The statement that should be true is option A. The average rate of change of f is the same as the average rate of change of g.
What is an exponential function?It is considered to the mathematical function where x should be the variable and a be the constant that we called as the function-based.
Since Function g is an exponential function passing through the points (3,–53) and (5,-41).
So here the average change rate of f should be similar just like the g.
Learn more about function here: https://brainly.com/question/21722094
We can conclude that the average rates of change of f and g cannot be determined from the given information.
Option C is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
We can calculate the average rate of change of function f over the interval (3,5) using the given table:
The average rate of change of f
= (f (5) - f (3)) / (5 - 3)
= (71 - 59) / 2 = 6
To determine the average rate of change of function g over the same interval, we need to find its equation first.
We can use the two given points to set up a system of equations:
-53 = a(3)^b - 41
-53 = a(5)^b - 41
Subtracting the second equation from the first.
0 = a(3^b - 5^b)
Since 3^b ≠ 5^b, we must have a = 0, which means g is not a valid exponential function passing through the given points.
Therefore,
We can conclude that the average rates of change of f and g cannot be determined from the given information.
Learn more about functions here:
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HELP ME PLZ I NEED THE FORMULA AND AN EXPLANATION TO THE ANSWERRR
Answer:
[tex]r1 + r2 = r3[/tex]
Step-by-step explanation:
ℎ ℎ ℎ ℎ ℎ
Answer:
This is your answer ☺️. If I'm right so,
Please mark me as brainliest. thanks!!!
A member of the cafeteria staff asks every fifth student leaving the cafeteria to rank 5 vegetables from most favorite to least favorite. She finds that corn is one of the favorite vegetables. (choose if its biased or unbiased and if the conclusion is valid or not)
Answer:
gbn
Step-by-step explanation:
Answer:
unbaised and vaild
Step-by-step explanation:
Katherine v
5 - "And" Probability for Dependent Events
Sophia Tuto
LEARNING OBJECTIVE: Calculate an "and" probability for dependent
events
"And" P.
SC
in a standard deck of cards what is the probability of drawing a black card
followed by drawing a heart? Answer choices are in the form of a
percentage, rounded to the nearest whole number
a.) 10
WHAT'S C
O b.) 26
This tutorial
In a standard deck of cards, what is the probability of drawing a black card followed by drawing a heart?
Answer:
13/102
Step-by-step explanation:
In a standard deck of 52 cards, there are 13 black spades, 13 black clubs, 13 red diamonds and 13 red hearts. There are 26 black cards in the deck of 52 cards.
Probability of drawing a black card = 26/52 = 1/2
Suppose we drew the black card. There are now only 51 cards left in the deck. ALL of the hearts are still there - 13 of them.
Probability of drawing a heart from this deck of 51 = 13/51
In general, for the probability of event A and then event B, we multiply.
1/2 x 13/51 = 13/102
Which of the expressions below is true?
a. (3y)2 =3y2 b. 2ab5 = 2(ab)
5
c. (4b)3 = 64b3
d. 2(x)3 = 8x
Please help I’m on a test
“Given the triangle below, what is the longest side length?”
~11.31
Pythagorean Theorem because it is a right triangle.
what is the area of the shaded region in the figure below
Answer:
4 cm^2
Step-by-step explanation:
2 x 2 x 0.5 x 2 = 4 cm^2
Hi there!
[tex]\huge\boxed{4 \text{ cm}^{2}}[/tex]
Find the area of the shaded area using the given dimensions:
The shaded area is divided up into two triangles, each with a base of 2 cm and a height of 2 cm. Use the following equation to solve for area:
A = 1/2(bh)
A = 1/2(2 · 2)
A = 1/2(4) = 2 cm²
There are two triangles, therefore:
2 × 2 = 4 cm²
help plz i’ll give extra points
elevation in feet = 8.56(140) + 674
elevation in feet = 1872.4
Round to the nearest whole number: 1872
Answer: 1872
Cual es la ley que establece que la suma o producto de dos números reales no dependen del orden en que se presentan los factores en la multiplicación y los sumados en la aducción ?
