Given the following table and graph write the equation to represent the exponential function.
Answers
Answer:
The exponential equation is y = -2×(1/2)^x
Step-by-step explanation:
Ok we have a couple things to note here:
1) The horizontal asymptote of the function is the x axis (always nice)
2) At x=0, y=-2 (i.e, this function will be multiplied by -2 bc the exponent part will transform into one at x=0)
3) Then we need to ascertain the base of the exponential. Based on the facts that at x=1, y=-1 and the "a-value" is -2, we can set up an equation to find b:
y=a×b^x----> -1 = (-2)(b) ------> b=1/2
Therefore, the exponential equation is y = -2×(1/2)^x
Test:
At x = 0, y= -2
At x = -1, y = (-2)*(1/2)^-1 = (-2)*2 = -4
At x=2, y = (-2)*(1/2)^2= (-2)*(1/4) = -1/2
Thus we can be quite certain that this is correct
Related Questions
Look at the Screenshot and ANSWER THE QUESTION
Answers
Answer:
Graph C is the answer.
Step-by-step explanation:
From the graphs attached,
Graph A
Given graph represents a cubic function.
Graph B
This graph represents a piecewise function.
Graph C
This graph represents an exponential function.
Graph D
Given graph represents a quadratic function.
Graph C is the answer.
NEED HELP WITH NUMBER 2 PLS I WILL MARK YOU BRAINLIEST
Answers
Answer:
The slope is 25 and the y-intercept is 100
Step-by-step explanation:
With linear equations (y = mx + b), m is always the slope, which, in this case, is 25. It could also be written as [tex]\frac{25}{1}[/tex], although it's not necessary here
B is always the y-intercept, which is 100 here
what's the distance between (1,7) and (-2,-4)
Answers
Answer:
Finite Math Examples. Popular Problems · Finite Math. Find the Distance Between Two Points (7,2) , (-1,4).
Step-by-step explanation:
Finite Math Examples. Popular Problems · Finite Math. Find the Distance Between Two Points (7,2) , (-1,4).
Answer:
The distance is Sqrt(130) or in decimal form, 11.01...
Step-by-step explanation:
The distance formula states that you need to do sqrt((a-x)^2+(b-y)^2)). In this scenario (x,y)(a,b)= (1,7)(-2,-4) So we just fill in that formula. (-2-1)=-3^2=9; (-4-7)=11^2=121; 121+9=130. The distance is therefore Sqrt(130) or in decimal form, 11.01...
Need to figure out x and y
Answers
Answer:
f(X)=7 X=1
X=2. f(X)=14
f(X)=21. X= 3
X=4. f(X)=28
X=5. f(X)=35
just substitute in the equation
The Pythagorean Theorem
(if the diameter of the table is 86 inches, will it fit through a rectangular door that measures 30 inches by 84 inches?)
Answers
Answer:
No it won't
Step-by-step explanation:
Because if the length of the door is either 30 or 84 it wont fit because both of those numbers are less than 86
loook below find the area
Answers
Step-by-step explanation:
step 1. this is a trapezoid. the area A = (b1 + b2)h/2 where b1 is the bottom base and b2 is the top base (per se), and h is the height. this formula is the definition of the area of a trapezoid.
step 2. A = (b1 + b2)h/2 = (22 + 9)(5)/2
step 3. A = 31(5)/2 = 155/2 = 77.5in^2.
Convert the number to scientific notation.
62,004,100=
x10
+
VI
B.
Answers
simplify. 3(2x + 1)
a.7x
b.9x
c.6x+3
Answers
Answer:
C. 6x+3
Step-by-step explanation:
Because 3 is outside of the parentheses so it has to multiply everything inside the parentheses.
3*2x is 6x.
3*1 is 3.
This results in 6x+3.
Step-by-step explanation:
C.6x+3 thats tge answer
what is the slope of the line shown below?
