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2 years ago

Write an equation for line L in point-slope form and slope-intercept form.

Mathematics

1 answer:

Marianna [84]2 years ago

5 0

Answer:

$y = -\frac{1}{4}x + c$ --- Slope intercept

$y - y_1 = -\frac{1}{4}(x - x_1)$ --- Point slope

Step-by-step explanation:

Given

Perpendicular to $y = 4x$

Required

Determine its equation

The general form of an equation is:

$y = mx + c$

Where

$m = slope$

By comparison:

$m = 4$

Next, we calculate the slope of L.

Because L is perpendicular to $y = 4x$ , the relationship between their slopes is:

$m_2 = -\frac{1}{m}$

Substitute 4 for m

$m_2 = -\frac{1}{4}$

The equation of L in slope intercept form is: $y = mx + c$

Substitute -1/4 for m

$y = -\frac{1}{4}x + c$

In point slope form, we have:

$y - y_1 = m(x - x_1)$

Substitute -1/4 for m

$y - y_1 = -\frac{1}{4}(x - x_1)$

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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

a copy of a document that was originallly 24 in by 36 in is now 8 in by 12 in. what scale was used for the reduction

Arte-miy333 [17]

Answer:

Each of the inches was reduced by 3 in.

Step-by-step explanation:

This is the answer because if you divide the 24 by 3 you will get 8 and the same thing occurs if you divide the 36 by 3 and you will get 12

7 0

2 years ago

(1/27)^x-6=27 Could I please have a step by step as well? Much appreciated!

Andrei [34K]

Answer:

$x = 7$

Step-by-step explanation:

1) Use Division Distributive Property: (x/y)^a = x^a/y^a.

$\frac{1}{ {27}^{x - 8} } = 27$

2) Multiply both sides by 27^x - 8.

$1 = {27} \times 27^{1 + x - 8}$

3) Use the product rule: x^a x^b = x^a+b.

$1 = {27}^{1 + x - 8}$

4) Simplify 1 + x - 8 to x - 7.

$1 = {27}^{x - 7}$

5) Use Definition of Common Logarithm: b^a = x if and only if logb (x) = a.

$log_{27}1 = x - 7$

6) Use Change of Base Rule.

$\frac{ log_1 }{ log{27} } = x - 7$

7) Use rule of 1: log 1 = 0.

$\frac{0}{ log_{27}} = x - 7$

8) Simplify 0/log_27 to 0.

$0 = x - 7$

9) Add 7 to both sides.

$7 = x$

10) Switch sides.

$x = 7$

Therefor, the answer is x = 7.

5 0

2 years ago

In Juan's coin bank there are nickels (n),

alukav5142 [94]

Answer:

The answer is 8 quarters, 16 nickles, and 32 dimes

Step-by-step explanation:

First, the equation would be (2/4d) x 5 +d x 10 +1/4d x 25= 600 (Don't put 6.00, that's dollars. We put 6 dollars into cents to make it easier.)
Then we slowly start to solve: 10/4d + 10d + 25/4d = 600
10d+40d+25d/4 = 600 (Put all of that over 4, not first 25d)
75d= 600 x 4
d=600 x 4/75 (same here put everything over 75)
d=32
So then n= 2 x 32/4 = 16
Then n would be equal to : 1/4d= 1/4 x 32 = 8
So your answer would be 8 quarters, 16 nickles, and 32 dimes.

Hope this helped :)

5 0

2 years ago

Which name does not apply to the figure? A. quadrilateral B. square C. parallelogram D. rhombus

aivan3 [116]

The answer is B.
-Corey

8 0

2 years ago

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