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Archy [21]
1 year ago
8

Choose the definition for the function.

Mathematics
1 answer:
kotegsom [21]1 year ago
7 0

The definition of the piecewise function in this problem is given by:

a.

  • y = x + 1, x ≤ 2.
  • y = x + 1, x > 2.

<h3>What is a piecewise function?</h3>

A piecewise function is a function that has different definitions, depending on the input.

For x until x = 2, we have a <u>linear function with an intercept of 1 and slope of 1</u>, hence the definition is:

y = x + 1, x ≤ 2.

After x = 2, the function is shifted up one unit, hence:

y = x + 1 + 1, x > 2

y = x + 2, x > 2.

Hence option A is correct.

More can be learned about piecewise functions at brainly.com/question/27262465

#SPJ1

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Solve the equation 5y-6=10
BaLLatris [955]

Answer:

y = 3.2

Step-by-step explanation:

Simplifying

5y + -6 = 10

Reorder the terms:

-6 + 5y = 10

Solving

-6 + 5y = 10

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '6' to each side of the equation.

-6 + 6 + 5y = 10 + 6

Combine like terms: -6 + 6 = 0

0 + 5y = 10 + 6

5y = 10 + 6

Combine like terms: 10 + 6 = 16

5y = 16

Divide each side by '5'.

y = 3.2

Simplifying

y = 3.2

8 0
2 years ago
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A 0.40 kg bird is flying at a constant speed of 8.0 m/s. What is the bird's kinetic energy?
nalin [4]

Answer:

The correct answer is 12.8 J.

Step-by-step explanation:

To solve this problem, we must remember how to calculate the kinetic energy of an object.

The kinetic energy is represented by the formula K = 1/2 * m * v^2, where m represents the mass of the object and v represents the speed or velocity of the object.  If we plug in the given values into the formula, we get:

K = 1/2 * m * v^2

K = (1/2) * (0.40) * (8.0)^2

Our first step is to square the velocity.  After doing this step, we get the following:

K = (1/2) * (0.40) * (64)

Finally, we can perform the multiplication, to get:

K = 12.8

The unit for kinetic energy is joules, so the correct answer is 12.8 J.

Hope this helps!

8 0
3 years ago
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Answer:

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Step-by-step explanation:

Use the method for solving Bernoulli equations to solve the following differential equation.

StartFraction dy Over dx EndFraction plus StartFraction y Over x minus 9 EndFraction equals 5 (x minus 9 )y Superscript one half

4 0
3 years ago
Find the student’s error in solving the following inequality.
Volgvan
31 < -5x + 6
<u>-6             -6</u>
<u>25</u> < <u>-5x</u>
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3 years ago
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