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alisha [4.7K]
3 years ago
9

It is given that y is directly proportional to x. When x = 3, y = 18. (a) Find the equation connecting x and y. (b) Hence, find

(i) the value of y when x = : 12, (ii) the value of x when y = 42.​
Mathematics
1 answer:
guapka [62]3 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

(a)

Given y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition when x = 3, y = 18 , then

18 = 3k ( divide both sides by 3 )

6 = k

y = 6x ← equation of proportion

(b)

(i)

when x = 12 , then

y = 6 × 12 = 72

(ii)

when y = 42

42 = 6x ( divide both sides by 6 )

7 = x

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Please help me with this question step by step. A rectangle has a width of 2x exponent 2 +4x+1) and a length of (8-x). What is t
timurjin [86]

Answer:

A = (2x² + 4x + 1) (8 − x)

A = -2x³ + 12x² + 31x + 8

Step-by-step explanation:

W = 2x² + 4x + 1

L = 8 − x

Area is width times length.

A = (2x² + 4x + 1) (8 − x)

If you wish, you can simplify with distribution.

A = 8 (2x² + 4x + 1) − x (2x² + 4x + 1)

A = 16x² + 32x + 8 − 2x³ − 4x² − x

A = -2x³ + 12x² + 31x + 8

6 0
3 years ago
Kenzie makes quilts from blue and purple pieces of fabric. The diagram shows the ratio of blue pieces to
REY [17]

The purple pieces are 35 and total pieces is 32 if the Kenzie makes quilts from blue and purple pieces of fabric.

<h3>What is the ratio?</h3>

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

The question is incomplete.

The complete question is in the picture, please refer to the picture.

Total number of pieces = 3+5 = 8

So, the purple pieces = 5(5/8) = 35

Total pieces = 20/(5/8) = 4×8 = 32

Thus, the purple pieces are 35 and total pieces is 32 if the Kenzie makes quilts from blue and purple pieces of fabric.

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brainly.com/question/13419413

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3 0
2 years ago
If $12000 is invested in an account in which the interest earned is continuously compounded at a rate of 2.5%
vladimir1956 [14]

Complete Question

If $12000 is invested in an account in which the interest earned is continuously compounded at a rate of 2.5% for 3 years

Answer:

$ 12,934.61

Step-by-step explanation:

The formula for Compound Interest Compounded continuously is given as:

A = Pe^rt

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r = Interest rate = 2.5%

t = Time after t years = 3

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First, convert R percent to r a decimal

r = R/100

r = 2.5%/100

r = 0.025 per year,

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A = 12,000 × e^(0.025 × 3)

A = $ 12,934.61

The total amount from compound interest on an original principal of $12,000.00 at a rate of 2.5% per year compounded continuously over 3 years is $ 12,934.61.

7 0
3 years ago
Suppose that an airline uses a seat width of 16.7 in. Assume men have hip breadths that are normally distributed with a mean of
murzikaleks [220]

Answer:

Step-by-step explanation:

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c) part a is important since even a single person not fitting will cause embarassment and leads to customer dissatisfaction.

5 0
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lidiya [134]
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3 years ago
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