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3 years ago

Consider the two functions shown here. What is the rate of change of each function?

Mathematics

1 answer:

Katarina [22]3 years ago

7 0

The rate of change is the same as the slope.

Let's find the slope of function 1 using the Rise Over Run rule.
The rise is 2 and run is 1. So your rate of change is 2/1 or 2 for function 1

Function 2 is a y = mx + b equation, the slope is usually "m" or before the x
y = 1/2x + 7
1/2 is your rate of change for function 2

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Six friends create a website. The website earns money by selling banner ads. The site has 5 banner ads. It costs $120 a month to

Naddik [55]

Answer:

A.) y = 0.005x - 120

B.) You need more than 24,000 clicks to make a profit, or at least 24001 clicks.

Step-by-step explanation:

A.)

1. We know that the amount of money for each click is $0.005, which means that that's the amount of money you need to multiply by the number of clicks (or x) to find the amount of money you're making from the ads.

2. We also know that the cost to keep the website up is 120$, which is a loss of 120 dollars. To find the total profit in a month, you have to subtract whatever the profit from ads was by 120.

3. Since the amount from ads is 0.005 * x minus the cost of the website to be up, 120, the equation for the profit (or y) would be y = 0.005x-120

B.)

Next up is graphing it:

Geometry Way:

1. You can use any online graphing program, or hand graph it (I'll link one that I use in the comments--- Desmos).

2. Graph the equation.

3. Find the value in which that the profit would be 0. Anything more than that would be all of the values in which y is not 0 or negative.

Algebra Way:

1. Plug in 0 for y, or the profit.

2. Simplify. You'll find that when the profit is 0, the amount of clicks would be 24,000. Anything more than that would be positive.

Hope this helped!

7 0

2 years ago

If a procedure meets all of the conditions of a binomial distribution except the number of trials is not fixed, then the geomet

morpeh [17]

Answer:

The probability is 0.0428

Step-by-step explanation:

First, let's remember that the binomial distribution is given by the formula:

$P(X=k) =\left[\begin{array}{ccc}n\\k\end{array}\right] p^{k}(1-p)^{n-k}$ where k is the number of successes in n trials and p is the probability of success.

However, the problem tells us that when there isn't a number of trials fixed, we can use the geometric distribution and the formula for getting the first success on the xth trial becomes:

$P(X=x) = p(1-p)^{x-1}\\$

The problem asks us to find the probability of the first success on the 4th trial (given that the first subject to be a universal blood donor will be the fourth person selected)

Using this formula with the parameters given, we have:

p = 0.05

x = 4

Substituting these parameters in the formula and solving it, we get:

$P(X=4) = 0.05(1-0.05)^{4-1}\\P(X=4) = 0.05 (0.95)^{3}\\P(X=4) = 0.05(.8573)\\P(X=4) = 0.0428$

Therefore, the probability that the first subject to be a universal blood donor is the fourth person selected is 0.0428 or 4.28%

7 0

3 years ago

Kari is saving money to buy a car. To purchase the car that she wants she will need to have at least a $5000 down payment. If Ka

ad-work [718]

Answer:

C ) She needs to save AT LEAST 20 months

Step-by-step explanation:

Half of her income each month is $250

m= months

250m ≥ 5000

m≥ 20

6 0

2 years ago

Q # 4 Simplify the product

timama [110]

For this case we have the following product:
$(x-4) (x + 3)
$
We must use the distributive property correctly to solve the problem.
We have then:
$x ^ 2 + 3x - 4x - 12
$
Then, we must add similar terms.
We have then:
$x ^ 2 - x - 12
$
Answer:
The final product is given by:
$x ^ 2 - x - 12
$
option 2

8 0

3 years ago

Gina sells 216 cakes in the ratio small :medium:large 5:7:12. The profit for one medium cake is twice the profit for one small c

Rus_ich [418]

To answer this question you need to first set up the small, medium, large number of cakes as a ratio with a total. From here you will create a new ratio of the correct number of small medium and large Cakes sold using the total 216. The factor would be to multiply by nine. -Step 1 in picture. After this you would read what the relationship is between a medium and a small and the large and the small profits are - Step 2 in picture. After this you would represents the total profit based on the number of small medium and large cakes that were sold. Making this equal to L648.45. To find the profit for one small, you would then divide 648.45 by the 495 you got when you simplify the expression. The answer is L1.31.

5 0

3 years ago

Read 2 more answers