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aleksley [76]
2 years ago
5

Write 12x + 4y= –36 in slope-intercept form. y= x− .

Mathematics
2 answers:
AnnyKZ [126]2 years ago
5 0

~~~~~12x+4y = -36\\\\\implies 3x +y = -9\\\\\implies y = -3x -9

deff fn [24]2 years ago
4 0

         - - - - - - - - - - - - - - - - - - - -- - - - - - - - - - -- - - - - - -- - - - - - - - --

\blue\textsf{\textbf{\underline{\underline{Question:-}}}}

Write 12x+4y=-36 in slope intercept form.

\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}

Slope intercept form looks like so:-

y=mx+b

Right now the line's equation is written in standard form, ax+by=c.

First, subtract 12x on both sides:-

4y=-36-12x

Now divide by 4 on both sides:-

y=-9-3x

On further simplification,

switch -9 and -3x places (it's not mandatory)

y=-3x-9

That's our equation in slope intercept form.

<h3>Good luck.</h3>

          - - - - - - - - - - - - - - - - - - - -- - - - - - - - - - - - - - - - - - - - - - -- - - -

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Answer:

a)Smoke but doesn't drink alcoholic beverages

P=0.176  or 17.6%

b)eats between meals and drinks alcoholic beverages but doesn't smoke

P=0.062  or 6.2%

c.) neither smokes nor eats between meals

P=0.342  or 34.2%

Step-by-step explanation:

Using a Venn diagram with three circles, one for each bad health habit. Let us a for the students that only smoke, b for only drink alcoholic beverages, and c for only eat between meals. Following this logic, d represents smoke and drink alcoholic beverages but not eat between meals,  e drink alcoholic beverages and eat between meals but not smoke,f eat between meals and smoke but not drink alcoholic beverages. Finally g for having all the three, this means g=52.

To find f, subtract 52 (the three problems) from 97 because this last number represents all the students that smoke and eat between meals, including the students that have the three bad habits. The same goes for 'd' and 'e'.

f=97-52=45

e=83-52=31

d=122-52=70

To find a, subtract e, f, and g from the total of smokers. This is because e, f, and g represent smoke and at least another bad habit and a represents only smoking.

a=210-d-f-g=210-70-45-52=43

The same goes for b and c.

b=258-d-e-g=258-70-31-52=105

c=216-e-f.-g=216-31-45-52=88

Adding all letters and subtract from the total to see if there is any healthy student:

500-a+b+c+d+e+f+g =500-43+105+88+70+31+45+52=500- 434=66

a)Smoke but doesn't drink alcoholic beverages

This will be 'a' (only smokes) and 'f'  ( smokes and eats between meals but doesn't drink) divided by the total of students.

P=(43+45)/500=0.176

b)eats between meals and drinks alcoholic beverages but doesn't smoke

This probability is 'e' divided by the total of students.

P=31/500=0.062

c.) neither smokes nor eats between meals

This will be 'b' (only drinks) plus the healthy students (66) divided by the total of students.

P=(105+66)/500=0.342

5 0
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Calculating Profit Using this table, calculate the profit at each level of bicycle production. One bike: -$ Two bikes: $ Three b
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Answer:

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Step-by-step explanation:

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3 years ago
We use the formula V = πr2h to find the volume of a cylinder. Make h the subject of the formula.
Gennadij [26K]

Answer:

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Step-by-step explanation:

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koban [17]

Answer:

a) <u>∡ADC = 270°</u>

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Step-by-step explanation:

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5 0
2 years ago
Read 2 more answers
A certain company's main source is a mobile app. The function h models the company's annual profit (in million of dollars) as a
cricket20 [7]

Answer:

At price 3 and 11, the profit will be $0

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

<em> A certain companies main source of income is a mobile app. The companies annual profit (in millions of dollars) as a function of the app’s price (in dollars) is modeled by P(x)=-2(x-3)(x-11) which app prices will result in $0 annual profit?</em>

My answer:

Given:

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If we want to find out the app price that will result in $0 annual profit? It means we need to set the function:

P(x)=-2(x-3)(x-11) = 0

<=> (x-3)(x-11)= 0

<=> x - 3 = 0 or x - 11=0

<=> x = 3 or x = 11

So at price 3 and 11, the profit will be $0

Hope it will find you well.

5 0
3 years ago
Read 2 more answers
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