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2 years ago

12

How many packages of diapers can you buy with $40 if one package costs $8? write and solve the equation. show that your answer i

s reasonable. (hint: define a variable)?

1 answer:

katrin [286]2 years ago

7 0

You would be able to buy 5 packages 5×8=40 and 40÷8=5

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bulgar [2K]

Answer:

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2 years ago

Please help me with questions 21 and 22

valentina_108 [34]

I’m not sure abt 21 but 22 is the second one and the 4th one. So 2,4.

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2 years ago

9. If f(x) = 5x-4 and f(2a) =156 , then what is the value of a?

solmaris [256]

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$f(x) = 5x - 4$

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$f(2a) = 5(2a) - 4$

$f(2a) = 10a - 4$

$156 = 10a - 4$

$10a - 4 = 156$

Add sides 4

$10a - 4 + 4 = 156 + 4$

$10a = 160$

Divide sides by 10

$\frac{10a}{10} = \frac{160}{10} \\$

$a = 16$

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2 years ago

Suppose you solved a second-order equation by rewriting it as a system and found two scalar solutions: y = e^5x and z = e^2x. Th

xenn [34]

Answer:

The solutions are linearly independent because the Wronskian is not equal to 0 for all x.

The value of the Wronskian is $\bold{W=-3e^{7x}}$

Step-by-step explanation:

We can calculate the Wronskian using the fundamental solutions that we are provided and their corresponding the derivatives, since the Wroskian is defined as the following determinant.

$W = \left|\begin{array}{cc}y&z\\y'&z'\end{array}\right|$

Thus replacing the functions of the exercise we get:

$W = \left|\begin{array}{cc}e^{5x}&e^{2x}\\5e^{5x}&2e^{2x}\end{array}\right|$

Working with the determinant we get

$W = 2e^{7x}-5e^{7x}\\W=-3e^{7x}$

Thus we have found that the Wronskian is not 0, so the solutions are linearly independent.

3 0

2 years ago

2. What are some examples of numbers that are not rational?

8_murik_8 [283]

Answer:

π (Pi) is a famous irrational number.

Step-by-step explanation:

https://www.google.com/url?sa=i&source=images&cd=&ved=2ahUKEwiOs5uTkYHnAhUHVK0KHQG8D_gQjRx6BAgBEAQ&url=https%3A%2F%2Fwww.mathwarehouse.com%2Farithmetic%2Fnumbers%2Frational-and-irrational-numbers-with-examples.php&psig=AOvVaw1ZOfWq7B8H6G4s5Qp78RI-&ust=1579024048084516

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2 years ago