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Nata [24]
3 years ago
12

Find all values of x (if any) where the tangent line to the graph of the given equation is horizontal. HINT [The tangent line is

horizontal when its slope is zero.] (If an answer does not exist, enter DNE. Enter your answers as a comma-separated list.) y = −9x2 − 2x
Mathematics
1 answer:
Nostrana [21]3 years ago
6 0
By "y = −9x2 − 2x" I assume you meant  <span>y = −9x^2 − 2x (the "^" symbol represents exponentiation).

Let's find the first derivative of y with respect to x:  dy/dx = -18x - 2.  This is equivalent to the slope of the tangent line to the (parabolic) curve.  Now let this derivative (slope) = 0 and solve for the critical value:  -18x - 2 = 0, or
-18x = 2.  Solving for x,   x = -2/18,    or    x = -1/9.

When x = -1/9, y = -9(-1/9)^2 - 2(-1/9).  This simplifies to y = -9/9 + 2/9, or 
y = -7/9.

The only point at which the tangent to the curve is horiz. is (-1/9,-7/9).</span>
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In a Harris poll of 514 human resource professionals, 90% said that the appearance of a job applicant is most important for a go
jolli1 [7]

Answer:

( a ) 463 " human resource professionals " believe that the appearance of a job applicant is most important for a good first impression

( b )  Percent wise the confidence interval should be from about 86.6% to 93.4%

Step-by-step explanation:

I believe these first two parts here is sufficient enough to get you started!

" In a Harris poll of 514 human resource professionals, 90% said that the appearance of a job applicant is most important for a good first impression. Part A: Among the 514 human resource professionals who were surveyed, how many of them said that the appearance of a job applicant is most important for a good first impression?

Part B: Construct a 99% confidence interval estimate of the proportion of all human resource professionals believing that the appearance of a job applicant is most important for a good first impression. "

_____

( a ) We are given that n = 514, and p = 90%. The number of human resource professionals that said that the appearance of a job applicant is most important for a good first impression, should be the following -

514 x \frac{90}{100}

= \frac{46260}{100}

= 462.6

As the count of people can't be expressed as a fraction, the solution should be about 463 " human resource professionals. "

_____

( b ) Here the confidence level is 0.99 percent. Knowing that -

1 - ∝ = 0.99,

∝ = 1 - 0.99... = 0.01

Therefore, a 99% confidence interval estimate of the proportion of all human resource professionals believing that the appearance of a job applicant is most important for a good first impression should be calculated as directed in the attachment. By that the interval ranges as such -

0.8659 < p < 0.9341

And percent wise the confidence interval should be from about 86.6% to 93.4%

8 0
3 years ago
What is the slope of the line?
posledela

Answer:

-2

this eq. can be simplified to -

y = 5 - 2x

we know that the coefficient of x is the slope

therefore , -2 is the slope

7 0
3 years ago
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26 skate and with wunno when ask what about the gc and the park to park in
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3 years ago
Select all of the following statements that are true.
-Dominant- [34]

Answer:

3. Correlation coefficients can be represented by the variable r

Step-by-step explanation:

Correlation coefficients show if there is a strong or weak  positive or negative relationship, or if there is no relationship between the variables.

Correlation coefficients are negative when the relationship is inversely proportional and positive when the relationship is proportional.

Correlation coefficients can be any value less than or equal to 1 or greater than  or equal to -1.​

7 0
3 years ago
Mandy bought a desktop computer system to start her business from home for $4,995. It is expected to depreciate at a rate of 10%
ziro4ka [17]

Answer:

8.43 years

Step-by-step explanation:

Given data

Cost price P= $4995

Rate r= 10%

FInal amount A= $2150

The expression for the time/duration is given as

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t= ln(0.430)/0.1

t= 0.843/0.1

t= 8.43

Hence the time it will take is 8.43 years

3 0
3 years ago
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