First find the slope, take derivative of both sides with respect to x.
2y dy/dx=3x^2+6x
solve for dy/dx
dy/dx=[3x^2+6x]/2y
plug in given vales of (1,2(
dy/dx=9/4

now you have everything you need to plug into point slope form
y-2=(9/4)(x-1)
answer is y=(9/4)x+(1/4)

5 0

3 years ago

A starfish's top speed is approximately 161 centimeters per minute. What is this speed to the nearest centimeter per second? plz

Papessa [141]

2.7 cm per second. Because it’s 161 divided by 60

6 0

4 years ago

Read 2 more answers

What is the simplified answer to this? thank you :)<br><br><img src="https://tex.z-dn.net/?f=9%20%5Csqrt%7B245%7D%20" id="TexFor

Svetradugi [14.3K]

Answer:

$63 \sqrt[ \: ]{5}$

Step-by-step explanation:

$9 \sqrt{245}$

$9 \sqrt{ {7}^{2} \times 5 }$

$9 \times 7 \sqrt{5}$

$63 \sqrt{5}$

6 0

3 years ago

The board of examiners that administers the real estate broker's examination in a certain state found that the mean score on the

Goshia [24]

Answer:

The passing score is 645.2

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 553, \sigma = 72$