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3 years ago

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help pleeesea!!!!!!!!!!!.Trina downloaded 3 music albums and 5 audio books one week at a cost of $49.60. The next week she downl

oaded 1 music album and 2 audio books at a cost of $20.50. Her mother wants to write a system of equations to determine the price of one music album and one audio book. She uses the variables x and y. She lets x represent the cost of one music album. What will y represent?

2 answers:

Ad libitum [116K]3 years ago

8 0

Y is the Audio Book.

"determine the price of one music album and one audio book"

"She lets x represent the cost of one music album."

According to this information "One Audio Book" should be the correct answer. Have a great day!

ICE Princess25 [194]3 years ago

5 0

Answer:

y will represent the cost of one audio book.

Step-by-step explanation:

Here, the cost of 3 music albums and 5 audio books is $49.60 and 1 music album and 2 audio books is $20.50,

Since, there are two unknown values,

First one is the cost of one music album,

Second one is the cost of one audio book,

We know that, for finding an unknown value we take a variable,

If we have variables x and y in which x represent the cost of one music album, then y must represent the cost of one audio album.

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umka21 [38]

Answer:

the slope is 6/7 the y-intercept is (0, - $\frac{15}{7}$ )

Step-by-step explanation:

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3 years ago

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Which is the equation of a line that has a slope of -2/3 and passes through point (-3, -1)? y=-2/3x+1.

bazaltina [42]

Answer:

y = -2/3x - 3

Step-by-step explanation:

First, write the equation using the slope. It should look like this: y = -2/3x + b. Next, find the y intercept by plugging in the point. This is what it looks like: -1 = -2/3(-3) + b. Multiply -2/3 by -3 to get 2. This is what it should look like now: -1 = 2 + b. Subtract 3 from both sides to get -3 = b. Go back to your original equation and plug in -3 for b. This is your final equation:

y = -2/3x - 3

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3 years ago

612.00 in scientific notation

FinnZ [79.3K]

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3 years ago

Which values are in the solution set of 111 = z^2 + 11 if the replacement set is {10, 12, 14, 16, 18}?

pantera1 [17]

Answer:

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3 years ago

In the previous part, we obtained dy dx = 3t2 − 27 −2t . Next, find the points where the tangent to the curve is horizontal. (En

mina [271]

Answer:

(27.55, 7.22), (-11.3, 3.21).

Step-by-step explanation:

When is the tangent to the curve horizontal?

The tangent curve is horizontal when the derivative is zero.

The derivative is:

$\frac{dy}{dx} = 3t^{2} - 2t - 27$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$3t^{2} - 2t - 27 = 0$

So

$a = 3, b = -2, c = -27$

Then

$\bigtriangleup = b^{2} - 4ac = (-2)^{2} - 4*3*(-27) = 328$

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$t_{2} = \frac{-(-2) - \sqrt{328}}{2*3} = -2.685$

Enter your answers as a comma-separated list of ordered pairs.

We found values of t, now we have to replace in the equations for x and y.

t = 3.35

$x = t^{3} - 3t = (3.35)^{3} - 3*3.35 = 27.55$

$y = t^{2} - 4 = (3.35)^2 - 4 = 7.22$

The first point is (27.55, 7.22)

t = -2.685

$x = t^{3} - 3t = (-2.685)^3 - 3*(-2.685) = -11.3$

$y = t^{2} - 4 = (-2.685)^2 - 4 = 3.21$

The second point is (-11.3, 3.21).

8 0

3 years ago