The number of cards in 4/5 of Hazel's baseball card collection is equal to twice the number in her brother's collection. If Hazel's brother has 80 cards, how many does Hazel's have?

Answer:(3n/5) -15

Step-by-step explanation:

Let the original price be n

The video game is sold for 15 dollars less than three fifths of the original price of the cell phone. This means

Selling price of video game = 3n/5 -15

Expression that represents the sale price of the cell phone if n is the original price of the cell phone

=(3n/5) -15

Answer:

Answer D

Step-by-step explanation:

Final answer:

The solution to the inequality 2x³ – 3x² – 14x ≥ 0, as indicated by the graph provided, is given by the intervals of x where the function is increasing. Therefore, the solution is comprised of the intervals [-2, -1] and [3.5, ∞].

Explanation:

The solution to 2x³ – 3x² ≥ 14x can be found by solving the inequality. First, let's rearrange the inequality to: 2x³ – 3x² – 14x ≥ 0. This equation represents where the function is positive (above the x-axis) on the graph. Therefore, we must identify the intervals of x where the function increases or decreases.

Based on the description of the graph, the function increases in the intervals (-2, -1) and (3.5, ∞) and decreases in the interval (-1, 3.5). So, the solution to the inequality would be the union of the intervals where the function increases: [-2, -1] U [3.5, ∞].

Learn more about Inequalities here:

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Answer:

Option C: (3*x)^2 = 324

Step-by-step explanation:

Janene is solving the equation:

Log₃ₓ(324) = 2

First, some rules we need to remember:

Logₙ(x) = Ln(x)/Ln(n)

and:

Ln(x^b) = b*Ln(x)

So we can rewrite our expression as:

Log₃ₓ(324) = Ln(324)/Ln(3*x) = 2

Ln(324) = 2*Ln(3*x)

Now we can use the second property:

Ln(324) = 2*Ln(3*x) = Ln( (3*x)^2 )

The arguments in both sides must be the same thing, then:

324 = (3*x)^2

This is the exponential equation she needs to solve.

Then the correct option is C.

Answer:

a) 40$ b) 7600

Step-by-step explanation:

In my opinion, the best way to go about this is to simply start by doing 20×300, 25×270, 30×240, etc. Once I reached 40, I realized that my revenue was going down after it, so I saw that a 40 dollar starting price would being in more money. 40×190 - (the amount of students who will buy at that price) equals 7600, which will be your maximum revenue. I hope i could help, good luck.