The function f(x) = 2 • 5x can be used to represent the curve through the points (1, 10), (2, 50), and (3, 250). What is the multiplicative rate of change of the function?

Answers

Answer 1

Answer: The MRC (multiplicative rate of change) can be solved using this formula:
MRC = f(x2)/f(x1) / (x2 - x1)
If we use the coordinates (1,10) and (2,50),
MRC = 50/10 / (2-1) = 5

If we use the coordinates (2,50 and (3,250)
MRC = 250/50 / (3-2) = 5

The MRC will be the same since the function is an exponential function.

Answer 2

Answer:

The multiplicative rate of change of the function f(x) = 2 * 5^x is 5

How to determine the multiplicative rate?

The function is given as:

f(x) = 2 * 5^x

The above function is an exponential function.

An exponential function is represented as:

f(x) = ab^x

Where b represents the multiplicative rate

By comparison;

b = 5

Hence, the multiplicative rate of change of the function is 5

Read more about exponential functions at:

brainly.com/question/11464095

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What is the slope of the equation for y=9-1.5x

Answers

$The\ slope-intercept\ formula:y=mx+b\n\nm\to the\ slope\nb\to\ y-intercept\n------------------\n\ny=9-1.5x\ny=-1.5x+9\n\n\boxed{The\ slope\ m=-1.5}$

This is called slope-intercept form. It is when a linear equation is written y=mx+b.
The m is the slope (rise over run or rate of change) and the b is the y-intercept (where this line crosses the y-axis).
So Think of rewriting this equation as:
y=-1.5x+9
Looks like y=mx+b doesn't it.
This means -1.5=m and thus the slope is -1.5.

How do you solve this?

Answers

you X to the second power.. 4 to the second power is 16 and 16-16=0 so x=4

Add 16
x² - 16 = 0
+ 16 +16

x² = 16
Take square root

$√(x^2) = √(16)$

Remember when you take the square root of a perfect square you get two values. +ve and -ve

x = -4
x = 4

because (-4)² = 16
( 4)² = 16

Factor the expression.15n−18

Enter your answers in the boxes to complete the factored expression.

Answers

15n - 18 = 3(5n -6)
I suppose that's all...

Answer:15n - 18 = 3(5n -6)

Step-by-step explanation:

Two equations are given below:m + 4n = 8
m = n − 2

What is the solution to the set of equations in the form (m, n)?

(4, 6)

(2, 4)

(0, 2)

(6, 8)

Answers

Good morning Brainiac

m=n-2

m+4n=8

We need to solve m=n-2 for m

Substitute n-2 for m in m+4n=8

m+4n=8

n-2+4n=8

5n-2=8

Add 2

5n-2+2=8+2

5n=10

Now divide both sides by 5 so we can find the value for n

5n/5=10/5

n=2

Now substitute 2 for n in m=n-2

m=n-2

m=2-2

m=0

Answer : C

(0,2)

I hope that's help:0

Answer: C: (0, 2)

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Suppose y = 48 + 3(2n - 1) is an explicit representation of an arithmetic sequence for integer values n ≥ 1. Find the xth partial sum of the series, as a quadratic function, where x represents the term number.

Answers

Answer: 3x2 + 51x

Step-by-step explanation:

$a_n=48+3(2n-1)$

The formula of the sum of the arithmetic sequence:
$S_n=(a_1+a__n)/(2)\cdot n$
calculate:
$a_1=48+3(2\cdot1-1)=48+3=51$
substitute
$S_n=(51+48+3(2n-1))/(2)\cdot n=(99+6n-3)/(2)\cdot n=(96+6n)/(2)\cdot n=3n^2+48n$
Your answer is:
$\boxed{f(x)=3x^2+48x}$

The data set below has an outlier.2, 10, 10, 11, 11, 12, 12, 12, 13, 14, 14

Which value is changed the most by removing the outlier?

A: the range
B: the median
C: the lower quartile
D: the interquartile range

Answers

Data set: 2, 10, 10, 11, 11, 12, 12, 12, 13, 14, 14

range: 14 - 2 = 12
median: 12
lower quartile = 10
interquartile range = 4

Data set w/o outlier 2: 10, 10, 11, 11, 12, 12, 12, 13, 14, 14

range: 14 - 10 = 4
median: 12
lower quartile: 10.5
interquartile range = 3.5

The value that change the most by removing the outlier is A.) THE RANGE.

To answer the problem above, we must define what an outlier is. An outlier is a number in a set of data that is smaller or larger than the rest of the data. In this problem, the outlier is 2. To know which value changed the most we solve each with and without the outlier.
A. range: 12(with), 4(without)
B. median: 12 (with), 12 (without)
C. lower quartile: 10.5(with), 11(without)
D. interquartile range: 2(with), 2(without)

The answer is A. range.

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