Use the drop-down menus to complete each statement about the functions f and g
Note: Exponential functions are of the form f(x) = ab^x
-linear/exponential/neither
-differences/quotients
-constant/non-constant
Answers
Answer:24
Step-by-step explanation:Exponential functions are of the form f(x) = ab^x
The complete statements: Function f → the linear function f(x) = 6x and consecutive differences are constant and function g → the exponential function g(x) = 6(2)ˣ and consecutive quotients are constant.
What is an exponential function?When b > 0 and b ≠ 1, an exponential function has the form f(x) = (b)ˣ. The base is b, and the exponent is x, just as in any exponential equation.
Linear functions have constant first differences.
Here, if a and b is the first and second term.
Then the first difference is b-a.
Exponential functions have a constant ratio.
The ratio of first term and second term is b/a.
Let f(x) = y
Here, from the table;
y₂-y₁ = 12 - 6 = 6
y₃-y₂ = 18 - 12 = 6
y₄-y₃ = 24 - 18 = 6
Consecutive differences are constant.
And the linear function is f(x) = 6x
From the first differences, we have linear function.
To find the common ratio, b :
Let g(x) = g
Then,
g₂/g₁ = 12/6 = 2
g₃/g₂ = 24 / 12 = 2
g₄/g₃ = 48 / 24 = 2
b =2
And the exponential function g(x) = 6(2)ˣ.
Therefore, the complete statements: Function f → the linear function f(x) = 6x and consecutive differences are constant and function g → the exponential function g(x) = 6(2)ˣ and consecutive quotients are constant.
To learn more about the exponential function;
https://brainly.com/question/15352175
#SPJ2
Related Questions
( brainliest and screenshot below) Hey! Can someone help?
Answers
Answer:
5 cm
Step-by-step explanation:
Area = length x width
40 = 8 x w
40/8 = w
5 = w
Rectangle A has area of 40cm² and length 8cm. The area of rectangle B is one-half the area of rectangle A. The rectangle have the same length. What is the width of rectangle B ?
Answer:Given:
Area of Rectangle B is half of the area of Rectangle A.[tex] \quad [/tex][tex] \quad [/tex] [tex] \quad [/tex] [tex] \quad [/tex][tex]{\large{\rm{{ \frac{1}{2} \times 40{cm}^{2} = 20{cm}^{2}}}}}[/tex]
Length of both the rectangles are same.[tex] \quad [/tex]
Rectangle A :-
Length (l) = 8 cm Area (A) = 40cm²Rectangle B :-
Length (l) = 8cmArea (A) = 20cm²Width :
[tex] \quad [/tex] [tex] \quad [/tex] [tex] { \large{ \sf {\frac{Area (A)}{Length (L)}}}} \longrightarrow \frac{{ \cancel{20}}^{5} }{{ \cancel{8}} ^{2}} = \frac{5}{2} [/tex]
Thus, Width of Rectangle B is 5/2 cm.
[tex] \: [/tex]
[tex] \: [/tex]
Check:We know,
[tex] \quad [/tex] Area of Rectangle = length × breadth
➛ 8 × [tex] \frac{5}{2} [/tex]
➛ [tex] {\large{ \frac{40}{2}}} [/tex]
➛ [tex] {\large{ \frac{ \cancel{40}^{20} }{ \cancel{2}^{1} }} = { \boxed{ \red{20}}}} [/tex]
Please help me with this:
Answers
Answer:
Max is correct.
Step-by-step explanation:
You have to add
Step by step:
4/10 -> 40/100
40/100 + 35/100 = 75/100
You have to make sure the denominators are the same before you add them.
Factor $\frac{1}{3}$out of $\frac{1}{3}x-\frac{7}{3}$
Answers
The table models the population, P(n), of a colony of bacteria over n days.
Describe the type of model that best fits the data. Explain your reasoning.
Determine the equation for the function of best fit for this data.
Answers
Answer:
Bacteria in 2022
Step-by-step explanation:
.aybe it's correct
Anyone please help will mark BRAINIEST! Please show all work
A coin is tossed 3 times and a sequence of heads and tails is recorded.
a) Determine the number of points in the sample space
b) Construct a tree diagram and list the sample space
Find the probability that:
c) No heads are tossed
d) Exactly one head is tossed
e) Three heads are tossed
Answers
Solution:
Total number of trials = 250.
