Select all the correct answers. Exponential function f is represented by the table. x 0 1 2 3 4 f(x) -12 -4 0 2 3 Function g is represented by the equation. g(x)=-12(1/3)^x Which statements are true about the two functions? Both functions are increasing on all intervals of x. The functions have the same y-intercept. Both functions approach the same value as x approaches ∞. Both functions approach -∞ as x approaches -∞. The functions have the same x-intercept.

Answers

Answer 1

Answer:

Both functions are increasing on all intervals of x: True

Both functions have the same y intercept: True

Both functions approach the same value as x approaches infinity: True

Both functions approach negative infinity as x approaches negative infinity: True.

The functions have the same x intercept: False, they have no x intercept.

Step-by-step explanation:

f(x) is stated to be an exponetial function, hence

[tex]f(x)=ab^{x}[/tex]

f(0) is given as -12, so

-12=a

f(1) is given as -4, so

-4=-12b

b=1/3

This implies that

[tex]f(x)=-12(\frac{1}{3})^{x}[/tex]

g(x) is stated to be

[tex]g(x)=-12(\frac{1}{3})^{x}[/tex]

Conclusion: the functions are identical.

Answer 2

Answer:

so the answers are

the functions have the same y-intercept

both functions approach negative infinity as x approaches infinity

both functions are increasing on all intervals of x


Related Questions

WORK OUT THE SUMOF THE INTERIOR ANGLES OF A PENTAGON

Answers

answer:

literally how. i just did this question myself lol

the answer is 540 with each interior angle being 108 degrees

Question is in the Picutre attached.

Answers

Bisectors make two congruent segments. Thus, set the two expressions equal to each other. Solve for x. Then plug back in to the expression for QP. I have attached the work to clarify. Hope it helps!

it takes carina on average 20 minutes to assemble product x . how many of products x can carina be expected to assemble in 3 hours and 40 minutes if she takes a 20 minute work break during her assembly time

Answers

Carina can assemble 10 products within the give time

2m+(m-15)=90 solve for m

Answers

Answer:

m = 35

Step-by-step explanation:

2m + m -15 = 90

3m -15 = 90

     +15  +15

3m = 105

/3     /3

m = 35

To check the work just insert 35 for m:

2(35) + 35 -15 = 90

70 + 35 -15 = 90

105 - 15 = 90

90 = 90

The table shows the number of goals scored by Number of goals Frequency
each of 22 footballers.
0
4
A bar chart showing this information has
1
5
been started below.
2
8
3
5
8
7
6
a) Fill in the label for the
horizontal axis.
Frequency
COOL -
b) Draw the remaining bars.
2
1
c) Give the bar chart a title.
0
0
3
1
2
Numberof goals

Answers

An appropriate label for the horizontal axis of this bar chart is "Number of goals" and its title should be "The number of goals scored by a team."

What is a bar graph?

A bar chart is also known as bar graph and it can be defined as a type of chart that is used for the graphical representation of data (information), especially by using rectangular bars or vertical columns.

The appropriate label for the horizontal axis of this bar chart is "Number of goals" and its title should be "The number of goals scored by a team."

Read more on bar chart here: https://brainly.com/question/24741444

#SPJ1

Jana scored 45 in her 50 item math test. what is the ratio of her correct to her incorrect answers

Answers

Answer:

9 : 1

Step-by-step explanation:

Let the correct answers be denoted by C.

Let the incorrect answers be denoted by I.

Given the following data;

Correct answers = 45 answers

Incorrect answers = 50 - 45 = 5 answers

Ratio of correct to incorrect answers;

C : I = 45 : 5

Dividing by 5, we have;

C : I = 9 : 1

solve for x
solve for x
solve for x

Answers

Answer:

4x+12=120°

X=12-4=120°

X=8=120

X=120/8

X=15

Answer:

Step-by-step explanation:

4x + 12 =

      -12 = -12

4x = -12

/4      /4

x = -3

How many bases does a triangular prism have?
(if you explain I will give brainlyist)

Answers

Answer:

there are two bases and three sides/faces.

One of the legs of a right triangle is 9 cm. If the area of the triangle is 225 cm², then the length of the other leg is

if you tell correctly I will give brainlist​

Answers

Given:

One of the legs of a right triangle is 9 cm.