Answer:
Conmutativa
Step-by-step explanation:
Propiedad conmutativa : El orden de los factores no varía el producto o la suma. Un ejemplo seria 3 x 10 da lo mismo que 10 x 3 que es 30.
Con la suma 3+ 5 es lo mismo que 5+3 que es 8.
Nada mas funciona con SUMA o MULTIPLICACION. Nunca en la resta.
12 less than a number , x
A 12 - x
B x - 12
Let that particular no. be x
then,
ATQ,
x -12
Can someone tell me what x and y would be
Step-by-step explanation:
20°+120°+I°=180°
I=40°
using sine rule,
I/sin I=x/sinX
12/sin40=x/sin20
x=12sin20/sin40
x=6.4
using similarly and enlargement,
we have, cw/cp=y/120
8/12=y/120
y=80°
ILL GIVE U BRAINLIST!! PLEASE HELP :(
Answer:
5 faces, 8 edges, 5 vertices
Many questions in research can be expressed as two competing statements about the population parameter. These two statements are called the null and the alternative hypotheses. Usually, the researcher hopes the sample evidence will be in favor of the alternative hypothesis, the new theory. It is important to be able to state the theories that are being put to a test. For the scenario below, write out the hypotheses to be put to the test and define the parameter of interest in context of the problem.
Suppose that 70% of all faculty members at large public universities in the US use iClickers in their classrooms. We would like to assess if the proportion of faculty members at UM who use iClickers in the classroom is less than the stated rate.
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]H_0: p = 0.70\\\\H_a: p < 0.70[/tex]
The parameter p calculates the portion of faculty members utilizing the iClikers throughout the classrooms.
Evaluate 14y ÷ 2 for y = 6.
Answer:
Check pdf
Step-by-step explanation:
Solve the equation. Show the steps of the solution process.
Solve: -14 = -3(6 + 6k) + 4
Answer:
very easy just simplify and solve
Step-by-step
k=0
Emily has a decorative box that is shaped like a cube with a height of
5 inches. What is the surface area of the box?
HELP MEH ASAP PLS PLZ PLZ
Answer:
5 x 5 x 5 x 5 x 5
Step-by-step explanation:
Melinda said she ate 2/8 of a pizza. What does the 8 in the fraction represent?
Answer:
It represent the slices of how much pizza were there (the total).
Also known for a denominator
HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
help din HDKE EJFNQKEHWHQODBEHQVEIFNFJRNSJEBSG
Step-by-step explanation:
di ko din alam e AHAHAHAHAHAHAHAHAHA NSKFBWJF S DJEBEJS
JSHEBEJS IF JENSKS.DJWKW
SBWUKWVEUEBJQBRJDNDJXBDJDBDKW
EBEJE KD DJWKQKQBWHS
evaluate the function at the specified value and simplify when possible.
Answer: x1 = -2, x2 = -1
Answer:
The answer is x1 = -2, X2 = -1
Solve |x–1| = 6x + 12
Answer:
[tex]x = - \frac{11}{7} [/tex]
Step-by-step explanation:
1) Break down the problem into these 2 equations.
[tex]x - 1 = 6x + 12[/tex]
[tex] - (x - 1) = 6x + 12[/tex]
2) Solve the first equation. x - 1 = 6x + 12
[tex]x = - \frac{13}{5} [/tex]
3) Solve the second equation: -( x - 1 ) = 6x + 12.
[tex]x = - \frac{11}{7} [/tex]
4) Collect all solution.
[tex]x = - \frac{13}{5}. - \frac{11}{7} [/tex]
5) Check solution.
When x=-\frac{13}{5}x=−513, the original equation |x-1|=6x+12∣x−1∣=6x+12 does not hold true.
When x=-\frac{13}{5}x=−513, the original equation |x-1|=6x+12∣x−1∣=6x+12 does not hold true.We will drop x=-\frac{13}{5}x=−513 from the solution set.
6) Simplify.
[tex]x = - \frac{11}{7} [/tex]
Therefor, the answer is x = - 11/7.
5x + 2y = 15
y = -3x + 4
Answer:
5x+2y=15
y=-3x+4
Substituting the value of y in the first equation..
