Identify the initial value, a, and base, b, of the function f(x)=ab^x if its graph passes through the points (0, 4) and (1, 20)
Answers
Answer:
a = 4, b = 5
Step-by-step explanation:
Given the exponential function
f(x) = a
Use the given points to find a and b
Using (0, 4 ) , then
4 = a (
= 1 ) , thus
a = 4 , so
f(x) = 4
Using (1, 20 ) , then
20 = 4b ( divide both sides by 4 )
b = 5
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The sum of seven and 5 times a number is 48
Sales of Volkswagen's popular Beetle have grown steadily at auto dealerships in Nevada during the past 5 years. The sales manager has predicted in 2004 and 2005 sales would be 410 VW's. Using exponential smoothing with a alpha = 0.30 develop a forecast for 2006 through 2010. What is the forecast value for 2010?Please answer to one decimal place. (Example: 466.1)Formula: Ft = Ft-1 + alpha(At-1 - Ft-1)Actual sales data:2005 = 4502006 = 4952007 = 5182008 = 5632009 = 584
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Answer:
3 and 9 both have factors 1 and 3 in common.
Explanation:
A factor is a number that divides into another number exactly and without leaving a remainder. For instance, factors of 15 are 3 and 5, because 3×5 = 15. Some numbers have more than one factorization (more than one way of being factored). For example, 12 can be factored as 1×12, 2×6, or 3×4.
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Answers
Answer:
0.1554
Step-by-step explanation:
.37x.42=.1554
Final answer:
To find the product of 0.37 and 0.42, multiply the numbers together. The missing digits in the empty boxes should be 5 and 4, respectively.
Explanation:
To find the product of 0.37 and 0.42, you need to multiply the two numbers together. The empty boxes represent the missing digits after the decimal point.
The first number, 0.37, has two decimal places, and the second number, 0.42, has two decimal places as well. When you multiply these two numbers, you need to make sure the total number of decimal places in the product matches the sum of the decimal places in the original numbers.
The product of 0.37 * 0.42 is 0.1554. So, the missing digits in the empty boxes should be 5 and 4, respectively.
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Answers
Answer:
i think 5
Step-by-step explanation:
Step-by-step explanation:
In the equation y=mx+b, 'm' is the slope of the line and 'b' is the y-intercept.
First, you should find the slope of the line. To do this, use the equation M=y2-y1/x2-x1. Using the two given points (3,6) and (8,4), you can solve for M.
M=4-6/8-3
M=-2/5 (-0.4 in decimal form)
Now, your equation is y=-0.4x+b
Next you must solve for b to find the y-intercept. You can do this by subbing one of the given points in for x and y.
Using the point (3,6):
y=-0.4x+b
6=-0.4(3)+b
6=-1.2+b
Isolate b:
6+1.2=b
b=7.2
And now you have the equation of the line!
y=-0.4x+7.2 (IN FRACTION FORM: y=-2/5x+36/5)
How many biscuits does each child get?
biscuits.
Gemma gets
biscuits and Zak gets
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Answer:
Gemma gets 3 biscuits
Zak gets 18 biscuits
Step-by-step explanation:
1:6 = 1+6
= 7
1/7 * 21 = 3
6/7 * 21 = 18
Step-by-step explanation:
x+6x=21
7x=21
x=3
6x=3×6= 18
Gemma gets 3 and Zak got 18
Answers
The required sum of -3x, 5x + y, and 7x - 8 - 3y in descending order is 9x - 2y - 8.
What is simplification?
Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve.
Here,
To add -3x, 5x + y, and 7x - 8 - 3y, we can first combine like terms.
Group the x-terms together:
-3x + 5x + 7x = 9x
Group the y-terms together:
y - 3y = -2y
Group the constants together:
-8
Putting it all together, we get:
9x - 2y - 8
Therefore, the sum of -3x, 5x + y, and 7x - 8 - 3y in descending order is 9x - 2y - 8.
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F I N A L A N S W E R
Answers
Answer:
The 25,000 adult American pine trees in the forest.
Step-by-step explanation:
Consider the provided information.
It is given that the forest contains 25,000 adult American pines. The study involves collecting heights from 250 randomly selected adult American pine trees and analyzing the results.
A population is the set of data which includes all of the elements. If one or more observations are drawn form the population then it called a sample.
Here the population is 25,000 adult American pines.
Thus, the required answer is: The 25,000 adult American pine trees in the forest.