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3 years ago

Select the correct answer. Which table shows a proportional relationship between x and y?

Mathematics

2 answers:

asambeis [7]3 years ago

7 0

Answer:

Step-by-step explanation:

If x and y are proportional then the ratio y/x is constant.

$A.\\\\\dfrac{4}{2}=2,\ \dfrac{6}{3}=2,\ \dfrac{9}{4}\neq2\\\\B.\\\\\dfrac{4}{3},\ \dfrac{16}{9}\neq\dfrac{4}{3}\\\\C.\\\\\dfrac{12}{4}=3,\ \dfrac{15}{5}=3,\ \dfrac{18}{6}=3\ \qquad\bold{CORRECT}\\\\D.\\\\\dfrac{4}{1}=4,\ \dfrac{8}{2}=4,\ \dfrac{15}{3}=5\neq4$

wolverine [178]3 years ago

3 0

Answer: The answer would be choice C because there is a constant rate of change of 3 :)

Step-by-step explanation:

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A polynomial function has zeros at 5/2 (multiplicity 2), 3 (multiplicity 1), and 0 (multiplicity 4). Write a function in standar

aalyn [17]

Answer:

-75 x^4 + 85 x^5 - 32 x^6 + 4 x^7

Step-by-step explanation:

$(x-5/2)^{2}(x-3)(x-0)^4 =0\\(2x-5)^{2}(x-3)(x)^4 =0$

Expand and get

-75 x^4 + 85 x^5 - 32 x^6 + 4 x^7

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3 years ago

A rectangle is 8 feet long. Its width is represented by “seven plus x feet.” Which expression represents the area, in square fee

Musya8 [376]

56 + 8x

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2 years ago

An engineer, in an attempt to make a quick measurement, walks 100 ft from the base of an overpass

Korvikt [17]

Answer:

The distance of the overpass above the ground is approximately 26.795 ft

Step-by-step explanation:

The parameters given are;

The distance from the overpass the engineer stands before determining the angle of elevation of the overpass from his standing point = 100 ft

The angle of elevation of the overpass as determined by the engineer from 100 ft = 15°

By trigonometric ratios, we have;

$Tan(\theta) = \dfrac{Opposite \, side \, to\ angle}{Adjacent\, side \, to\, angle}$

The opposite side to the 15° angle of elevation in the above case is the distance of the overpass above the ground

The opposite side to the 15° is the distance of the engineer from the base of the overpass

Therefore;

Tan(15°) the height of the overpass=

length

$Tan(15 ^{\circ}) = \dfrac{The \ distance \, of \, the \ overpass \ above \ ground}{100 \ ft}$

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6 0

3 years ago

Rewrite y = 2x + 1 in function notation.

Arada [10]

f(x) = 2x - 7 This should be the answer!!

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3 years ago

Read 2 more answers

You have 2 different savings accounts. For Account A, the simple interest earned after 21 months is $13.65. For Account B, th

Rama09 [41]

Answer:

Step-by-step explanation:

The formula for simple interest is expressed as

I = PRT/100

Where

P = principal

T = time in years

R = interest rate on the principal.

For account A, the simple interest earned after 21 months is $13.65. The interest rate is 3.9% for Account A

Let y represent the principal for account B. Therefore

P = x

I = $13.65

T = 21/12 = 1.75 years

R = 3.9

Therefore

13.65 = (x × 3.9 × 1.75)/100

1365 = 6.825x

x = 1365/6.825 = $200

For account B, the simple interest earned after 30 months is $40.25. The interest rate is 2.3% for Account B

Let x represent the principal for account A. Therefore

P = y

I = $40.25

T = 30/12 = 2.5 years

R = 2.3

Therefore

40.25 = (y × 2.3 × 2.5)/100

4025 = 5.75y

y = 4025/5.75 = $700

The principal for account A is $200

The principal for account B is $700

For account A, interest earned in the first month is

13.65/21 = $0.65

For account B, interest earned in the first month is

40.25/30= $1.34

Account B earned the most interest in the first month(the same interest is earned every month)

3 0

4 years ago