5x+2(-3x+4)=15
5x-6x+8=15
x = -7
So, y = -3(-7)+4
y = 25
This is due in 10 minutes please help me
Given:
The rate of interest on three accounts are 7%, 8%, 9%.
She has twice as much money invested at 8% as she does in 7%.
She has three times as much at 9% as she has at 7%.
Total interest for the year is $150.
To find:
Amount invested on each rate.
Solution:
Suppose x be the amount invested at 7%. Then,
The amount invested at 8% = 2x
The amount invested at 9% = 3x
Total interest for the year is $150.
[tex]x\times \dfrac{7}{100}+2x\times \dfrac{8}{100}+3x\times \dfrac{9}{100}=150[/tex]
Multiplying both sides by 100, we get
[tex]7x+16x+27x=15000[/tex]
[tex]50x=15000[/tex]
Dividing both sides by 50, we get
[tex]x=\dfrac{15000}{50}[/tex]
[tex]x=300[/tex]
So, the amount invested at 7% is [tex]300[/tex].
The amount invested at 8% is
[tex]2(300)=600[/tex]
The amount invested at 9% is
[tex]3(300)=900[/tex]
Hence, the stockbroker invested $300 at 7%, $600 at 8%, and $900 at 9%.
Can someone help me please for brainliest?
Answer: B, 13/16
Step-by-step explanation:
13 out of 16 of the bars are eaten.
How do you which equation symbol to use?
Answer:
This question needs to be written better
Step-by-step explanation:
Each math symbol has words that direct u to know how/when to use them
For example:
Find the sum of 70 and 83
+- (Addition)-(Words used to say addition: Add, Sum , Plus, Increase, Total)
83+70=153
Find the difference between 83 and 70
_-(Subtraction),(Words used to say subtraction: Minus, Less, Difference, Decrease, Take Away, Deduct)
83-70=13
How many times can 2 go into 12?
÷-(Divide/Division)-(Words that are used to say Divide/Division: Quotient, Goes Into, etc.)
12÷2=6
Find the product of 6 and 7
×-(Multiplication/Multiply)-(Words that are used to say Multiplication/Multiply: Product, By, Times, Lots Of)
6×7=7
Hope this helps!
Hoodmemes~
Which of the following is the product of (3x − 5) and (3x + 5)?
Answer:
[tex] {9x}^{2} - 30x + 25[/tex]
[tex]\huge\underline\bold\blue{ƛƝƧƜЄƦ}[/tex]
(3x + 5)(3x - 5)
By using identity
(a + b)(a - b) = a² - b²
3x² - 5²
9x² - 25
I need help ASAP will mark you the brainliest
Answer:
C
Step-by-step explanation:
longer leg/shorter leg = longer leg/shorter leg
10/5 = 5/2.5
(copy and paste for picture)
If x = 6 units, y = 3 units, and h = 5 units, find the area of the rhombus shown above using decomposition.
A. 45 square units
B. 15 square units
C. 11 square units
D. 30 square units
Answer:
B
Step-by-step explanation:
30
Step-by-step explanation:
did it
10
Sara was thinking of a number. Sara adds 19 to it, then doubles it and gets an answer of 39.2. What was the original number?
Answer:
0.6
Step-by-step explanation:
2(x+19)=39.2
x+19=19.6
x=0.6
You put $500 in a savings account. The account earns $20 simple interest in 6 months. What is the annual interest rate? Write your answer as a percent
Answer:
8%
Step-by-step explanation:
For simple interest, we use the equation I = PRT, where I is the interest earned, P is the principal/amount invested, R is the rate as a decimal, not percentage, and T is the time in years.
For this problem, we have to use 0.5 for T, because 6 months is 1/2 a year.
20 = (500)(r)(0.5)
20 = 250r
r = 0.08 = 8%
Can you name the theorem of the triangle?
A. AAS
B. SAS
C. ASA
D. SSS
In science class, the girl to boy ratio is 3 to 7.
If there are 50 students total in the class, how many are boys? help meee out
Answer:
35 are boys and other are girl
Answer: 35 boys
Step-by-step explanation:
So we know the ratio of girls to boys for every 10 student is 3 girls to 7 boys from there we can multiply each number by 5 to give us a total of 50 students which would be 15 girls to 35 boys.