All categories

3 years ago

An airplane's change in altitude before landing is shown in the table. what equation represents this change in altitude?

Mathematics

1 answer:

Stella [2.4K]3 years ago

3 0

Answer:

a=-4000m+39000

Step-by-step explanation:

From the given table, we can see that the difference between any consecutive altitude is 4000 ft.

31000 - 35000 = -4000

27000- 31000 = -4000

23000-27000 = -4000

Hence, it represents an arithmetic sequence with a = 3500 and d = -4000

The general term of an arithmetic sequence is given by

$a_n=a+(n-1)d\\\\a=35000+(m-1)(-4000)\\\\a=35000-4000m+4000\\\\a=-4000m+39000$

You might be interested in

If 2(x + 2) + 4(x - 1) = 8, then 3x =

lubasha [3.4K]

Answer:

3x=4

Step-by-step explanation:

3 0

3 years ago

What is the polynomial function of least degree whose only zeros are -3, ,-2, and 4 ?

victus00 [196]

Answer: (x³ - 2x² - 11x + 12)

Step-by-step explanation:

Recall that zeroes can be transformed into factors by subtracting them from x. This gives us the following factors:

(x - 1)(x + 3)(x - 4)

Now, if you multiply the first two factors together, you get the following:

(x² + 2x - 3)

Multiply that by the last factor, (x - 4), and you get this:

(x³ + 2x² - 3x - 4x² - 8x + 12)

This can be simplified:

(x³ - 2x² - 11x + 12)

And there's your final answer. Hope this helped! (x³ - 2x² - 11x + 12)

7 0

3 years ago

Determine if the series 3/4 + 4/5 + 5/6 is convergent or divergent

vodka [1.7K]

Answer:

DIVERGENT

Step-by-step explanation:

3 0

3 years ago

Andrea is buying some new shirts and sweaters. she is able to buy 3 shirts and 7 sweaters for $137 or she is able to buy 8 shirt

Vikki [24]

Answer:

$33

Step-by-step explanation: ( pls brainiest)

Let the cost of each shirt is $ x, and the cost of each sweater is $ y.

Since, cost of each shirt is $ x, the cost of 3 shirts will be $ 3x and cost of 2 shorts will be $ 2x.

Likewise, cost of each sweater is $ y, so the cost of 2 sweaters will be $ 2y and cost of 4 sweaters will be $ 4y.

Andrea was able to buy 3 shirts and 2 sweaters for $114. This means:

Cost of 3 shirts + Cost of 2 sweaters = 114

3x + 2y = 114 Equation 1

She was able to buy 2 shirts and 4 sweaters for $164. This means

2x + 4y = 164

Dividing both sides by 2, we get:

x + 2y = 82 Equation 2

Subtracting Equation 2 from Equation 1, we get:

3x + 2y - (x + 2y) = 114 - 82

3x + 2y - x - 2y = 32

2x = 32

x = 16

Using the value of x, in Equation 2, we get:

16 + 2y = 82

2y = 66

y = 33

Since, x represents the cost of shirt, the cost of each shirt is $ 16.

y represents the cost of sweater, so the cost of each sweater is $ 33.

7 0

2 years ago

What is the range of the relation below? {(-4,1), (-2,0), (8, -1)}

anyanavicka [17]

Answer:

Range: {-1, 0, 1}

General Formulas and Concepts:

Math

Number Line

Algebra I

Range is the set of y-values that are outputted by function f(x)
{Set Builder Notation}

Step-by-step explanation:

Step 1: Define

[Relation] {(-4, 1), (-2, 0), (8, -1)}

Step 2: Identify

According to the relation, our y-values are 1, 0, and -1. These values would encompass our range.

5 0

3 years ago