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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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g A manufacturer of sprinkler systems designed for fire protection claims that the average activating temperature is at least 13

Luden [163]

Answer:

There is enough evidence to reject the manufacturer’s claim and the standardized test statistic z is -3.43

Step-by-step explanation:

A manufacturer of sprinkler systems designed for fire protection claims that the average activating temperature is at least 135°F.

So, Null hypothesis: $H_0:\mu \geq 135$

Alternate hypothesis : $H_a:\mu$

To test this claim, you randomly select a sample of 32 systems and find the mean activation temperature to be 133°F.

x=133

n = 32

Population Standard deviation = $\sigma = 3.3^{\circ}F$

Formula : $z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

$z=\frac{133-135}{\frac{3.3}{\sqrt{32}}}\\\\z=-3.428$

z=-3.43

Refer the z table for p value

p value = 0.0003

$\alpha = 0.10$

p value < α

So, we failed to accept null hypothesis

Hence there is enough evidence to reject the manufacturer’s claim and the standardized test statistic z is -3.43

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3 years ago

Given: x + 2y = -6. Solve for x. Type a numerical answer in the space provided.

Alex Ar [27]

Answer:

x=-2y-6

Step-by-step explanation:

Subtract 2y from both sides, and now you have x=-2y-6.

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3 years ago

The sum of ten and the quotien of a number x and 6

Nana76 [90]

10+ x/6 i believe this is the answer

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4 years ago

Read 2 more answers

mark is an auto dealer he sold a car and made a loss of 10% if his loss was $150000 A calculate how much he sold the car for B w

storchak [24]

Answer:

A. he sold the the car for 1350000

B. his cost price is 1500000

Step-by-step explanation:

A. 150000---> 10%

x-----> 90%

cross multiplication: x=150000×90/10=1350000

B. 10%( price) +90%(price)

1350000+150000=1500000

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3 years ago

If a point, Ray, line segment, or plane intersects a segment at its midpoint, then it______ the segment

frez [133]

Answer: If A Point, Ray, Line Segment, or Plane intersects a segment at its midpoint, then it Bisects the segment.

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4 years ago