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3 years ago

19x+15y=-6 changed into slope intercept form.

Mathematics

2 answers:

attashe74 [19]3 years ago

7 0

Answer:

y = - $\frac{19}{15}$ x - $\frac{2}{5}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

19x + 15y = - 6 ( subtract 19x from both sides )

15y = - 19x - 6 ( divide all terms by 15 )

y = - $\frac{19}{15}$ x - $\frac{6}{15}$ , that is

y = - $\frac{19}{15}$ x - $\frac{2}{5}$ ← in slope- intercept form

Vesnalui [34]3 years ago

3 0

Answer:

$y=\frac{-19}{15}x-\frac{2}{5}$

Step-by-step explanation:

19x+15y=-6

⇔ 15y=-19x-6

⇔ y=-19/15x-6/15

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2 years ago

After sitting on a shelf for a while, a can of soda at room temperature (73 F) is placed inside a refrigerator and slowly cools.

Alona [7]

Answer:

Step-by-step explanation:

Use Newton's Law of Cooling here:

$T(t)=T_s+(T_0-T_s)^{-kt$

where T(t) is the temp of something after a certain amount of time, t, has gone by; Ts is the surrounding temp, and T0 is the initial temp. k is the constant of cooling. We need to first solve for this using the information given. Filling in what we know:

$53=35+(73-35)^{-35k$ which can simplify a bit to

$53=35+(38)^{-35k$ and $18=38^{-35k$

Take the natural log of both sides:

$ln(18)=ln(38)^{-35k$

Taking the natural log allows us to pull that exponent down out front:

$ln(18)=-35k*ln(38)$

and now we can divide both sides by ln(38) to get

-35k = .794585 so

k = -.023

Now that have the value for k, we can go on to solve the rest of the problem which is asking us the temp of the soda after 70 minutes. Filling in using the k value and the new time of 70 minutes:

$T(t)=35+(38)^{70(-.023)$ and