Given F(x) = 3x 2 - 4, find F(-√3). a)-13 b)5 c)23

A game decreased in price by 2/3. After the reduction it was priced at £13. What was the original price of the game?

Archy [21]

Answer:

$x = 39$

Step-by-step explanation:

Based on the given conditions, write: $x=\frac{13}{1-\frac{2}{3}}$

Find common denominator and write numerators above common denominator: $x=\frac{\frac{13}{3-2} }{3}$

Calculate the sum or difference: $x=\frac{\frac{13}{1} }{3}$

Divide the fraction by multiplying its reciprocal: $x=13*3$

Calculate the product or quotient: $x=39$

Answer: $x=39$

5 0

2 years ago

Read 2 more answers

A car dealership pays a wholesome price of $12,000 to purchase a vehicle. The car dealership wants to make a 32% profit. The car

cestrela7 [59]

Answer:

$102.96

Step-by-step explanation:

Lets take this one part at a time.

the dealership pays 12000 for the car, so they start at -12000 for how much money they have.

The dealership wants to make a 32% profit. This means they want to make back the 12000 plus 32% of that. what is 32% of 12000? just multiply 12000 bty .32 In the end it works out that the price they sell it for is 15840

I do want to mention that there is a chance the 32% might also be accounting the bonus. So in other words the dealership spent 12000 for the car then however much in paying the bonus, and they want to make a 32% profit on both of these combined. I do not think that is what it is asking for, but I wanted to mention it.

Anyway, with a sales price of $15,840 it says the bonus is 6.5% of that. to find that just do the multiplication .065 * 15840 = 1029.60. So this is the bonus normally.

Now the question says the salesperson offers a 10 percent discount. This changes the sales price (by 10%) and the bonus they earn. let's calculate both.

First 10% discount of the sales price is .9*15840 = 14,256

Then 6.5% of that is .065*14256 = 926.64 So this is the new bonus.

The question wants the difference of the two bonuses, and difference is subtraction. so 1029.60 - 926.64 = 102.96 So if the salesperson offers a 10% discount they lose $102.96

5 0

2 years ago

St. Augustine grass can grow at the rate of 4 over 7 centimeter per week.

kotegsom [21]

Given, the rate of growth of St. Augustine grass is $\frac{4}{7}$ cm per week.

We have to find the number of weeks that the grass grow to $\frac{12}{7}$ cm.

Let's take the number of weeks be x.

In 1 week the grass grow = $\frac{4}{7}$ cm

So in x weeks the grass grow = $(\frac{4}{7}) (x) =\frac{4x}{7}$ cm

So we can write,

$\frac{4x}{7} =\frac{12}{7}$

To solve it for x, first we will move 7 to the right side by multiplying it to both sides. We will get,

$(\frac{4x}{7}) (7) =(\frac{12}{7})(7)$

$4x =(\frac{12}{7})(7)$

$4x = 12$

Now to get we will move 4 to the right side by dividing it to both sides. We will get,

$\frac{4x}{4} =\frac{12}{4}$

$x = 3$

So we have got the required answer.

After 3 weeks the grass grow $\frac{12}{7} cm$ .

3 0

3 years ago

A punter on Westview High School's football team kicks a ball straight up from 5 feet above the ground with an initial upward ve

Naily [24]

This can solved graphically, using algebraic manipulation or differential calculus.

Plotting the equation will generate a parabola. The vertex represents the point where the ball will reach the maximum height.

The vertex can be determined by completing the square
h = -16t2 + 45t + 5
h - 5 = -16(t2 - 45/16t)
h - 5 - 2025/64 = -16(t2 - 45/16t + 2025/1024)
(-1/16)(h - 2345/64) = (t - 45/32)^2

The vertex is
(45/32,2345/64) or (1.41,36.64)

The maximum height is 36.64 ft

Using calculus, taking the first derivative of the equation and equating to 0
dh/dt = 0 = -32t + 45
t = 45/32
Substituting this value to the equation
h = -16(45/32)^2 + 45(45/32) + 5
h = 36.64 ft

5 0

2 years ago

How should I write the story.

Alexeev081 [22]

There were 20 people in a bar. 10 people left. Then 4 more people left. 6 people were left

6 0

3 years ago