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rodikova [14]
2 years ago
10

Find the solution of the system of equations shown on the graph.

Mathematics
1 answer:
o-na [289]2 years ago
4 0

Answer:

Answer:(0,3)Step-by-step explanation:The solution in a set of graphs is where they intersect. In this graph, they intersect at (0,3)

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Michael will be running a 15 mile road race this weekend how many feet will he run
sergij07 [2.7K]

Answer:

79,200

Step-by-step explanation:

There are 5280 feet in 1 mile, then you just multiply 5280 by the number of miles (15). So 5280 x 15 = 79,200

5 0
3 years ago
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What is the value of the expression below after it has been simplified completely? (2)(3)-(6)(4) A. –24 B. –18 C. 18 D. 24
AlexFokin [52]

Answer:

B

Step-by-step explanation:

2x3=6 and 6x4=24 so 6-24= -18

4 0
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6 0
3 years ago
Which of the following functions are solutions of the differential equation y" + y = 7 sin(x)? (Select all that apply.)
Nikitich [7]

The homogeneous equation

y'' + y = 0

has characteristic equation

r² + 1 = 0

with roots at r = ± √(-1) = ± i, and so the characteristic solution is

y = C₁ cos(x) + C₂ sin(x)

Using the method of undetermined coefficients, suppose

y = a x cos(x) + b x sin(x)

(we would normally consider y = a cos(x) + b sin(x), but cos(x) and sin(x) are already part of the characteristic solution)

The derivatives are

y' = a cos(x) - a x sin(x) + b sin(x) + b x cos(x)

y' = (b - a x) sin(x) + (a + b x) cos(x)

and

y'' = -a sin(x) + (b - a x) cos(x) + b cos(x) - (a + b x) sin(x)

y'' = (-2a - b x) sin(x) + (2b - a x) cos(x)

Then

y'' + y = (-2a - b x) sin(x) + (2b - a x) cos(x) + a x cos(x) + b x sin(x)

7 sin(x) = -2a sin(x) + 2b cos(x)

and it follows that a = -7/2 and b = 0.

So, the general solution to the DE is

y = C₁ cos(x) + C₂ sin(x) - 7/2 x cos(x)

which means the only valid solutions from the given choices are

y = 7 sin(x)

y = 7 cos(x)

4 0
2 years ago
Which statement about the ordered pairs (−9,3) and (2,−4) is true for the equation 6x−y2=14 ?
ehidna [41]

Answer:

What are the statements to choose from? Send me a message with the choices.

Step-by-step explanation:

6x-2y=14

+2y +2y

6x=14+2y

5 0
3 years ago
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