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3 years ago

Is x2 + 2y = 4 a function?

Mathematics

2 answers:

BartSMP [9]3 years ago

5 0

Answer:

yes

Step-by-step explanation:

there are variables so it is a function

Rama09 [41]3 years ago

5 0

Answer:

Yes, x^2 + 2y = 4 is a function.

Step-by-step explanation:

x^2 + 2y = 4

Solve for y.

2y = -x^2 + 4

y = -(1/2)x^2 + 2

f(x) = -(1/2)x^2 + 2

Answer: Yes, x^2 + 2y = 4 is a function.

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Smallest to largest 7/12 1/2 2/3 4/10 1/6

hodyreva [135]

The order is 1/6, 4/19, 1/2, 7/12, 7/12, and 2/3.

5 0

3 years ago

Mr. Mika paid a total of $150 to rent a room at a hotel for two nights. The table shows information about four other

julia-pushkina [17]

Answer:

Well, one night at the hotel equals $75.

Step-by-step explanation:

All you have to do is mulitlpy the nights by $75.

The last one is wrong it should be

5 nights = $375.

Hope this helps! Bye

4 0

3 years ago

Line AC is tangent to circle O at point C<br> What is the measure of OAC?

Nuetrik [128]

AC is a tangent so by definition, it touches the circle at exactly one point (point C) and forms a right angle at the tangency point. So angle ACO is 90 degrees

The remaining angle OAC must be 45 degrees because we need to have all three angles add to 180
45+45+90 = 90+90 = 180

Alternatively you can solve algebraically like so
(angle OAC) + (angle OCA) + (angle COA) = 180
(angle OAC) + (90 degrees) + (45 degrees) = 180
(angle OAC) + 90+45 = 180
(angle OAC) + 135 = 180
(angle OAC) + 135 - 135 = 180 - 135
angle OAC = 45 degrees

Side Note: Triangle OCA is an isosceles right triangle. It is of the template 45-45-90.

7 0

3 years ago

What is the sum of 26391 and 7298

Phoenix [80]

Answer:

..............

Step-by-step explanation:

33689

3 0

3 years ago

According to the World Health Organization (WHO) Child Growth Standards, the head circumference for boys at birth is normally di

Elena L [17]

Answer:

$z = \frac{X -\mu}{\sigma}$

This z score tell to us how many deviations we are below or above the mean for a given normal distribution.

For the case of Eddie we got:

$z= \frac{33.2-34.5}{1.3}= -1$

And for the case of Sue we got:

$z = \frac{32.7-33.9}{1.2}= -1$

So then for both cases we see that Eddie and Sue are 1 deviation below the true mean for each gender so then the best conclusion for this case would be:

C.They are the same size relative to other children of the same sex.

Step-by-step explanation:

We can define the random variable X as the head circumference for boys at birth and we know that the distribution for X is given by:

$X\sim N(\mu = 34.5, \sigma=1.3)$

Similarly we can define the random variable Y as the head circumference for boys at birth and we know that the distribution for Y is given by:

$Y\sim N(\mu = 33.9, \sigma=1.2)$

And we know that Eddie was born with 33.2 cm and Sue with 32.7 cm for the head circumference . Since we are interested to determine which child's head circumference is smaller relative to other children of the same sex, we can use the z score formula given by this formula:

$z = \frac{X -\mu}{\sigma}$

This z score tell to us how many deviations we are below or above the mean for a given normal distribution.

For the case of Eddie we got:

$z= \frac{33.2-34.5}{1.3}= -1$

And for the case of Sue we got:

$z = \frac{32.7-33.9}{1.2}= -1$

So then for both cases we see that Eddie and Sue are 1 deviation below the true mean for each gender so then the best conclusion for this case would be:

C.They are the same size relative to other children of the same sex.

5 0

3 years ago