All categories

2 years ago

Eliminate the parameter. x = t2 + 3, y = t2 - 2

Mathematics

1 answer:

abruzzese [7]2 years ago

8 0

Answer: y = x - 5

Step-by-step explanation:

"Eliminate the parameter" means we want to eliminate the extra variable and rewrite it ias one equation that only contains x, y, and possibly a constant.

The extra variable in the equations is "t". Manipulate one of the equations to solve for t². Then substitute t² = _____ it into the other equation.

x = t² + 3 → x - 3 = t²

y = t² - 2

y = (x - 3) - 2

y = x - 5

You might be interested in

Suppose a simple random sample of size nequals36 is obtained from a population with mu equals 74 and sigma equals 6. (a) Descri

OlgaM077 [116]

Part a)

The simple random sample of size n=36 is obtained from a population with

$\mu = 74$

and

$\sigma = 6$

The sampling distribution of the sample means has a mean that is equal to mean of the population the sample has been drawn from.

Therefore the sampling distribution has a mean of

$\mu = 74$

The standard error of the means becomes the standard deviation of the sampling distribution.

$\sigma_ { \bar X } = \frac{ \sigma}{ \sqrt{n} } \\ \sigma_ { \bar X } = \frac{ 6}{ \sqrt{36} } = 1$

Part b) We want to find

$P(\bar X \:>\:75.9)$

We need to convert to z-score.

$P(\bar X \:>\:75.9) = P(z \:>\: \frac{75.9 - 74}{1} ) \\ = P(z \:>\: \frac{75.9 - 74}{1} ) \\ = P(z \:>\: 1.9) \\ = 0.0287$

Part c)

We want to find

$P(\bar X \: < \:71.95)$

We convert to z-score and use the normal distribution table to find the corresponding area.

$P(\bar X \: < \:71.95) = P(z \: < \: \frac{71.9 5- 74}{1} ) \\ = P(z \: < \: \frac{71.9 5- 74}{1} ) \\ = P(z \: < \: - 2.05) \\ = 0.0202$

Part d)

We want to find :

$P(73\:$

We convert to z-scores and again use the standard normal distribution table.

$P( \frac{73 - 74}{1} \:< \: z$

5 0

3 years ago

I need help with number 52! And I haven’t done 51

Wittaler [7]

Answer:

51. A/P = (2.2t +25)/(2.6t +29)

52. A/P for t=0 is about 0.862

A/P for t=4 is about 0.858

Step-by-step explanation:

51. The ratio of the two given functions is ...

r(t) = A/P

r(t) = (2.2t +25)/(2.6t +29)

52. Fill in the required numbers and do the arithmetic.

r(0) = (0 +25)/(0 +29) = 25/29

r(0) ≈ 0.862

r(4) = (2.2·4 +25)/(2.6·4 +29) = 33.8/39.4

r(4) ≈ 0.858

The salary ratio is approximately flat at 0.86 over the 4-year period. It is declining slightly each year.

5 0

3 years ago

Which power does this expression simplify to? [(7)(7) 1 - - ооо 74 O

Paha777 [63]

Step-by-step explanation:

Answer is in attached image...

hope it helps

6 0

3 years ago

HELP ASAP 20 An online media service offers video and music downloads. Each download of a song costs $1. Each download of a vide

lutik1710 [3]

EIGHTEEN SONGS AT A DOLLAR EACH. SEVEN VIDEOS AT SIX BUCKS EACH IS FORTY-TWO DOLLARS. together they equal $60

6 0

3 years ago

Read 2 more answers

Can anyone help. Greatly appreciate:)

PilotLPTM [1.2K]

Answer:

Area= 12 units squared, Perimeter= 16.12899

Step-by-step explanation:

$AC= \sqrt{(4-0)^{2}+ (0+4)^{2}} = 4\sqrt{2}$

$AB= \sqrt{(0-4)^{2}+ (2-0)^{2} } = 2\sqrt{5}$

$BC= \sqrt{(0-0)^{2}+ (2+4)^{2} }= 6$

So, perimeter= $4\sqrt{2} + 2\sqrt{5} +6= 16.12899$

$Area= \frac{1}{2}bh\\$

$= \frac{1}{2}BC\sqrt{(4-0)^{2}+(0-0)^{2} }$

$= 12$ $units^{2}$

6 0

2 years ago