MATHEMATICS HIGH SCHOOL

For the function below, state the x-coordinate of the x-intercept that is located to the fight of the origin. $f(x)=x^3-9x$

Answers

Answer 1

Answer:

Answer:

x = 3

Step-by-step explanation:

It should NOT be "fight of the origin", rather "right of the origin".

Now let's move on to solve the question...

The x-intercept is found by setting the function equal to 0. Thus:

0 = x^3 - 9x

Let's solve this using algebra:

$0=x^3-9x\n0=x(x^2-9)\n0=x(x-3)(x+3)$

Hence, x = -3 and x = 3

The coordinate that is to the right of the origin is the positive one, so x = 3 is the x-intercept we are looking for.

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What is the area of the whole rectangle

Answers

Answer:

Step-by-step explanation:

it is divided into 4 rectangles

first rectangle ( 100 cm ^2)

area = l × b

= 10 × 10 = 100 cm^2

second rectangle ( 60 cm^2)

area = l × b

= 6 × 10 = 60 cm^2

third rectangle ( 20 cm^2)

area = l × b

= 2 × 10 = 20 cm^2

fourth rectangle ( 12 cm^2)

area = l × b

= 2 × 6 = 12 cm^2

so total area of the rectangle = 100 + 60 + 20 + 12 cm^2

= 192 cm^2

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The financial analyst at a small video game company develops the expression3.59g – 4960 to estimate the amount of profit per game sold (g) for a version upgrade of
one of its games. The company sets a goal of $75,000 profit on the game for the first
month of its roll out. How many games does the company need to sell in order to reach its
profit goal?
explain your work

Answers

Answer:

Break-even point in units= 22,273

Step-by-step explanation:

Giving the following information:

Contribution margin per game= $3.59

Fixed cost= $4,960

Desired profit= $75,000

To calculate the number of games to be sold, we need to use the following formula:

Break-even point in units= (fixed costs + desired profit) / contribution margin per unit

Break-even point in units= (4,960 + 75,000) / 3.59

Break-even point in units= 22,273

Kendrick rides his bike x miles per hour to school and it takes him x+15 minutes to get there. If Kendrick lives 5.4 miles from school, how many minutes does it take for Kendrick to ride to school? Please help me!

Answers

did u write this correctly, if u did then x=5.4, then t= 5.4+15, t=20.4

Final answer:

In order to find Kendrick's biking time to school, set up and solve the equation based on the rate-time-distance relationship, using the given conditions of 5.4 miles distance, x miles per hour speed, and a time of x+15 minutes.

Explanation:

The subject of this question is rate, time, and distance. To find out how long it takes for Kendrick to bike to his school, we should start with the rate-time-distance relationship formula. If we let 'x' be the speed at which Kendrick rides his bike, then the time taken is simply 5.4 divided by x (since distance = rate x time, and we rearrange to get time = distance/rate).

However, the question states that the time is 'x+15' minutes. Therefore, we can set up the equation '5.4/x = x + 15.' Solving this equation will give us 'x' which is both the speed in miles per hour and the time in minutes that it takes Kendrick to bike to school.