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3 years ago

Look at the table below. Plot and label points M and N on the coordinate

Mathematics

1 answer:

marta [7]3 years ago

6 0

M = (1,4)
N = (5,2)

For M, you simply move to 1 on the x axis abs for 4 you move on the y axis. Same does for N, for 5 you move on the x axis and for 2 you move on the y axis.

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How do you say the number 4.293?<br> Also, write two other forms of this number.

Elodia [21]

Four point two-hundred ninety three

8 0

3 years ago

Read 2 more answers

Alec starts up a monthly subscription potato box. It costs 18.20 dollars per month,

denis-greek [22]

A. The formula (mathematical function) for the monthly revenue, R, earned by Alec, R(s, n) = <u>$18.20s + $5n</u>.

B. Using the formula above, the value of R(10, 3) is $197.

<h3>What is a function?</h3>

A function is an expression, rule, or law defining the relationship between an independent variable and a dependent variable.

Functions are used to define physical relationships between variables.

<h3>Data and Calculations:</h3>

Cost monthly subscription = $28.20 per box

Number of normal potatoes in each box = 16

Cost of additional luxury potatoes = $5 per potato

If the monthly revenue function, R, is given as R(s, n) where:

s = number of monthly subscribers

n = total number of luxury potatoes ordered

The monthly revenue, R, earned by Alec, R(s, n) = <u>$18.20s + $5n</u>.

The value of R(10, 3) is $197 ($18.20 x 10 + $5 x 3)

Thus, using the formula above, the value of R(10, 3) is $197.

Learn more about mathematical functions at brainly.com/question/25638609

#SPJ1

6 0

2 years ago

Work out the formula of the nth term in the following quadratic sequence:<br> 19, 15, 9, 1...

Butoxors [25]

In a quadratic sequence we'll get a linear first difference and a constant second difference. Let's verify that.

n 1 2 3 4

f(n) 19 15 9 1

1st diff -4 -6 -8

2nd diff 2 2

We see that we got a constant second difference. We could just extend that and work back up to get more values.

n 1 2 3 4 5 6 7

f(n) 19 15 9 1 -9 -21 -35

1st diff -4 -6 -8 -10 -12 -14

2nd diff 2 2 2 2 2

That's just an aside; we're after the general formula. We have

f(1)=19, f(2)=15, f(3)=9

In general we can assume

f(n) = an² + bn + c

We get three equations in three unknowns,

19 = a(1²)+b(1)+c = a+b+c

15 = a(2²) + b(2) + c = 4a + 2b + c

9 = a(3²) + b(3) + c = 9a + 3b + c

That's a 3x3 linear system; it's easy to solve directly. Subtracting pairs,

4 = -3a - b

6 = -5a - b

Subtracting those,

-2 = 2a

a = -1

b = -3a -4 = -1

c = 19-a-b = 21

Answer: f(n) = -n² - n + 21

Check:

f(1) = -1 - 1 + 21 = 19, good

f(2) = -4 - 2 + 21 = 15, good

f(3) = -9 - 3 + 21 = 9, good

f(4) = -16 - 4 + 21 = 1, good

Let's check our extended table, how about

f(7)= -49 - 7 + 21 = -35, good

6 0

3 years ago

Identify the domain and range of the function f(x) = x2 - 10x + 21

My name is Ann [436]

Idk sorry I am not that good at math :)

5 0

3 years ago

Identify the interval(s) on which the function y = x^2-3x-40 is positive

MakcuM [25]

Answer:

See below

Step-by-step explanation:

x^2-3x-40 Factor

(x - 8) (x + 5)

The x intercepts are -5 and 8

(negative infinity, -5)

(8, positive infinity)

3 0

2 years ago