Number of times three heads appeared = 70.
Number of times two heads appeared = 55.
Number of times one head appeared = 75.
Number of times no head appeared = 50.
In a random toss of 3 coins, let E1, E2, E3 and E4 be the events of getting three heads, two heads, one head and 0 head respectively. Then,
(i) getting three heads
P(getting three heads) = P(E1)
Number of times three heads appeared
= Total number of trials
= 70/250
= 0.28
(ii) getting two heads
P(getting two heads) = P(E2)
Number of times two heads appeared
= Total number of trials
= 55/250
= 0.22
(iii) getting one head
P(getting one head) = P(E3)
Number of times one head appeared
= Total number of trials
= 75/250
= 0.30
(iv) getting no head
P(getting no head) = P(E4)
Number of times on head appeared
= Total number of trials
= 50/250
= 0.20
I might mark brainliest I just need help
Answers
Answer:
i think you have to measure your diagram with a protector to find the angles
100 POINTS
Angles 4 and 5 are
a transversal cutting through parallel lines
A. alternate exterior angles
B. corresponding angles
C. alternate interior angles
D. vertical angles
Answers
Answer:
alternate interior angles
Step-by-step explanation:
Got it correct on my test
i need some help with this! i want my grade to go up
Answers
Answer:
44.159
Step-by-step explanation:
Find the surface area of a triangular prism that has a height of 11 meters and the triangular base shown. All dimensions are in meters.
S
A
=
m
2
Answers
Answer:
146 m²
Step-by-step explanation:
The total base area = base x length = 4 x 11 = 44 (1)
The area of each triangular surface = /2 x base x height = 1/2 * 4 * 3.5 = 7 and the areas of both triangular surfaces = 2 x 7 = 14 (2)
The surface area of each of the lateral surfaces = side of triangle x length = 4 x 11 = 44
The area of both lateral surfaces = 2 x 44 = 88 (3)
Adding up (1), (2) and (3) gives us 146 m² as the total surface area
Answer Please-Due Tomorrow
You roll a 6-sided die. What is P(divisor of 8)? Write your answer as a percentage.
Answers
This is part 2 of my question! but the questions are marked as odds for this part, which is part 2.
Part 1 - https://brainly.com/question/27539883
(Repost)
Answers
19) 15 <= 9 + 3x
15) x = 23,24,25
17) x <= 115
9) Second line
11) g > 20, don't fill in dot, any number greater than 20
1) -3 + h<= 3.4
3) No, x > -2
5) x > 14, don't fill in dot, any number greater than 14
7) k<=20, fill in dot, 20 or any larger number
(took me while to type this out lol cause on mobile)
I will mark brainliest
Answers
Answer:
id say 90 degree clockwise
Step-by-step explanation:
Answer:
it would be a 90 degree angle
Step-by-step explanation:
hope this helps
sorry if its wrong
What is the probability that a randomly chosen rental car form this agency?
Answers
Answer:
The answer is 3 over 47
Step-by-step explanation:
There are three beige SUVs and there are 47 total.
FAST HELP!
Find the surface area of a rectangular prism that has the dimensions shown.
length: 2 ft
width: 14 in.
height: 11 in.
S
A
=
in
2
Answers
Step-by-Step Explanation:
l = 2 ft = 24 in
w = 14 in
h = 11 in
Surface Area = 2(wl+hl+hw)
Therefore,
= 2(wl+hl+hw)
= 2(w * l + h * l + h * w)
= 2(14 * 24 + 11 * 24 + 11 * 14)
= 2(754)
= 2 * 754
= 1508
Surface Area = 1508 in^2
Answer:
1508
Step-by-step explanation:
The other person was correct! I did the answer on my lesson and got a %100.00!!!
How do you write 4.279E-4 in standard form?
Answers
Answer:
0.0004279 in decimal form
Step-by-step explanation:
Answer:
4279/10000000
Step-by-step explanation:
Multiply and divide by 10 for every number after the decimal point. There are 7 digits to the right of the decimal point, therefore multiply and divide by 10000000.
'Hope this helps :)'
A tree is 4 feet 5 inches tall. How tall is it in inches?
