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
Answers
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
Find -8 1/4 divided (-2 5/12) write your answer as a mixed number in simplest form
Answers
Answer:
I believe the answer is 3 12/29
John can jog 3,000 feet in 5 minutes if she jogs at the same rate how many feet can she jog in 8 minutes
Answers
Answer:
4,800 ft
Step-by-step explanation:
Help plz the problem is in the photo
Answers
Answer:
25 = 50%
37.50 = 75%
75 = 150%
Step-by-step explanation:
We know that 50 is 100% so we can work with that.
We also know the percentages increase by 25% for every $12.5.
12.50 + 12.50 = 25
25 + 12.50 = 37.50
62.50 + 12.50 = 75
25 = 50%
37.50 = 75%
75 = 150%
I hope this helps and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
bottom line is- first blank is 50%. second blank is 75%. third blank is 150%
Use an inequality to express the RANGE of the function represented in the graph
Answers
n/2+5=3 what does n equal?
Answers
Answer:
n=-4
Step-by-step explanation:
n/2+5=3
n/2=-2
n=-4
Answer:
N= -4
Step-by-step explanation:
-4/2 = -2
-2+5=3
» How many digits will be in the quotient?
39)4,641
Answers
Answer:
There will be three digits in the quotient.
Step-by-step explanation:
The answer would be 119. Hope this helped ^^✨
The null hypothesis for an ANOVA is that all treatments/samples come from populations with the same mean. The alternative hypothesis is best stated as:____________
Answers
Answer:
At least one of the population means is different from the others.
Step-by-step explanation:
ANOVA is a short term or an acronym for analysis of variance which was developed by the notable statistician Ronald Fisher. The analysis of variance (ANOVA) is typically a collection of statistical models with their respective estimation procedures used for the analysis of the difference between the group of means found in a sample. Simply stated, ANOVA helps to ensure we have a balanced data by splitting the observed variability of a data set into random and systematic factors.
In Statistics, the random factors doesn't have any significant impact on the data set but the systematic factors does have an influence.
Basically, the analysis of variance (ANOVA) procedure is typically used as a statistical tool to determine whether or not the mean of two or more populations are equal through the use of null hypothesis or a F-test.
Hence, the null hypothesis for an ANOVA is that all treatments or samples come from populations with the same mean. The alternative hypothesis is best stated as at least one of the population means is different from the others.
Monica can clean the house in 5 hours by herself. When Monica and Sydney
work together, it takes 3 hours. How long would it take Sydney to clean the
house by herself?
A. 5.5 hours
B. 7.5 hours C. C: 2.0 hours
D. 4.7 hours
Answers
Answer:
The answer is B 7.5 hours.
Step-by-step explanation:
A. P. E. X
Sydney can clean her house in 7.5 hours.
What is Efficiency?Efficiency is often measured as the ratio of useful output to total input, which can be expressed with the mathematical formula r=P/C, where P is the amount of useful output ("product") produced per the amount C ("cost") of resources consumed.
Here, Monica can clean her house in 5 hours
Monica's efficiency = 1/5
Let, Sydney cleans the house in x hours.
Sydney's efficiency = 1/x
They both together complete their work in 3 hours
Combined efficiency = 1/3
Now, according to question;
1/5 + 1/x = 1/3
(x+5)/5x = 1/3
3x + 15 = 5x
5x - 3x = 15
2x = 15
x = 15/2
x = 7.5
Thus, Sydney can clean her house in 7.5 hours.
Learn more about Efficiency from:
https://brainly.com/question/13828557
#SPJ2
What is the unit cost of the olives at Mangio's
Answers
Answer:
$6
Step-by-step explanation:
18/3=6
24/4=6
30/5=6
36/6=6
Manuel ate lunch in 5 minutes. How many seconds is this?
Answers
Answer:
300 seconds
Step-by-step explanation:
1 minute= 60 seconds
5 x 60 = 300
Answer:
1 minute is 60 seconds, so 60 x 5 is 300. So your answer is 300 seconds
Please answer this :)
Answers
Answer:
one option could be for the first box 5 and 9 and in the next box 15 and 27 bc u can scale factor it by 3
Step-by-step explanation:
In the diagram, line p(perpendicular) line r. Which must be true?
Answers
_9) What are the solutions of the equation (x – 3)2 + 2(x – 3) - 8 = 0?
A) x = -5 and x = 1
B) x = -1 and x = 5
C) x = -1 and x = -7
D) x = 1 and x = 7
Help please
Answers
Answer:
Step-by-step explanation:
Two numbers r and s sum up to \frac{1}{2} exactly when the average of the two numbers is \frac{1}{2}*\frac{1}{2} = \frac{1}{4}. You can also see that the midpoint of r and s corresponds to the axis of symmetry of the parabola represented by the quadratic equation y=x^2+Bx+C.
Name the corresponding an
Answers
Answer:
what do you want to say?
