All categories

3 years ago

What is an equation of the line in slope-intercept form? m = two-sevenths and the y-intercept is (0, –12)

Mathematics

1 answer:

Verizon [17]3 years ago

7 0

Answer:

y = (2/7)x -12 (Answer Choice B)

Step-by-step explanation:

Take the given values ( m=2/7 and y-intercept (0,-12) ) and substitute them into y = mx + b:

y = (2/7)x -12

You might be interested in

A 100 gallon tank initially contains 100 gallons of sugar water at a concentration of 0.25 pounds of sugar per gallon suppose th

Vsevolod [243]

At the start, the tank contains

(0.25 lb/gal) * (100 gal) = 25 lb

of sugar. Let $S(t)$ be the amount of sugar in the tank at time $t$ . Then $S(0)=25$ .

Sugar is added to the tank at a rate of P lb/min, and removed at a rate of

$\left(1\frac{\rm gal}{\rm min}\right)\left(\dfrac{S(t)}{100}\dfrac{\rm lb}{\rm gal}\right)=\dfrac{S(t)}{100}\dfrac{\rm lb}{\rm min}$

and so the amount of sugar in the tank changes at a net rate according to the separable differential equation,

$\dfrac{\mathrm dS}{\mathrm dt}=P-\dfrac S{100}$

Separate variables, integrate, and solve for S.

$\dfrac{\mathrm dS}{P-\frac S{100}}=\mathrm dt$

$\displaystyle\int\dfrac{\mathrm dS}{P-\frac S{100}}=\int\mathrm dt$

$-100\ln\left|P-\dfrac S{100}\right|=t+C$

$\ln\left|P-\dfrac S{100}\right|=-100t-100C=C-100t$

$P-\dfrac S{100}=e^{C-100t}=e^Ce^{-100t}=Ce^{-100t}$

$\dfrac S{100}=P-Ce^{-100t}$

$S(t)=100P-100Ce^{-100t}=100P-Ce^{-100t}$

Use the initial value to solve for C :

$S(0)=25\implies 25=100P-C\implies C=100P-25$

$\implies S(t)=100P-(100P-25)e^{-100t}$

The solution is being drained at a constant rate of 1 gal/min; there will be 5 gal of solution remaining after time

$1000\,\mathrm{gal}+\left(-1\dfrac{\rm gal}{\rm min}\right)t=5\,\mathrm{gal}\implies t=995\,\mathrm{min}$

has passed. At this time, we want the tank to contain

(0.5 lb/gal) * (5 gal) = 2.5 lb

of sugar, so we pick P such that

$S(995)=100P-(100P-25)e^{-99,500}=2.5\implies\boxed{P\approx0.025}$

5 0

3 years ago

Rose pls. answer me if ur still on

Vsevolod [243]

Answer:

Step-by-step explanation:

rose answer this person he/she is trying to look for you.

8 0

3 years ago

Read 2 more answers

Show a graph that represents -24 y = 3x + 24

frutty [35]

Step-by-step explanation:

based on your equation it would look like this. use Dennis its a life saver

4 0

3 years ago

The expression 2.85+2.70M gives the taxi fare in dollars for a trip of M miles. On Thursday you got a find Miss Hearst took a ta

horrorfan [7]

Answer:

Total fair of the two trips was $32.7

Explanation:

We are given that the expression that taxi fair is:

2.85 + 2.7M where M represents the number of miles

1- For Thursday:

Number of miles covered = M = 6 miles

Substitute with M=6 in the given equation to get the fair on Thursday as follows:

Fair on Thursday = 2.85 + 2.7(6) = $19.05

2- For Friday:

Number of miles covered = M = 4 miles

Substitute with M=4 in the given equation to get the fair on Friday as follows:

Fair on Friday = 2.85 + 2.7(4) = $13.65

3- The total fair:

Total fair = fair on Thursday + fair on Friday

Total fair = 19.05 + 13.65 = $32.7

Hope this helps :)

4 0

3 years ago

Harrison and Sherrie are making decisions about their bank accounts. Harrison wants to deposit $200 as a principle amount, with

DedPeter [7]

Answer:

Harrison earns: $208.14

Sherrie earns: $216.57

Step-by-step explanation:

Sherrie earns more money than Harrison in 2 years.

5 0

3 years ago