Answers
1 ft = 12 inches
4 ft = 4 × 12 = 48 inches
48 + 5 = 53 inches
hope it helps...!!!
What is the mean of this stem and leaf plot? Show your work.
What is the median of the data? Show your work.
What is the mode of the data?
Answers
Answer:
mean:43.8 median:39 mode:31
Step-by-step explanation:
Mean: add all numbers together to get 1314. then divide by 30 (the amount of numbers in the plot). Median: order the numbers from least to greatest, then find the middle number
Mode: find the most repeaded number
i really need some more help on this homework
Answers
Answer:
bcd
Step-by-step explanation:
Bc you break the shape into two pieces and then subtract 20-18 to get two. Then u add the two multiplication pieces together
3. Find the perimeter of the rectangle with length 97 inches and width 17 inches.
228 in.
211 in.
1,649 in.
114 in.
Answers
All of the quadrilaterals in the shape below are squares. Find the area of the shaded region.
1st one to answer gets brainliest
Answers
I need help on this part of my homework
Answers
Answer:
A-3
B-4
C-4
D-3
Step-by-step explanation:
This is because we have to count the units from bottom to top.
I hope this was helpful...
Please help it would mean a lot to me
Answers
but if its not im sorry.
A calculator displays 2.2E-5. How do you write 2.2E-5 in standard form?
Answers
The algebraic expression
9p−10q+3−9p
is a:
Monomial
Binomial
Trinomial
Quadrinomial
Answers
Answer: Quadrinomial
Step-by-step explanation: Quadrinomial = 4 terms
Round the number. Write the result as a product of a single digit and a power of 10.
0.000000000994
Answers
Answer:
9.94 × 10 ^ -10
10 x 10^ -10
Step-by-step explanation:
Move the decimal over to the right. Count the decimal spaces until it reaches 9.94. The number of spaces is 10. When moving the decimal to the right the exponent is a negative number. 9.94 can be rounded up to 10.
When the expression x²-4x-32 is factored to (x-8)(x+h), where h is a constant, what is the value of h? (will give 50 points+brainliest)
Answers
Answer:
h = 4
Step-by-step explanation:
Answer:
H = 4 given -an expression x² - 4x - 32
To find -Value of h
Solution -[tex] {x}^{2} - 4x - 32[/tex]
Solving by splitting middle term
[tex] {x}^{2} - 8x + 4x + 32[/tex]
[tex] x(x - 8) + 4(x - 8)[/tex]
[tex](x - 8)(x + 4)[/tex]
equating this with (x-8)(x + h)
Value of H = 4
3.14 x (6)^2 = ?
step by step
Answers
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]
3.14×(6)² step by step
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]
When you're trying to simplify an expression which requires several operations, the acronym PEMDAS comes in handy, and here's what it means:-
P = parentheses (x+n)E = exponents [tex]\bold{x^n}[/tex]M = multiplication x•nD = division x÷nA = addition x+nS = subtraction x-nWith the help of the acronym PEMDAS, we can simplify our expression:-
[tex]\bold{3.14\times6^2}[/tex]
Squaring 6 (Exponents):-
[tex]\bold{3.14\times36}[/tex]
Which results in
[tex]\boxed{\boxed{\sf{113.04}}}\checkmark[/tex]
Good luck with your studies! :-)[tex]\rule{50}{1}\smile\smile\smile\smile\smile\rule{50}{1}[/tex]
To predict volcanic eruptions scientists may use a seismograph to detect small earthquakes out of the 169 active volcanoes in the U.S. about 130 are in Alaska. About how many active U.S. volcanoes are not is Alaska?
Answers
Answer:
39 active volcanoes.
Step-by-step explanation:
Subtract 169 (whole) from 130 (part). 9 - 0 = 9, 6 - 3 = 3, and 1 - 1 = 0. Therefore, 169 - 130 = 39
Help me pls thank you
Answers
Answer:
More than half the students scored 81 or better on the test
There were 12 students who scored 80 on the test
The same number of students scored between 81 and 90 on the test as scored between 61 and 80.
Step-by-step explanation: Please think this through, I don't know if I'm correct. It is either all or one of these
Answer This Please -Due tomorrow
Answers
Answer:
i think the answer should be 1/3