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1 year ago

X^2+y^2=1 yes or no relation represents a function or not

Mathematics

1 answer:

sleet_krkn [62]1 year ago

6 0

We are asked to decide if the expression:

x^2 + y^2 = 1 represents a function.

We recall that in order to have a function, we need for a given value of x to have a SINGLE value of y associated with it.

So in this case, when x is 0 for example, we have the following:

0^2 + y^2 = 1

then y^2 = 1

and we realize that there are TWO values of y whose square form gives 1 (one is 1 and the other -1) Therefore, this relationship is NOT a function, since for example when x = 0 there are TWO values of y to which that x is associated (y = 1 and y = -1).

So please select that this is NOT a function for your answer.

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Cammie can mow 1/2 acre in 25 minutes. If her rate is constant, Cammie says she can mow 1 1/4 acres in one hour. Is Cammie corre

wlad13 [49]

Answer: No, Cammie is not correct. She can mow $1\frac{1}{5}\ acres$ in one hour (See explanation).

Step-by-step explanation:

Convert the mixed number to an impoper fraction:

1. Multiply the whole number part by the denominator of the fraction and add the product to the numerator.

2. The denominator does not change.

Then:

$1\frac{1}{4}=\frac{(1*4)+1}{4}=\frac{5}{4}$

Let be "x" the acres Cammie can mow in one hour.

You know that she can mow $\frac{1}{2}\ acre$ in 25 minutes, then you can set up the following proportion (Remember that 1 hour has 60 minutes):

$\frac{\frac{1}{2}}{25}=\frac{x}{60}$

Solving for "x", you get:

$\frac{\frac{1}{2}}{25}=\frac{x}{60}\\\\(60)(\frac{1}{50})=x\\\\x=\frac{6}{5}$

Convert from improper fraction to mixed number:

1. When you divide 6 by 5, the quotient is 1. This will be the whole number part.

2. The remainder is 1. This will be the numerator.

3. The denominator does not change.

Then:

$x=1\frac{1}{5}$

Therefore, she can mow $1\frac{1}{5}\ acres$ in one hour.

5 0

3 years ago

Create two whole number division problems that have a quotient of 9 and a remainder of 5. Justify which is greater using decimal

Setler [38]

59 ÷ 6 = 9 R 5
86 ÷ 9 = 9 R 5.

Because division can also be expressed as a decimal:

59/6 = 9.833
86/8 = 9.556

So, 59 ÷ 6 is greater.

5 0

3 years ago

Don't mind the writing I did it was wrong so plz answer

user100 [1]

Um i dont understand your question

4 0

3 years ago

Find the interest earned on 45,000 at 14% for 8 years

nevsk [136]

Answer:

$128366.39

Step-by-step explanation:

We will use the Simplified Compound Interest Equation:

P = C(1 + r)^t

P = 45000(1+0.14)^8

P = 45000(1.14)^8

P = 128366.389

So about $128366.39

5 0

3 years ago

Read 2 more answers

What’s the slope of the line?

iragen [17]

Answer: -x or -1x (same thing)

Explanation: To find the slope you go down first and the left or right then you put it into a fraction you how many up or down on top of how many left or right. With this line it goes down one and then right one so the slope is -1/1 or -1 or you can put it as nothing.

6 0

3 years ago