PLZ HELP if u know the answer for sure
Answers
WILL MARK BRAINLIEST
what type of transformation is described by (x,y) —> (x+2, y+16)?
Answers
This transformation takes a vector (x,y) and maps it to the vector (x+2, y+16). In other words, it moves the X coordinate of the vector 2 units to the right, and the Y coordinate of the vector is moved 16 units upwards.
If you would take a set of points and apply this transformation, you would see the entire set moving upwards and to the right, with no stretching ou rotating. This type of transformation is called a translation transformation.
What is 0.612 repeating (meaning the repeating line is over 612) as a fraction
Answers
Answer:
[tex]\frac{612}{999}[/tex]
Step-by-step explanation:
To convert repeating decimals to fractions, you take the numbers that are repeating, in this case 612, and you see how many numbers are repeating. Here we have 3 numbers repeating and so you would divide 612 by 3 9's meaning 999. So 0.612 repeating is equal to [tex]\frac{612}{999}[/tex]. To make sure the answer is right, you can divide the numbers in a calculator to make sure you get the correct decimal.
HELP ASAP!!!!
What is the minimum using this equation?
y=0.04x^2+0.84x+2
Answers
the max is -2.41
let me know if you need examples
Last year 950 people attended a town's annual parade. This year 1,520 people attended. What was the percent increase in attendance from last year to this year?
Answers
Answer: 60% increase
Step-by-step explanation: look up calculator soup if you have more questions like this
Find the volume and solve the application.
A mason's assistant's rate of pay is $0.95 per cubic foot of earth moved. He digs a trench 1.5 ft. wide by 1 ft. deep by 150 ft. in length. What is his pay for this job?
Answers
1.5ft * 1ft * 150ft = 225ft^3
225 * $0.95 = $213.75 pay for the job
Juan pago $50.00 pesos por 3 cajas de paquetes y 5 cajas de clavos, mientras que Pedro compró 5 cajas de taquetes y 7 cajas de clavos y tuvo que pagar $ 74.00 pesos . ¿ Cual es el precio de cada caja de taquetes y clavos ?
a) ¿ Cuantas incógnitas hay en el problema ?
b) ¿ Cuántas ecuaciones puedes construir según el texto?
c) ¿ Cuales son esas ecuaciones?
Answers
B ) dos
C ) 50 dividida 8, 74 dividida 12
espero que esto haya ayudado!
te agradecería que me dieras un gracias y brainliest (:
Evaluate the following expression using the values given:
Find 5x − 3y − z if x = −2, y = 2, and z = −3
Answers
Answer: -13
Step-by-step explanation:
just substitute the letters for the numbers.
5(-2) - 3(2) -(-3)
then, remove the parenthesis.
-10 - 6 + 3
finally, just calculate it.
-13
solve (x – 3)2 = 81 quadratic equation
Answers
Answer:
x = 43.5 or x = 87/2
Step-by-step explanation:
(x - 3)2 = 81
2x - 6 = 81
2x = 87
x = 43.5
Ben earns an annual income of $12,800 a year. The income tax he has to pay is 15%. What is the amount of income tax in dollars and cents that Ben has to pay? A $1,664 B $10,880 C 12,000 D $1,920
Answers
Answer:
$
1
,
920
Explanation:
Find
15
%
×
12800
15
100
×
12800
1
=
$
1
,
920
Step-by-step explanation:
Answer:
D $1,920
Step-by-step explanation:
$12,800 annual income he has to pay 15%
EASYYYYYYYYYYYYYYYYYYYY'
just get
12,800 DIVIDE BY 100
12,800/100
128=1 percent
now multiply by 15
128*15=
1920
Please Help Friends !!!
Answers
Answer:
A=4 B=1 C=2 D=5 E=3
Step-by-step explanation:
small bottle of Gatorade holds 75% as much as the large bottle of Gatorade. If the small bottle holds 36 units, how many units does the large bottle hold?
Answers
Answer:
48 unit
Step-by-step explanation:
36=x75%
x=36/75% = 48
double check just in case :)
Solve the problem. Round the point estimate to the nearest thousandth. 32 randomly picked people were asked if they rented or owned their own home, 8 said they rented. Obtain a point estimate of the proportion of home owners.
a. 0.200
b. 0.750
c. 0.781
d. 0.250
e. None of the above
Answers
Answer:
B) 0.750
Step-by-step explanation:
Why is because the answer is 3/4 and 3/4 in decimal form is 0.750.
5.00 minus2.40minus1.33= plz show me how you got that answer step by step
Answers
Answer:
5.00 -2.40= 2.60
2.60-1.33= 1.27
The answer is 1.27
Step-by-step explanation:
Answer this please i need help
Answers
Answer:
Slope m = -3
y-intercept (0, 0)
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
y = -3x
Step 2: Break Function
Identify Parts.
Slope m = -3
y-intercept b = 0
Question #5
Consider the equation.
72 +48 = 8
1+6)
Enter the unknown number that makes the equation true.
Your answer
Σ
Answers
72=8x 8*9=72