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Zepler [3.9K]
3 years ago
11

Rewrite the equation in slope-intercept form: 2x + 3y = 12.

Mathematics
2 answers:
hoa [83]3 years ago
7 0

Answer:

y=-2/3x+4

Step-by-step explanation:

Slope intercept form is y=mx+b

y has to be alone and "x" has to be on the other side

the equation will be 3y=-2x+12

then divide by 3 to make "y" alone

this leaves the equation y=-2/3x+12

Semmy [17]3 years ago
4 0

Answer:

y=-2x/3+4

Step-by-step explanation:

Subtract 2x from both side

3y=-2x+12

Divide by 3 to get y alone

y=-2x/3+4

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The arithmetic mean of two numbers is 10.01. Find the numbers if one of them is 5.5 times less than the other.
Mkey [24]
Since we know the mean of the two numbers is 10.01, we can find the total of the two numbers by multiplying the mean by 2. 

10.01 x 2 = 20.02

The total is 20.02

There are two numbers that add up to 20.02, one of them is 5.5 times less than the other. So we define the smaller of the number as x and the other greater number will be 5.5x.

Smaller number = x
larger numer = 5.5x

Now we add both the variables together and it should give us 20.02.

x + 5.5x = 20.02
6.5 x = 20.02

Since 6.5x is 20.02, we divide 20.02 by 6.5 to get us the value of x

x = 20.02 ÷ 6.5
<span>x = 3.08

x is the smaller number, so the smaller number is 3.08. Now find the greater number by multiplying x by 5.5 times

5.5x = 3.08 x 5.5
5.5x = 16.94

So now, we have found the greater number, which is 16.94.

We can check by adding 3.08 to 16.94, which gives us 20.02 and that is correct.

Anwer: The numbers are 3.08 and 16.94.</span><span />
6 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=3%282x%20-%203%29%20%3D%204%28x%20%2B%201%29" id="TexFormula1" title="3(2x - 3) = 4(x + 1)" al
drek231 [11]

Answer:

x = \frac{13}{2}

Step-by-step explanation:

distribute parenthesis on both sides of the equation

6x - 9 = 4x + 4 ( subtract 4x from both sides )

2x - 9 = 4 ( add 9 to both sides )

2x = 13 ( divide both sides by 2 )

x = \frac{13}{2}


6 0
3 years ago
n many population growth problems, there is an upper limit beyond which the population cannot grow. Many scientists agree that t
givi [52]

Answer:

\frac{dP}{dt} = rP(1 - \frac{P}{K}) = 0.017P(1 - \frac{P}{16})

Step-by-step explanation:

The logistic function of population growth, that is, the solution of the differential equation is as follows:

P(t) = \frac{KP_{0}e^{rt}}{K + P_{0}(e^{rt} - 1)}

We use this equation to find the value of r.

In this problem, we have that:

K = 16, P_{0} = 2, P(50) = 4

So we find the value of r.

P(t) = \frac{KP_{0}e^{rt}}{K + P_{0}(e^{rt} - 1)}

4 = \frac{16*2e^{50r}}{16 + 2*(e^{50r} - 1)}

4 = \frac{32e^{50r}}{14 + 2e^{50r}}

56 + 8e^{50r} = 32e^{50r}}

24e^{50r} = 56

e^{50r} = 2.33

Applying ln to both sides of the equality

50r = 0.8459

r = 0.017

So

The differential equation is

\frac{dP}{dt} = rP(1 - \frac{P}{K}) = 0.017P(1 - \frac{P}{16})

3 0
3 years ago
A doctor hasn’t on your income of 100,000 the income tax the doctor has to pay is .8% what is the amount of income taxed in doll
MAXImum [283]
$800 dollars? I may not be right...
8 0
3 years ago
The measure of angle A is 62 degrees . Find the measures of the complement and supplement of angle A
Keith_Richards [23]

Answer:

Complement: 118°. Supplement: 28°

Step-by-step explanation:

To determine the supplement, subtract the given angle from 180.

180 - 62 = 118

To determine the complement, subtract the given angle from 90.

90 - 62 = 28

6 0
3 years ago
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