1) and (-3,2).

Answers

Answer:

the points are starting at 5y and the slope line goes up to (6, 1) and goes down to (-1, 4 ), (-2, 3), (-3, 2) and (-4, 1) The graph has 1x +5

going to desmos to graph it out you can see the slpe line going through (-4, 1) (-3, 2)

Write a subtraction fact that will give the same difference as 15-7.

Answers

Answer:

9-1

Step-by-step explanation:

Well, 15-7 is 8. We can create an simple subtraction problem for this such as...

9-1=8

I hope this helped....have a nice day ❤

what is the value of the following expression: f^-1(f(x))

Answers

B is the answer to you question

The required simplified value of the f⁻¹(f(x)) is given as x.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Property of function states that function of function would be x, if the last function is an inverse function of its substituting function or vice versa. So,

f⁻¹(f(x)) = f(f⁻¹(x)) = x

Thus, the required simplified value of the f⁻¹(f(x)) is given as x.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2


need help please help me if u can hlp me

Answers

Answer:

your b in y=mx+b is +3

Step-by-step explanation:

Given congruent triangles ΔABC ≅ΔDEF where AB = 11, BC = 5, and DE = 6x-7. Find the value of x.

Answers

Answer: Congruent angles are angles that have the same measure. ... y = 67 x = 180 – 67 = 113. 2. x = ______ y = ______. 3x – 5 = 127. +5 +5. 3x = 132 ... Find the measure of the angle and give the reason for knowing it. ... Solve for the unknown values: ... 2) AD. 3) AB. 4) BC. 24. In ΔABC, If CA ≅ CB and m∠A = 50, find the m∠B.

Answer:

x = 3

Step-by-step explanation:

Since the triangles are congruent then corresponding sides are congruent, that is

DE = AB , substitute values

6x - 7 = 11 ( add 7 to both sides )

6x = 18 ( divide both sides by 6 )

x = 3

Is your height the best unit of measure

Answers

Answer: No. It may change, and other people who need an exact length will not know what that is, so the number of "yourheights" is useless.

Step-by-step explanation:

what is 16 - 2t = t + 9 +4t

Answers

Answer:

t=1

Step-by-step explanation:

16-2t = t + 9 +4t

combine like terms

16-2t = 5t + 9

add 2t to both sides

16-2t+2t = 5t+9+2t

combine like terms

16=7t+9

subtract 9 from both sides

16-9=7t+9-9

combine like terms

7=7t

divide both sides by 7

t=1

Answer:

16=t+9+4t+2t

16=9+7t

16-9=7t

7=7t

t=1

The total delivery charge for delivering 4 pizzas is $9.00. At this same rate, how much would the total delivery charge be for delivering 12 pizzas?

Answers

Answer:

27

Step-by-step explanation:

9.00 divided by 4 = 2.25

2.25 x 12 = 27

Answer:

$27

Step-by-step explanation:

First, you would take 12(amount of pizzas the question is asking) divided by 4(amount of pizzas) and get 3

Then you multiply $9.00(the delivery fee for 4 pizzas) by 3(how much pizzas the question is asking divided by 4) and get $27

12 divided by 4 = 3

3 times $9.00 = $27

Which of the following expressions are equivalent? I. 10(k + 4) II. 10k + 40 III. 5(2k + 8)
2 points
A) I and II only
B) I and III only
C) II and III only
D) I, II, and III

Answers

Answer:

The answer is D.

Step-by-step explanation:

1. 10(k+4) → 10•k + 4•10 → 10k+40

2. is how it is

3. 5(2k+8) → 5•2k + 5•8 → 10k+40

so it's 1,2,&3

The answer is c I took the test and got it right

geometry :

find the measure of the exterior angle

Answers

Answer:

45

Step-by-step explanation:

i believe its 45 or 55

Answer:

92°

Step-by-step explanation:

(2x - 2)° = x ° + 45°

(2x - 2 - x)° = 45°

(x - 2)° = 45°

x - 2 = 45

x = 45 + 2

x = 47

(2x - 2)° = (2*47 - 2)° = (94 - 2)* = 92°

How do I solve this ?

Answers

Answer:

See attachment :D

Step-by-step explanation:

y = 2/3x + 2

This is in slope-intercept form, y = mx+b. m is the slope, 2/3, and b is the y- intercept, 2. So you know the line intersects with the y-axis at (0,2). The slope is 2/3. So you can move up two points, then over three. Because it's a positive slope, you move right. This leaves you at point (0,3). Connect a line between these two points.

The line intersects with points (-3,0) and (0,2).

Hope this is helpful ^^ Good luck with your test :D

Please help!!! I need help

Answers

Answer:

Step-by-step explanation:

What the hell is that oh no I am not doing that

Brainliest

Does changing the compound inequality x>-3 and x<3 from and" to or change the soluion set? Explain

Answers

Answer:

Yes

Step-by-step explanation:

If you look at it. X is basically -2, -1, 0, 1, or 2.

Hope I helped and Pls Mark Brainliest

Find the slope and standard form of the line that passes through the points (3,6) and (4,5)

Answers

Answer:

Slope = -1

Step-by-step explanation:

6-5/3-4=-1

(can I get brainliest please)

Find the value of x.
16
3x-4
a. 4
b. 8
C.
6.6
d. 6

Answers

the answer is C
3x-4=16
add 4 to both sides
3x=20
divide 3 by both sides
x =6.6

Are these ratios equivalent?

$4 per 7 items

$8 per 14 items

Answers

Answer:

yes

Step-by-step explanation:

4 by 7 is equivalent because 4 times 2 is 8 and 7 times 2 is 14

Answer:

Yes, the ratios are equivalent

Step-by-step explanation:

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