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3 years ago

Which equation is the inverse of y = x2 – 36?

Mathematics

2 answers:

Sholpan [36]3 years ago

3 0

Its B.y=±√n+36

i hope that helps

Inessa [10]3 years ago

3 0

Answer:

The given equation of the curve is

y= x² - 36

To find it's inverse we have to convert y in terms of x.

So, adding 36 to both sides of equation

→ y + 36=x² -36 + 36

→ y + 36 = x²

→ x² = y+ 36

→ x = $\pm$ $\sqrt{y+36}$

Now, to find inverse you can replace x by y, so by replacing x by y, the above equation becomes

y = $\pm\sqrt{x+36}$

Second option is correct.

You might be interested in

The cost of fencing a Square Garden is 400 at the rate of 1 per metre find its length

grin007 [14]

Here Is The Answer:

Perimeter of garden = 400 m

side of square = 400 / 4

= 100 m

Area of garden => 100 m x 100 m

=> 10000 m^2

Hope It Helps You!!!

Have A Nice Day!!! ^_^

8 0

3 years ago

there are 12 ducks and 15 geez swimming in a pond what is the ratio of geese to total birds at the pond

alina1380 [7]

If you find the total amount of birds, which is 27... Then you read "Number of Geese to total birds"

15 to 27 or
15/27 or
15:27

3 0

3 years ago

Margo has a coin collection. She was given 1 coin as a gift, and she adds 3 coins per year. Which of the graphs below represents

gavmur [86]

Answer:

Option C) graph of line going through 1, 4 and 3, 10

Step-by-step explanation:

Let y equal to Margo's coin collection

Let x equal to number of years

At the begining x=0, y=1 → Point=(x,y)→Point=(0,1)

She adds 3 coins per year, then y=1+3x

At x=1, y=1+3(1)=1+3→y=4→Point=(x,y)→Point=(1,4)

At x=3, y=1+3(3)=1+9→y=10→Point=(x,y)→Point=(3,10)

The graph of line going through (1, 4) and (3, 10), then the option C is the correct.

4 0

3 years ago

A random sample of 100 people from City A has an average IQ of 120 with a SD of 18. Independently of this, a random sample of 15

Sloan [31]

Answer:

$z=\frac{(120-116)-0}{\sqrt{\frac{18^2}{100}+\frac{15^2}{150}}}}=1.837$

$p_v =P(z>1.837)=1-P(Z$

Comparing the p value with a significance level for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that the average IQ on city A is signficantly higher than city B at 5% of singificance.

Step-by-step explanation:

$\bar X_{A}=120$ represent the mean for sample 1

$\bar X_{B}=116$ represent the mean for sample 2

$s_{A}=18$ represent the sample standard deviation for 1

$s_{B}=15$ represent the sample standard deviation for 2

$n_{A}=100$ sample size for the group 2

$n_{B}=150$ sample size for the group 2

$\alpha$ Significance level provided

z would represent the statistic (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if residents of City A smarter on average, the system of hypothesis would be:

Null hypothesis: $\mu_{A}-\mu_{B}\leq 0$

Alternative hypothesis: $\mu_{A} - \mu_{B}> 0$

We don't have the population standard deviation's, but the sample sizes are large enough we can apply a z test to compare means, and the statistic is given by:

$z=\frac{(\bar X_{A}-\bar X_{B})-\Delta}{\sqrt{\frac{s^2_{A}}{n_{A}}+\frac{s^2_{B}}{n_{B}}}}$ (1)

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

With the info given we can replace in formula (1) like this:

$z=\frac{(120-116)-0}{\sqrt{\frac{18^2}{100}+\frac{15^2}{150}}}}=1.837$

P value

Since is a one right tailed test the p value would be:

$p_v =P(z>1.837)=1-P(Z$

5 0

3 years ago

How to simplify 3 over 18

Setler79 [48]

$\frac{3}{18} = \frac{1\times3}{6\times3} =\boxed{\bf{\frac{1}{6}}}$

4 0

3 years ago

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