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2 months ago

Given the values of the linear functions f (x) and g(x) in the tables, where is (f – g)(x) positive?

1 answer:

4 0

Upon reviewing the functions based on the tables, it is determined that (f - g)(x) is positive in the range of (–∞, 9).----------------------

For the

subtractive
function, we simply subtract the two functions, leading to:

$(f - g)(x) = f(x) - g(x)$

It retains a

positive
value when f is greater than g, which means: f(x) > g(x).Being a linear function, one will be greater prior to the equality, while the other will take precedence afterward.
They intersect at x = 9.
If x < 9, then f(x) is greater than g(x), thus, (f - g)(x) remains positive, which indicates that the
required interval is:(–∞, 9)

A related problem can be found at

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Profit is the difference between revenue and cost. The revenue, in dollars, of a company that manufactures cell phones can be mo

zzz [12365]

Answer:

The profit can be expressed as 70x + 50
If 240 phones are sold, the profit amounts to $16,850

Detailed explanation:

The revenue function R(x) is provided as $R(x)=2x^2+55x+10$

The cost function C(x) is given as $C(x)=2x^2-15x-40$

Profit is calculated by subtracting cost from revenue, expressed as Profit = Revenue − Cost

We substitute the given revenue and cost functions into this formula.

Denote the profit function as P(x).

$P(x)=R(x)-C(x)\\P(x)=2x^2+55x+10-(2x^2-15x-40)\\P(x)=2x^2+55x+10-2x^2+15x+40\\P(x)=70x+50$

Therefore, the profit function formula simplifies to 70x + 50

Since x denotes the quantity of phones sold, to find the profit when 240 phones are sold, we substitute x = 240 into the profit expression above.

$P(x)=70x+50\\P(240)=70(240)+50\\P(240)=16,850$

Hence, selling 240 phones yields a profit of $16,850

5 0

3 months ago

if you are adding two fractions that are both greater than 1/2 what must be true about the sum? Give three examples to support y

lawyer [12517]

Response:

When combining two fractions that each exceeds 1/2, their sum will invariably exceed 1.

Detailed breakdown: 1/2 + 1/2 = 1

Since both fractions exceed this amount, it is evident that the sum must as well.

Examples: 2/3+3/4= 1 5/12 4/6+6/9= 1 1/3

Hope this adds clarity

6 0

2 months ago

Which is the missing number: 9876, 6447, 2527, x?

Leona [12618]

This question reveals an intriguing pattern.

The rule or pattern to follow here is:

For the left side of the number compared to its predecessor: (First digit x Third digit + 1)

For the right side: (Second digit x Fourth digit -1)

For instance, consider 6447. Next, let's examine its previous number, 9876.

Now, $9\times 7+1=64$ and

$8\times 6-1=47$

that's how we arrived at 6447

Next, for the third number, 2527, let's look at its previous number, 6447

Now, $6\times 4+1=25$

and $4\times 7-1=27$

that's how we reached 2527

Following the same reasoning, the missing number should be 534.

This conclusion came from applying the rule of the pattern as:

$(2\times 2)+1=5$

and

$(5\times 7)-1=34$

Thus, we derived 534.

6 0

2 months ago

The source document states: (S) The process takes three hours to complete. The new document states: (S) The first step in the pr

tester [12383]

Answer:

Contained within.

Step-by-step explanation:

The accurate answer to the question posed is "contained within." This is because it was derived directly from the original text without requiring additional information, analysis, or interpretation in the new document.

4 0

3 months ago

Read 2 more answers

Sarah and her children went into a movie theater and she bought $35.50 worth of drinks and candies. Each drink costs $5 and each

AnnZ [12381]

Answer:

Sarah purchased 2 drinks and 6 candies.

Step-by-step explanation:

Let

x ----> the quantity of drinks Sarah bought.

y ----> the number of candies acquired by Sarah.

We know that

the total spent on drinks and candies was $35.50

therefore,

$5x+4.25y=35.50$ -----> equation A

She bought 3 times more candies compared to drinks.

thus,

$y=3x$ -----> equation B

To resolve the equations graphically

The solution lies at the intersection of the two graphs

utilizing a graphing tool

The result is the coordinate (2,6)

therefore,

Sarah bought 2 drinks and 6 candies.

4 0

2 months ago