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inna [77]
3 years ago
14

The cost of a product has been increasing each year. The graph shows data about the product's cost over time.

Mathematics
1 answer:
AveGali [126]3 years ago
7 0
By the way the costs have been going up in a diagonal line, it would be reasonable to predict that it would cost $14 in year 10.

A.
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If the right side of the equation dy dx = f(x, y) can be expressed as a function of the ratio y/x only, then the equation is sai
melomori [17]

Answer:

 y = x*sqrt(Cx - 1)

Step-by-step explanation:

Given:

                                  dy / dx = (x^2 + 5y^2) / 2xy

Find:

Solve the given ODE by using appropriate substitution.

Solution:

- Rewrite the given ODE:

                               dy/dx = 0.5(x/y) + 2.5(y/x)

- use substitution y = x*v(x)

                               dy/dx = v + x*dv/dx

- Combine the two equations:

                                v + x*dv/dx = 0.5*(1/v) + 2.5*v

                                x*dv/dx = 0.5*(1/v) + 1.5*v

                                x*dv/dx = (v^2 + 1) / 2v

-Separate variables:

                                 (2v.dv / (v^2 + 1) = dx / x  

- Integrate both sides:

                                 Ln (v^2 + 1) = Ln(x) + C

                                 v^2 + 1 = Cx

                                 v = sqrt(Cx - 1)

- Back substitution:

                                (y/x) = sqrt(Cx - 1)

                               y = x*sqrt(Cx - 1)

                         

3 0
3 years ago
Round 76 to the nearest tenth
Elden [556K]
The next larger tenth is  76.1 .
The next smaller tenth is  75.9 .

Neither of those is any closer to 76 than 76 is.

76 is already rounded to the nearest tenth.
8 0
3 years ago
Read 2 more answers
Function 1 is defined by the equations r=3/4t +5<br> Function 2 is defined by the following table
Dvinal [7]

Function 2 has a greater y-intercept

<h3>Graphs</h3>

Graphs can be used to represent functions, equations, tables and relations

<h3>Equations</h3>

The equation of function 1 is given as:

r =\frac 34t + 5

To calculate the y-intercept, we set t to 0.

So, we have:

r =\frac 34 \times 0 + 5

r =5

For the table of function 2, the y-intercept is 5.25

By comparison:

5.25 is greater than 5

Hence, function 2 has a greater y-intercept

Read more about graphs and functions at:

brainly.com/question/3939432

7 0
2 years ago
How many solutions does this system of equations have? Explain how you know.
Nostrana [21]

Answer:

No solution

Step-by-step explanation:

The given equations are :

9x-3y=-6

3x-y=2.....(1)

5y=15x+10

5y-15x=10

or

y-3x=2 .....(2)

Equations (1) and (2) shows that the lines are parallel. We know that for parallel lines, there is no solution.

3 0
2 years ago
Kevin says these number lines show 7/8 is equivalent to 4/5. Is Kevin correct?
notsponge [240]

Yes, Kevin is correct

3 0
2 years ago
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