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Pie
3 years ago
13

Melinda has shown that a function, f(x), increases by 4 for every unit in the domain. What does this prove?

Mathematics
2 answers:
inn [45]3 years ago
5 0
It proves The function f(x) is an arithmetic sequence.
loris [4]3 years ago
5 0

Answer:-The function f(x) is an arithmetic sequence.


Explanation:-

Let a_1 be the initial value

According to the question

a_2=a_1+4

a_3=a_2+4\\\Rightarrow\ a_3=(a_1+4)+4\\\Rightarrow\ a_3=a_1+4+4\\\Rightarrow\ a_3=a_1+2(4)\\\Rightarrow\ a_3=a_1+2\times4\\\Rightarrow\ a_3=a_1+(3-1)4  and so on

Thus, we can write a formula for the term n of an arithmetic sequence in the form:

a_n=a_1+(n-1)4

where, n=1,2,3,4,....

4= common difference

Therefore, the function f(x) is an arithmetic sequence.

  • An arithmetic sequence is a sequence of numbers in which each term increases or decreases by a constant number.

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find the simple interest on 10000 from 1 July to 12 september 2007 at 5% per year calculate the interest​
rusak2 [61]

Answer:

Simple interest: 83.33, Final amount: 10083.33

Step-by-step explanation:

you dont get a explanation >:)

6 0
3 years ago
a florist is told that 40% of the 350 flowers ordered must be red roses how many roses must be in the order
Nina [5.8K]

Answer:

140 because half which is (%50) of 350 is 175 so 40% of 350 is 140

7 0
2 years ago
assuming that no questions are left unanswered, in how many ways can a six-question quiz with 4-choice multiple choice questions
AfilCa [17]

Given:

Total number of questions = 6

Choice for each question (in MCQ) = 4

Assuming that no questions are left unanswered.

To find:

The total number ways to answer the quiz, assuming that no questions are left unanswered.

Solution:

Here, Number of ways to answer each question = 4

To find the  total number ways to answer 6 MCQ, we have to have to multiply number of ways to answer each question 6 times.

Total number of ways to answer six-question quiz with 4-choice multiple choice questions is

4\times 4\times 4\times 4\times 4\times 4=4096

Therefore, the required number of ways is 4096.

3 0
3 years ago
The following expressions shows a
Aleksandr-060686 [28]

Answer:

A is the answer.

Step-by-step explanation:

2 is the index for this expression.

7 0
2 years ago
Are AB and CD parallel, perpendicular, or neither?*<br> 1. A(-4, 8), B(4, 10), C(1, 1), D(-2, 13)
ohaa [14]

Answer:

Perpendicular

<em />

Step-by-step explanation:

Given

A = (-4, 8)

B = (4, 10)

C = (1, 1)

D = (-2, 13)

Required

Is AB and CD parallel?

First, we need to calculate the slope (m) of AB and CD

m = \frac{y_2 - y_1}{x_2 - x_1}

For AB:

A (x_1,y_1)= (-4, 8)

B(x_2,y_2) = (4, 10)

So:

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{10 - 8}{4 - (-4)}

m = \frac{10 - 8}{4 +4}

m = \frac{2}{8}

m = \frac{1}{4}

For CD:

C(x_1,y_1) = (1, 1)

D(x_2,y_2) = (-2, 13)

So:

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{13 - 1}{-2 - 1}

m = \frac{12}{-3}

m = -4

For Lines to be parallel, the slope must be equal:

i.e. m_1 = m_2

This condition is not true because:

\frac{1}{4} \neq -4

For Lines to be perpendicular, the slope must be:

m_1 = -\frac{1}{m_2}

This implies:

\frac{1}{4} = -\frac{1}{-4}

\frac{1}{4} = \frac{-1}{-4}

\frac{1}{4} = \frac{1}{4}

<em>Hence, the lines are perpendicular</em>

6 0
3 years ago
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