Answers
Answer:
A
Step-by-step explanation:
6/3
I messed up I see what I did wrong, so I leave it hereeee
The sum of two numbers is 369 the difference of those two numbers is 17 which answer choice shows both numbers
Answers
Answer:
(176, 193)
Step-by-step explanation:
Well you forgot to put in the choices, but:
The difference between the numbers is 17. Let's call the smaller number x and the bigger one y
(x + y) = 369
y = x + 17
(x + (x + 17)) = 369
2x + 17 = 369
2x = 352
x = 176
y = x + 17 = 193
X+y=369
X-y=17
X=17+y
(17+y)+y=369
17+2y=369
2y=352
Y=176
X=369-176
X=193
Which is the quotient if 3/5 and 1/10?
Answers
Answer:
6
Step-by-step explanation:
We have two fractions and are asked to find the answer if they both are divided.
3/5 and 1/10.
When we divide fractions, we need to follow KCF
KEEP - Keep the fractions
CHANGE - Change the division sign to a multiplication sign
FLIP - Flip the second fraction
Follow :
KEEP :
3/5 / 1/10
CHANGE :
3/5 * 1/10
FLIP :
3/5 * 10/1
Now we need to multiply, which is simple because it's multiplying across :
[tex]\frac{3*10}{5*1}[/tex]
30/5
Simplify by dividing the numerator and denominator by 5 :
[tex]\frac{30/5}{5/5} = \frac{6}{1}[/tex]
Divide the numerator by denominator :
[tex]\frac{6}{1} = 6[/tex]
The price of a flight was increased by 3% to £720. What was the price before the increase?
Give your answer to the nearest penny.
Answers
hope it helps
Urgent!
1 1/6 - 3/6 =?
Answers
Answer:
1 4/6
Step-by-step explanation:
Answer:
I got 0.66
Step-by-step explanation:
A warren of rabbits has a population of 25. The population is increasing at a rate of 20% per year. How can you write an exponential growth function to find the monthly growth rate?
A. y = 25(1.2)^t
B. y = 25(1.1)^12t
C. y = 25(1.0167)^t
D. y = 25(1.01531)^12t
Answers
Answer:
b
Step-by-step explanation:
The exponential growth function is "[tex]y = 25(1.0167)^t[/tex]". A complete solution is below.
Given:
Population,
25Increasing rate,
r = 20%Now,
The value after 1 year will be:
= [tex]25+(\frac{20}{100} )25[/tex]
= [tex]25+\frac{1}{5}\times 25[/tex]
= [tex]25+5[/tex]
= [tex]30[/tex]
Now
→ [tex]25(1+\frac{R}{100} )^{12} =30[/tex]
→ [tex]R = 1.67[/tex]
hence,
The exponential growth rate to find the monthly growth rate will be:
→ [tex]y = 25(1.0167)^t[/tex]
Thus the above answer i.e., option C is the correct alternative.
Learn more:
https://brainly.com/question/11647902
pls help me thank you!
choose the best answer
3x^2-6x=29
a) no real solutions
b) one distinct, real solutions
c) two distinct, real solutions
Answers
Answer:C
Step-by-step explanation:
8 is the factor of ___________.
(a) 72 (b) 73
(c) 74 (d) 75
Answers
Answer:
72
9 times 8 is 72
pls mark me as brainliest thanks
ILL GIVE 50 POINTS
Which set of statements explains how to plot a point at the location (Negative 3 and one-half, negative 2)?
Start at the origin. Move 3 and one-half units right because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between 3 and 4. Move 2 units down because the y-coordinate is -2.
Start at the origin. Move 3 and one-half units down because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units left because the y-coordinate is -2.
Start at the origin. Move 3 and one-half units down because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units right because the y-coordinate is -2.
Start at the origin. Move 3 and one-half units left because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units down because the y-coordinate is -2.
Answers
Answer:
Option 3 is right
Start at the origin. Move 3 and one-half units down because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units right because the y-coordinate is -2.
