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3 years ago

Domain and range of 10x - 2y = 4

Mathematics

1 answer:

Anna71 [15]3 years ago

5 0

Answer:

domain: (-∞,∞)

range: (-∞,∞)

Step-by-step explanation:

You need to convert this into a linear equation (y=mx+b)

So we add 2y and divide by 2 to get y by itself

that gives us 5x-2=y

If you pictures this graph in your head you'll see that the domain and range are all real numbers

You might be interested in

Which graph represents the function y = cos(4x)?

nydimaria [60]

I jus need points so but I’m doing the same thing so I think it’s 3

5 0

3 years ago

Approximate the value of 44 (Square root) to the nearest hundreth

Svetlanka [38]

I assume that calculators are not allowed, perhaps not even paper and pencil.

With paper and pencil, there is an algorithm to find the square-root of any number accurate to as many digits as we wish. Please post if that is the case.

Without calculator, pen and pencil, we resort to mental arithmetic. Someone with a little practice can memorize or calculate the square of all numbers up to 100, or as many as one can.

Here we can take advantage of exactly the property suggested by Xisca... that is, sqrt(44)=2sqrt(11), which reduces the calculation to more accuracy with a lesser knowledge of the squares of numbers.

As a first approximation, we know that 33*33=1089, or 3.3*3.3=10.89, which is already very close to 11.

Thus a first approximation to sqrt(44)=2sqrt(11)=2*3.3=6.6 (approximately).

To refine the calculation of sqrt(11), we use Newton's approximation, namely

a better approximation is given by 3.3 + (11 - 3.3^2) / (2*3.3) = 3.3+0.11/6.6 = 3.3+1/60

which gives

sqrt(44) = 2(3.3+1/60) = 6.6+1/30 = 6.6333,

actually accurate almost to the nearest 1/10000.

All of the above can be done mentally

For those who need help with rounding to the nearest hundredth (0.01), we drop digits AFTER the 2nd decimal, namely *.**33. If the first digit dropped is 5 or more, add one to the last digit retained, otherwise, retain only the two digits after the decimal. In this case, the first digit dropped is 3, so it will simply be dropped. The final answer is then 6.63, to the nearest hundredth.

5 0

3 years ago

Read 2 more answers

You buy butter for $4.04 a pound. One portion of onion compote requires 1.7 oz of butter. How much does the butter for one porti

NNADVOKAT [17]

Answer:

im pretty sure its 4.04 x 1.7 = 6.868

Round that and its $7.00

3 0

3 years ago

Read 2 more answers

A bank loaned out $37,500, part of it at the rate of 11% annual interest, and the rest at 9% annual interest. The total interest

kondaur [170]

Answer:

The Loan amount at 11 % interest rate is $ 18,500 And

The Loan amount at 9 % interest rate is $ 19,000

Step-by-step explanation:

Given as :

Let The loan given at interest rate of 11 % annual = $ x

And The loan given at interest rate of 9 % annual = ($37,500 - $ x)

Total interest fro both loan = $3745

I.e CI 1 + CI 2 = $3745

Now, From compound interest method :

$Amount= Principal\times (1 + \frac{Rate}{100})^{Time}$

$A 1 = $ 1\times (1 + \frac{11}{100})^{1}$

Or, A 1 = $ 1.11 x

<u>Similarly</u>

$A 2 = ($37,500 -x ) \times (1 + \frac{9}{100})^{1}$

Or, A 2 = 1.09 × ($37,500 - $ x)

∵ Compound Interest = Amount - principal

Or, $ 3745 = CI 1 + CI 2

Or, $ 3745 = ($ 1.11 x - $ x) + ( 1.09 × ($37,500 - $ x) - ($37,500 - $ x) )

Or, $ 3745 = $ .11 x+ ($37,500 - $ x) ( .09 )

Or, $ 3745 = $ .02 x + $ 3375

or, 0.02 x = $ 3745 - $ 3375

∴ x = $ $\frac{370}{.02}$

SO, x = $ 18,500

And $ 37500 - x = $ 19,000

Hence The Loan amount at 11 % interest rate is $ 18,500 And

The Loan amount at 9 % interest rate is $ 19,000 Answer

4 0

4 years ago

This doesn't make any sense, and this is all the question is, no more then what I put.

AfilCa [17]

Usually when a question is formatted this way without values for either variable, they want a literal equations olving for a varible, which is x in this case.

44x=l

Divide both sides by 44
x=l/44

Final answer: x=l/44

5 0

4 years ago