Find two consecutive whole numbers such that 4/7 of the larger exceeds 1/2 of the smaller by 5

The consecutive numbers are 62 and 63

Step-by-step explanation:

Let the larger number be represented by x and the smaller number by y,

Provided they are consecutive numbers;

--- Equation 1

From the question; we have that

--- Equation 2

Required

Find x and y

Multiply both sides of equation 2 by 14

---- Equation 3

Substitute y + 1 for x in equation 2

Open bracket

Collect like terms

So,

Hence, the consecutive numbers are 62 and 63

range is infinite on both x and y axis positive and negative

step-by-step explanation:

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation: