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3 years ago

A linear relationship with a slope of 2 and a y-intercept of 3

Mathematics

2 answers:

nikdorinn [45]3 years ago

5 0

Answer:

y = 2x+3

Step-by-step explanation:

Formula: mx+b

m = slope

b = y-intercept

----

m = 2

b = 3

so y = 2x+3 is the linear relationship

qwelly [4]3 years ago

4 0

Answer:

The linear relationship is represented by y = 2x + 3.

Step-by-step explanation:

We are given a y-intercept of an equation as well as a slope:

slope = 2
y-intercept = 3

We can use this information and substitute it into the slope-intercept form equation to get our linear relationship:

y = mx + b

In this formula, m is our slope and b is our y-intercept.

Therefore:

m = 2
b = 3

Finally, let us substitute these into the equation:

$y = 2x + 3$

This is our final equation.

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wolverine [178]

Answer: x = (cd + by) / a

Working out:

(ax - by) / c = d

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ax - by = cd

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ax = cd + by

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3 years ago

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oksano4ka [1.4K]

Answer:

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2 years ago

Suppose that a large mixing tank initially holds 100 gallons of water in which 50 pounds of salt have been dissolved. Another br

Serggg [28]

Answer:

dA/dt = 12 - 2A/(100 + t)

Step-by-step explanation:

The differential equation of this problem is;

dA/dt = R_in - R_out

Where;

R_in is the rate at which salt enters

R_out is the rate at which salt exits

R_in = (concentration of salt in inflow) × (input rate of brine)

We are given;

Concentration of salt in inflow = 4 lb/gal

Input rate of brine = 3 gal/min

Thus;

R_in = 4 × 3 = 12 lb/min

Due to the fact that solution is pumped out at a slower rate, thus it is accumulating at the rate of (3 - 2)gal/min = 1 gal/min

So, after t minutes, there will be (100 + t) gallons in the tank

Therefore;

R_out = (concentration of salt in outflow) × (output rate of brine)

R_out = [A(t)/(100 + t)]lb/gal × 2 gal/min

R_out = 2A(t)/(100 + t) lb/min

So, we substitute the values of R_in and R_out into the Differential equation to get;

dA/dt = 12 - 2A(t)/(100 + t)

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3 years ago

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Lorico [155]

She walks 3 3/10 mph
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3 years ago

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docker41 [41]

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