The area of the triangle is 225 cm².

To find:

The length of the other leg.

Solution:

The area of a triangle is

[tex]Area=\dfrac{1}{2}\times Base\times Height[/tex]

The area of a right triangle is

[tex]Area=\dfrac{1}{2}\times (leg_1)\times (leg_2)[/tex]

Let x be the length of other leg.

[tex]225=\dfrac{1}{2}\times (9)\times (x)[/tex]

[tex]2\times 225=9x[/tex]

[tex]\dfrac{450}{9}=x[/tex]

[tex]50=x[/tex]

Therefore, the length of the other leg is 50 cm.

3. A manufacturing process produces integrated circuit chips. Over the long run, the fraction of bad chips produced by the process is 20%. Thoroughly testing a chip to determine whether it is good or bad is rather expensive, so a cheaper test is used. All good chips will pass the test, but so will 6% of the bad chips. a) (4 points) What is the probability that a randomly chosen chip will pass the test

Answers

Answer:

0.812 = 81.2% probability that a randomly chosen chip will pass the test

Step-by-step explanation:

Over the long run, the fraction of bad chips produced by the process is 20%.

So 100 - 20 = 80% are good.

All good chips pass the test, while 6% of the bad chips(20%) also pass.

a) (4 points) What is the probability that a randomly chosen chip will pass the test

[tex]p = 0.8 + 0.06*0.2 = 0.812[/tex]

0.812 = 81.2% probability that a randomly chosen chip will pass the test

Use continuity to evaluate the limit.
lim 16+radical x/ radical 16+x
1+9
Consider the intervals for which the numerator and the denominator are continuous.
The numerator 16+ radical x is contintuous on the interval
[0,00)
0
The denominator V16 + I is continuous and nonzero on the interval
(16,00)
X
The interval for which the quotient is continuous is the intersection of the above intervals.
16+
Therefore, the quotient
is continuous on the interval
716 +1
[-16,0]
X
Since 2
9 is in the interval (0, 0), then fis continuous at x = 9. Therefore,
19
16 + VE
lim
179 16 +2
f(9)
00
Question Help: Message instructor
Submit Question

Answers

Answer:  

Use continuity to evaluate the limit.

lim 16+radical x/ radical 16+x

1+9

Consider the intervals for which the numerator and the denominator are continuous.

The numerator 16+ radical x is contintuous on the interval

[0,00)

0

The denominator V16 + I is continuous and nonzero on the interval

(16,00)

X

The interval for which the quotient is continuous is the intersection of the above intervals.

16+

Therefore, the quotient

is continuous on the interval

716 +1

[-16,0]

X

Since 2

9 is in the interval (0, 0), then fis continuous at x = 9. Therefore,

19

16 + VE

lim

179 16 +2

f(9)

00

Question Help: Message instructor

Submit Question

Step-by-step explanation:

Solve for x and y: (x + yi) -(2-1) = 12 +7i

Answers

Answer:

These are the answers.

Step-by-step explanation:

what is 9 to 8 to simplest

Answers

3 and 4 is the lcd

lcd means least common factor

simpleest it ¾ the answer

Answer:

3/4 hope its helpssssssss

Consider the following equation

3x + 9y = 8y - 2

Step 2 of 2: Find the equation of the line which passes through the point (13,5) and is perpendicular to the given line. Express your answer in
slope-intercept form. Simplify your answer.

Answers

Answer:

The perpendicular line is:

y = 1/3  x + 2/3

Step-by-step explanation:

The given equation can be reduced to its slope-intercept form as shown below:

3x + 9y = 8y - 2

subtract 8 y from both sides

3 x + y = -2

subtract 3 x from both sides

y = - 3 x -2

therefore we know that the slope of this line is -3, and then, a perpendicular line to it must have slope given by the "opposite of the reciprocal" of this slope. That is, the slope of any perpendicular line to this one must be: 1/3

We use this slope to find the equation of the line passing through the point (13. 5)

y = 1/3 x + b

passing through (13, 5) means:

