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dmitriy555 [2]
2 years ago
10

Which relation is a function?

Mathematics
1 answer:
Natali [406]2 years ago
5 0

Answer:

A

Step-by-step explanation:

A function cannot have any repeating x-coordinates; therefore A is the correct answer.

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Which question is equivalent to 30/3+x
8090 [49]

Answer:

X+10 I think

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
If y=e5t is a solution to the differential equation
a_sh-v [17]

Answer:

k = 30, y(t) = C_1e^{5t}+C_2e^{6t}

Step-by-step explanation:

Since y=e^{5t} is a solution, then it must satisfy the differential equation. So, we calculate the derivatives and replace the value in the equation. We have that

\frac{d^2y}{dt^2} = 25 e^{5t},\frac{dy}{dt} = 5e^{5t}

Then, replacing the derivatives in the equation we have:

25e^{5t}-11(5)e^{5t}+ke^{5t}=0 e^{5t}(25-55+k) =0

Since e^{5t} is a positive function, we have that

25-55+k = 0 \rightarrow k = 30.

Now, consider a general solution y(t) = Ae^{rt}, A \in \mathbb{R}, then, by calculating the derivatives and replacing them in the equation, we get

Ae^{rt}(r^2-11r+30)=0

We already know that r=5 is a solution of the equation, then we can divide the polynomial by the factor (r-5) to the get the other solution. If we do so, we get that (r-6)=0. So the other solution is r=6.

Therefore, the general solution is

y(t) = C_1e^{5t}+C_2e^{6t}

8 0
3 years ago
How to find the maximum or minimum value of a quadratic function?
kipiarov [429]

Answer:

Vertex form

Step-by-step explanation:

You convert to  vertex form  a(x - b)^2 + c . The coordinates of the maxm/minm will be (b, c).

For example find minimum value of  x^2 + 5x - 6:-

x^2 + 5x - 6

=  (x + 2.5)^2 - 6.25 - 6

= (x + 2.5)^2 - 12.25

The coordinates of minimumm will be (-2.5, -12.25)  The values of the minimum of the function is -12.25

6 0
3 years ago
What is the value of the expression 12.25 + (-17.75)?
Reika [66]

Answer:

-5.5

Step-by-step explanation:

7 0
3 years ago
Robert wants to put lights around the edge of his deck. The deck is 46 feet long and 23 feet wide. How many yards of lights does
Korolek [52]
46 yards is the answer

5 0
2 years ago
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