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Lorico [155]
3 years ago
15

A diamond today cost ten dollars more than twice what it cost last year.The sum of the cost (last year and this year) is $2500.

What is the cost of last year diamond? What are the reasonable domain and range?
Mathematics
1 answer:
nadya68 [22]3 years ago
6 0

Answer:

The cost of the diamond last year is x = $ 830

Step-by-step explanation:

Let the cost of diamond last year = x

the cost of diamond present year = y

Given that diamond today cost ten dollars more than twice what it cost last year.

⇒ y = 2 x + 10  ------ (1)

The sum of the cost (last year and this year) is  = $ 2500

⇒ x + y = $ 2500 -------- (2)

Put the value of y in equation (2) from equation (1), we get

⇒ 2 x + 10 + x = $ 2500

⇒ 3 x = 2490

⇒ x = $ 830

& y = 2500 - 830

⇒ y = $ 1670

Therefore the cost of the diamond last year is x = $ 830

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(0, e-1) or (0, 1.718) to the nearest thousandth.

Step-by-step explanation:

The y-intercept occurs when x = 0 so here we have:

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Do the ratios 20/10 and 1/2 form a proportion?
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Given a  quadratic function for the transformations given  the function f(x) = x²

If the function g(x) of the graph is translated 4 units to the left, the equation becomes (x-4)² (note that we subtracted 4 from the x value

  • Translating the graph 1 unit up will give the final function g(x) as (x-4)² + 1 (We added 1 since it is an upward translation.)

Hence the equation g(x) in vertex form of a  quadratic function for the transformations  whose graph is a  translation 4 units left and 1 unit up of the  graph of f(x) is (x-4)² + 1

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Step-by-step explanation:

So first we need to plug in 5 as the variable a and -7 as the variable b

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Now we subtract negative 7 from 20

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This can also be written as 20 plus 7 as a mathematical rule states: two negatives make a positive. So:

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Both of these are equivalent in every sense of the word and give us our final answer of 27

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3 years ago
Read 2 more answers
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