5 = 1/3 (13) + b

therefore, we can find b from the above equation

b = 5 - 13/3 = 15/3 - 13/3 = 2/3

Then the equation of this perpendicular line is:

y = 1/3  x + 2/3

witch division problem does the number line below best illustrated


A 10 ÷2= 5
B 15 ÷3= 5
C 50 ÷5=10
D 20 ÷10=5

Answers

10 divided by 2 =5 because it ends at 10 and goes back by 2 and there are 5 loops

A line with -2 and y intercept of 4

Answers

Answer:

The equation of the straight line y = -2x +4

Step-by-step explanation:

Explanation:-

Given that the slope of the line   m=-2

Given that  y-intercept c=4

The equation of the straight line

slope -intercept form  y =mx +c

The equation of the straight line y = -2x +4

Please help me, thanks!!!!

Answers

What kind of math is this?

The dry cleaning fee for three pairs of pants is $18. How much will it cost to clean 11 pairs of pants?

Answers

Answer: Constant of proportionality is $6 for one pair and cost of dry cleaning 11 pairs of pants is $66.
11 pairs of pants would equal $66

$18/3=6
$6 per one pair of pants
6 times 11= 66
$66

Hope this helps! Have a great day :)

After spending many hours studying for your math class, you decide to reward yourself with a case of cream soda. Unfortunately, Corner Market only had a warm case left. You buy several bags of ice and decide to chill it at home. When you get home, the temperature of the soda is 76° F, and you proceed to pack it in ice. After 10 minutes, the temperature cooled to 70° F. If cream soda is best served at 60° F or cooler, how much longer must you wait to enjoy your chilled cream soda?

Answers

Answer:About sixteen minutes.

Step-by-step explanation: After you find out that Ten minutes is six degrees you divide ten by six and get 1.666. Then you multiply that by the time remaining and get 16 minutes rounded. or seventeen if you are specific.

If the coordinates of a pre-image are (x, y), which motion rule represents a counterclockwise rotation of 90° about the origin?

Answers

Answer:

b

Step-by-step explanation:

Could you please show work :)

Answers

Answer:

x= 12/7

Step-by-step explanation:

3x+4x=12

Step 1: Simplify both sides of the equation.

3x+4x=12

(3x+4x)=12(Combine Like Terms)

7x=12

7x=12

Step 2: Divide both sides by 7.

7x  7 = 12 7 x= 12 7

12/7

The Johnson family is taking a road trip. They travled 456 miles in 8 hours. James said their rate is 57 miles per hour.
Do you agree with James? Explain

Answers

Answer:57

Step-by-step explanation:

I would do 456/8 to figure out how many miles they went every hour, 456/8 is 57 so James is correct.

5 3/10 - 1.5 please help me

Answers

Your answer is 3.8 I hope it helped :)

Answer:

es igual a 111.111.111.011

Select the correct answer. Which number has a repeating decimal form? A. B. C. D.

Answers

Answer:

0.1727

Step-by-step explanation:

this is the correct answer because g00gle is a thing

Sal is tiling his entryway. The floor plan is drawn on a unit grid. Each unit length represents 1 foot. Tile
costs $2.05 per square foot. How much will Sal pay to tile his entryway? Round your answer to the nearest
cent.
Sal will pay $1
to tile his entryway.

Answers

Answer: 89.18

Explanation:none your welcome

Explain answer !!

( WILL GIVE BRAINLEST)

Answers

Answer:

B

Step-by-step explanation:

Cross product.

3xy= 3y

4x6= 24

3y/3

24/3= 8

Answer is b because you multiply times 2 on the fraction on the left

2. A graphic designer is creating an advertisement for a tablet. She needs to enlarge the picture so that 2
Inches on the scale drawing will correspond to 5 Inches on the actual advertisement. If the dimensions
of the scale drawing are 3 Inches by 4 inches, what will be the length and width of the tablet on the
actual advertisement
PLEASE HELP ASAP!

Answers

Answer:

lol the answer is 49

Step-by-step explanation:

hope this helps <3

2 1/8x+3/4x+1/6-7/12x+5 2/3

Answers

55
—— x + 35/6
24

this is the final answer

Answer:

5/24(11x+28)

Step-by-step explanation:

Billy has a set of wooden boards. Each board is 0.6 meters long. If Billy lays 4 boards end-to-end, how many meters long will the line of boards be?

Answers

Answer:

2. 4 meters long

Step-by-step explanation:

0. 6 times 4 equals 2. 4

After taking a 70 point test, a student guesses that he got 65 points correct. Later he finds out he got 67 points
correct. Calculate the percent error of his guess to 3sf.

Answers

Answer:

Percent error = 4.29%

Step-by-step explanation:

Percent error can be defined as a measure of the extent to which an experimental value differs from the theoretical value.

Mathematically, it is given by this expression;

[tex] Percent \; error = \frac {experimental \;value - theoretical \; value}{ theoretical \;value} *100[/tex]

Given the following data;

Experimental value = 67

Theoretical value = 70

Substituting into the equation, we have;

[tex] Percent \; error = \frac {67 - 70 }{ 70} *100[/tex]

[tex] Percent \; error = \frac {3}{70} *100[/tex]

[tex] Percent \; error = 0.04286 *100[/tex]

Percent error = 4.29%

Other Questions
Which best describes the period of Hellenism? A. A period of time when Athens ruled the world, before Alexander conquered it.B. A period of time when Athens ruled the world, until Philip conquered it. C. A time from when Alexander started conquering to about 31 BC when most of the known world was influenced by Greece D. A time after Alexander died until 600 AD when most of the world spoke Latin 1FAIpQLSedW9GapWiDC2a GDq7zacl2q8GRC22fKMRIPSYONQVv3r3S5A/... 1-7 Word Problem...Your answer1 pointYou are building a deck onto your house. The deck will be 5 meters longand 8 meters meters wide. How many square CENTIMETERS will the deckcover? Answer with numbers only (commas are okay to include).Your answer Some Texans hoped that recognition by the ____________________________ might pave the way for annexation by that country. Which statement describes an interaction between the biosphere and the atmosphere that is related tophotosynthesis? During photosynthesis, plant roots take in water from soil.O During photosynthesis, plants take in carbon dioxide from the air.O Through photosynthesis, energy stored in plants is released into the air.O Through photosynthesis, energy stored in plants is transferred to humans who eat them What is the solution of this linear equation system? y = 3x-2 y-2 = x Question 7 (1 point)How are humans changing the carbon derLesson 1.10all of the choices PLEASE HELP ME 6. Frankie graphed a quadratic function with avertex in Quadrant I. Which of the followingcould be Frankie's function?a. f(x) = -3x2 + 24x 4b. f(x) = x2 2x + 10c. Both a and bd. Neither a nor b if mia Khalifa was black what would her situation be Two populations live in the same habitat and compete for food. The first group is larger and multiplies through asexual reproduction; the second reproduces sexually. What could happen to cause the second group to outnumber the first? 2Select the correct answer.Why was Zyklon B used instead of carbon monoxide?A.It allowed for a smaller gas chamber.B.It was less expensive.C.It worked faster.D.It allowed for a larger gas chamber.O E.It was safer for the Nazis running the chamber. You have $350 dollars in your savings account the account pays an interest rate of 2.25% how much will you earn in interest this year? Leandro wants to estimate the proportion of light bulbs that arrive broken upon shipment to his store. Hetakes a random sample of 500 bulbs and finds that 25 arrived broken. He's willing to assume independencebetween bulbs in the sample. Find the simple interest paid and the amount paid for the loan.$4800 at 9.9% for 4 years How well do you think scientists can predict where a volcano will erupt? How well do you think scientists can predict when a volcano will erupt? Explain. what does a timbre sound like?A. the bright sound of a trumpet B. long and short sounds C. pitches moving higher Mandy buys 36 pens, 36 pencils, 36 rulers and 36 pencil cases.Price listpenspencilsrulerspencil cases4 for 75p12 for 42p6 for 1.1054p eachWhat is the total amount of money spent by Mandy?I A rectangle has a length of 16 inches and the length of the diagonal is 20 inches. What is the width of the rectangle Which of the following can vote on ratification of amendment to the U.S. Constitution? president and vice presidentstate supreme courtsstate legislaturesfederal courts Solve the following equation for h. 4 = hn SMART PPL PLEASE HELP ,Explain how you know the expression represents the area of shaded part of the rectangle.