Which equation represents an exponential function that passes through the point (2, 36)?f(x) = 4(3)x
f(x) = 4(x)3
f(x) = 6(3)x
f(x) = 6(x)3
Answers
Answer:
The exponential function that passes through (2,36) is:
.
Step-by-step explanation:
We are asked to find which function passes through the point (2,36).
i.e. we will put the input value '2' in the following given functions and check which gives the output value as '36'.
1)
now we put x=2.
hence option 1 is correct.
2)
Now we put x=2.
Hence, option 2 is incorrect.
3)
Now we put x=2
Hence, option 3 is incorrect.
4)
Now we put x=2.
Hence, option 4 is incorrect.
Hence, option 1) is correct.
i.e. The exponential function that passes through (2,36) is:
Answer:
Option A. is the answer.
Step-by-step explanation:
In this question we can get the correct option by plugging in the coordinates of point (2, 36) in the functions given in all options.
Option A.
For (2, 36),
36 = 4×9
36 = 36
It's true so the function passes through the point (2, 36).
Option B.
For, (2, 36)
36 = 4×8
36 = 32
Which is not true.
Therefore, option B is not the answer.
Option C.
For(2, 36)
36 = 6×9
36 = 54
It's not true.
Therefore, option C is not the nswer.
Option D.
For (2, 36),
36 = 6×9
36 = 54
Which is not true.
Therefore, option D is not the answer.
Related Questions
How many minutes are in 3 days? Responses 144 min 144 min 192 min 192 min 1728 min 1728 min 4320 min
A recipe calls for 2 1/3 cups of honey. A second recipe calls for 3 3/4 cups of honey.Which expression should Cindi use to estimate how many cups of honey she needs in order to make sure she has enough for both recipes?A.2 1/2 + 4B. 2 1/2 + 3C. 2 + 4D. 2 + 3 1/2
Helpppppp!!!!!!!!!!and explain too
In the standard (x, y) coordinate plane, what is the slope of the line joining the points (3,7) and (4,−8)?
Answers
Answer:
Mr.Smith paid $29.4.
Step-by-step explanation:
Mr.Smith paid $24.5 plus additional 20% of $24.5, and to figure out the total amount that he paid, we need to know what is 20% of $24.50.
20% of $24.50 is:
.
Mr.Smith paid additional $4.9; therefore, the total amount he paid was
$24.5 + $4.9 = $29.4.
Mr. smith paid $29.4.
Equation 2: 3m = 4 + 4n
Step 1:
−3(m) = −3(8 + 2n) [Equation 1 is multiplied by −3.]
3m = 4 + 4n [Equation 2]
Step 2:
−3m = −24 − 6n [Equation 1 in Step 1 is simplified.]
3m = 4 + 4n [Equation 2]
Step 3:
−3m + 3m = −24 − 6n + 4n [Equations in Step 2 are added.]
Step 4:
0 = −24 − 2n
Step 5:
n = −12
In which step did the student first make an error?
Step 4
Step 3
Step 2
Step 1
Answers
The student first makes an error in the Step 3 where he addsequations in Step 2 to use the elimination method.
What is the elimination method?
To create an equation in one variable using the elimination method, you can either add or subtract the equations. To eliminate a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are in equality.
How to solve this problem?
Notice that the student uses the elimination method to solve the equations. In Step 1, he makes the coefficients of m equal in both equations. In Step 2, he simplifies the previous step. In Step 3, he wants to add both equations to create an equation in one variable. But He forgot to add 4 of Equation 2. It's a mistake.
Therefore the student first makes an error in the Step 3 where he addsequations in Step 2 to use the elimination method.
Know more about the elimination method here -
#SPJ2
Answers
So one rotation of the pedals will cause the front chain drive to complete one full turn, so it will move the chain the same distance as it's circumference.
So it will move the chain (2.2 Pi )inches. Then the back drive has a circumference of 3pi inches, but it only turns 2.2pi inches. So it turns 2.2pi/3pi = 11/15 of a full rotation. Since the wheel turns at the same rate as the back chain drive, the wheel will turn 11/15 of a full turn as well.
And since the back wheel is 26 inches in diameter, it's circumference is 26pi inches. If it turned a full rotation, it would go this distance along the ground, but it is only going 11/15 of this distance, so it is going (11/15)x 26pi =(286/15)pi inches. Or approximately 59.8997 inches.
Answers
Answers
Answer:
triangle inequality: the sum of the length of two sides of a triangle must always be greater than the length of the third side.
we know 2 sides whose sum = 5+8 = 13cm
the 3rd side must be <13 included
the length of the third side must be less than 13 cm, i.e. between 1 and 13 (it cannot be equal to 0 because in this case it does not exist)
Answers
we are given points A and B
A=(3,150)
B=(4,200)
we can find points
x1=3 , y1=150
x2=4 , y2=200
(a)
the change in y-values from Point A to Point B is
now, we can plug values
...........Answer
(b)
the change in x-values from Point A to Point B is
now, we can plug values
...........Answer
(c)
the rate of change of the linear function in feet per second is
now, we can plug values
.................Answer
The straight line graph indicates that rate of change of the distance traveled with time by the red kangaroo is a constant
- The change in y-values from point A to point B is 50 feet.
- The change in x-values from point A to point B is 1 second.
- The rate of change of the linear function is 50 feet per second.
Reasons:
The y-values at point A = 150 feet
The y-values at point B = 200 feet
Change in y-values from point A to point B, Δy is given as follows;
Δy = y-values at point B - y-values at point A
Δy = 200 feet - 150 feet = 50 feet
Change in y-values from point A to point B, Δy = 50 feet
The x-values at point A = 3 seconds
The x-values at point B = 4 seconds
Change in x-values from point A to point B, Δx is given as follows;
Δx = x-values at point B - x-values at point A
Δx = 4 seconds - 3 seconds= 1 second
Change in x-values from point A to point B, Δx = 1 second.
The rate of change of the linear function is , therefore, we have;
Learn more here: