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3 years ago

Complete the point-slope equation of the line through (1,0) and (6,3). Use exact numbers. y-(-3)=

Mathematics

2 answers:

11111nata11111 [884]3 years ago

8 0

Answer:

point-slope equation of the line through (1,0) and (6,-3). Use Exact Numbers

Step-by-step explanation:

FrozenT [24]3 years ago

4 0

Answer:

Step-by-step explanation:

$(1,0) =(x_1,y_1),\\ (6,3)=(x_2,y_2))\\\\\frac{y-y_1}{x-x_1}= \frac{x_2-x_1}{y_2-y_1} \\ \\\\\frac{y-0}{x-1} = \frac{6-1}{3-0} \\\\\frac{y-0}{x-1} = \frac{5}{3}\\\\3(y-0)=5(x-1)\\\\3y -0 =5x-5\\\\3y = 5x-5+0\\\\3y = 5x-5\\\\\frac{3y}{3} = \frac{5}{3} x= \frac{5}{3} \\\\y = \frac{5}{3} x= \frac{5}{3}\\$

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A magazine has 1,620,000 subscribers, of whom 640,000 are women and 980,000 are men. Thirty percent of the women read the advert

Kaylis [27]

Answer:

Expected number of subscribers in the sample who read the advertisements=42

Step-by-step explanation:

Step 1

Determine the proportion of both men and women subscribers as shown;

Proportion of Men subscribers=number of men subscribers/total number of subscribers

where;

number of men subscribers=980,000

total number of subscribers=number of men+number of women

total number of subscribers=(980,000+640,000)=1,620,000

replacing;

proportion of men subscribers=980,000/1,620,000=98/162

Step 2

Proportion of women subscribers=1-(98/162)=64/162

Step 3

Expected proportion of men that read the advertisement=(50/100)×(98/162)=4,900/16,200=49/162

Expected proportion of women that read the advertisement=(30/100)×(64/162)=1,920/16,200=192/1620

Step 4

Total number of proportion=(49/162)+(192/1620)=341/810

Expected number from the sample=(341/810)×100=42

Expected number of subscribers in the sample who read the advertisements=42

3 0

2 years ago

Write a posite or negative number :depositing $85 in a bank account

DedPeter [7]

I do not understand but if you deposit 85 dollars in a bank account it will most likely be positive unless you owe the bank money.

Hope I helped

Brainliest if satisfied

5 0

3 years ago

Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.

wlad13 [49]

Answer:

$\frac{dy}{dx}=\frac{x(1-2lnx)}{x^{4}}$

Step-by-step explanation:

To solve the question we refresh our knowledge of the quotient rule.

For a function f(x) express as a ratio of another functions u(x) and v(x) i.e

$f(x)=\frac{u(x)}{v(x)}\\$ , the derivative is express as

$\frac{df(x)}{dx}=\frac{v(x)\frac{du(x)}{dx}-u(x)\frac{dv(x)}{dx}}{v(x)^{2} }$

from $y=lnx/x^{2}$

we assign u(x)=lnx and v(x)=x^2

and the derivatives

$\frac{du(x)}{dx}=\frac{1}{x}\\\frac{dv(x)}{dx}=2x\\$ .

Note the expression used in determining the derivative of the logarithm function.it was obtain from the general expression of logarithm derivative i.e $y=lnx\\\frac{dy}{dx}=\frac{1}{x}$

If we substitute values into the quotient expression we arrive at

$\frac{dy}{dx}=\frac{(x^{2}*\frac{1}{x})-(2x*lnx)}{x^{4}}\\\frac{dy}{dx}=\frac{x-2xlnx}{x^{4}}\\\frac{dy}{dx}=\frac{x(1-2lnx)}{x^{4}}$

8 0

2 years ago

How can i put the number 103,727,495 in expanded form

tia_tia [17]

How can i put the number 103,727,495 in expanded form
You can put the number 103, 727,495 in expanded form by:
1. 100, 000, 000 + 3,000, 000 + 700,000 + 20, 000 + 7, 000 + 400 + 90 + 5

Which in words is.

1. One hundred three million seven hundred twenty seven thousand four hundred ninety-five

7 0

2 years ago

Show work. step by step instructions. solve for p 4(p+2)=28

Mazyrski [523]

We can use the distributive property for this:

4 (p+2) = 28

4p + 8 = 28.

4p = 28 - 8.

4p = 24.

Divide by 4 on both sides:

p = 6

6 0

3 years ago