Hope this helps:)
It is B from my point of view
Currently a product has a gear ratio of 17:5, driver:driven. If the company wants to change the product to have the same gear ratio but a driver with 34 teeth, how many teeth must go on the the driven gear?
Answers
Answer:
10 teeth must go on the driven gear
Step-by-step explanation:
Let the number of teeth be x
In order for the new product to maintain the same ratio as the old the ratio must remain the same. This means that
17:5 = 34:x
[tex]\frac{17}{5} = \frac{34}{x}\\Now\ let\ us\ cross-multiply\\17 \times x = 5 \times 34\\17x = 170\\dividing\ both\ sides\ by\ 17 \\x = \frac{170}{17} \\x = 10[/tex]
∴ 10 teeth must go on the driven gear
hence ratio = 34:10
What is the solution to the system of equations?
Answers
Answer:
(3, -2)
Step-by-step explanation:
both of the equations are equal to y, which means they are equal to each other.
So you write them as equation(1) = equation(2)
and solve for x.
Next substitute the value of x to any of the equations and find y. And that is how I got (3 , -2)
Hope I was able to help:)
(3x- 1) 71 solve for the equation and x please
Answers
Answer:
x=24
Step-by-step explanation:
The opposite angles are equal as per certain theorems.
3x-1=71
3x=72
x=24
If x is measured in yards and your boss wants a 2" thickness of mulch, how many cubic yards should he order?
Answers
Answer:
1000. Then 1000 divided by 324 = 3.08 cubic yards.
Step-by-step explanation:
Answer:
0.8585 cubic yards
Step-by-step explanation:
inches-->yeards 2/36 in
15.453*2/36 = 0.8585 (tried volume formula)
I figured if the derivative represented the area then x^2*x = x^3 so that would represent the volume of mulch needed.
Solve for c.
-2c = 8
Answers
c = -4.
Explanation:
If you divide -2 to both sides, it should equal -4.
Answer:
c = -4
Step-by-step explanation:
8/-2 = -4
a recipe uses 2 1/4 cup of flower for a batch of cookies and henry makes 10 batch how much flower did he use
Answers
Answer:
22.5 flower
Step-by-step explanation:
2.25 x 10 = 22.5
The answer is 22 and 1/2 cups of flour for 10 batches.
WILL MARK BRAINLIEST pls help (ignore notes)
Answers
Answer:
Step-by-step explanation:
Shaped area perimeter=50(3)+50[tex]\pi[/tex]÷2+50(2)[tex]\pi[/tex]÷4
=150+50[tex]\pi[/tex]
=307.1 cm(correct to nearest tenth)
Find the area of the rectangle.. Single choice.
436 cm squared
399 cm squared
380 cm squared
417 cm squared
Answers
Answer:
399 cm squared.....Do you want explanation ??
Answer:
socratic
Step-by-step explanation:
use socratic take a pic then it searchers for you
Which equation has a greater rate of change than the linear function in the table? A. y = 6x + 13 B. y = -4x-18 C. y = 5x–3 D. y = -3x + 2
Answers
Answer:
A
Step-by-step explanation:
Answer: A
Step-by-step explanation:
can someone explain how im meant to do this please? :)
Answers
Answer:
you have to do
92×98=9016
then 9016=10(here we roud to 1 signification figure)
49×138=6762
6762=6
216×876=189216
189216=1
i think it’s the answers
si 33 es multiplo 11 setiene que 11 es divisor de 33
Answers
Answer:
ABOOMABALACACA VETE ALA VERGA
Step-by-step explanation:
CITA TIEMPOS
110 cm
50 cm
140cm
y у
180 cm
Answers
Answer:
its a little hard sorry I dont know
Evaluate 3m to the second power n to the -2nd power for m= 2 and n= -3
Answers
Answer:
1296
Step-by-step explanation:
3 × 2 = 6
6 to the power -2 = 0.277777777777777777
0.277777777777777777 to the power -2 = 1296