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Zina [86]
1 year ago
12

Given the functions f(x) = log2(2x) and g(x) = 2x – 3, which of the following statements is true? Both f(x) and g(x) decrease on

the interval of (–∞, 1). Both f(x) and g(x) have the same range of (–∞, 0]. Both f(x) and g(x) have the same x-intercept of (0, 0). Both f(x) and g(x) increase on the interval of (0 , ∞).
Mathematics
1 answer:
Mama L [17]1 year ago
7 0

The true statement is that (d) both f(x) and g(x) increase on the interval of (0 , ∞)

<h3>How to determine the true statement?</h3>

The functions are given as:

f(x) = log₂(2x)

g(x) = 2x - 3

Next, we plot the graph of both functions (see attachment)

From the attached graph, we can see that:

As x increases, the functions value increase

Hence, the true statement is that (d) both f(x) and g(x) increase on the interval of (0 , ∞)

Read more about functions at:

brainly.com/question/14391067

#SPJ1

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A company makes and sells charm bracelets. The cost of producing x bracelets is represented by the function
Serggg [28]

P(x) = 12x – 180

Given:

A company makes and sells charm bracelets.

The cost of producing x bracelets is represented by the function C(x) = 180 +

8x

The revenue earned from selling x bracelets is represented by the function

R(x) = 20x.


Explanation of terms:

For x bracelets,

Cost of production is C(x); C(x) = 180 + 8x

Revenue earned is R(x); R(x) = 20x.Profit made is P(x); P(x) is unknown

Profit made = Revenue earned – Cost of production

∴ P(x) = R(x) – C(x)

P(x) = 20x – (180 + 8x)

P(x) = 20x – 180 – 8x

P(x) = 12x – 180

The profit made from selling x bracelets is represented by the function

<em> P(x) = 12x – 180</em>



8 0
3 years ago
Read 2 more answers
Please help me :)), do not 'troll' with answers, it's graded...
wolverine [178]

The first one, decreasing then increasing

4 0
3 years ago
Currently, an employee can assemble on average, x amount of masks per hour. An INDLS student makes twice as many N95 Masks as th
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The correct answers is 45 masks per hour
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FASTTTTTTTTT PPPPPPPPPPPPPPLLLLLLLLLLLLLLLLZZZZZZZZZZZZZZZ
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Answer:

(a) B

(b) $2

Step-by-step explanation:

(a) Let's say the cost of a ticket is t and the cost of popcorn is p. Then we can write the two equations from the table:

12t + 8p = 184

9t + 6p = 138

We need to solve this, so let's use elimination. Multiply the first equation by 3 and the second equation by 4:

3 * (12t + 8p = 184)

4 * (9t + 6p = 138)

We get:

36t + 24p = 552

36t + 24p = 552

Subtract the second from the first:

    36t + 24p = 552

-    36t + 24p = 552

________________

       0 = 0

Since we get down to 0 = 0, which is always true, we know that we cannot determine the cost of each ticket because there is more than one solution (infinitely many, actually). The answer is B.

(b) Our equation from this, if we still use t and p, is:

5t + 4p = 82

Now, just choose any of the two equations from above. Let's just pick 9t + 6p = 138. Now, we have the system:

5t + 4p = 82

9t + 6p = 138

To solve, let's use elimination again. Multiply the first equation by 6 and the second one by 4:

6 * (5t + 4p = 82)

4 * (9t + 6p = 138)

We get:

30t + 24p = 492

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Subtract the second from the first:

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________________

      6t + 0p = 60

So, t = 60/6 = $10. Plug this back into any of the equations to solve for p:

5t + 4p = 82

5 * 10 + 4p = 82

50 + 4p = 82

4p = 32

p = 32/4 = $8

So the ticket costs 10 - 8 = $2 more dollars than the popcorn.

5 0
3 years ago
Read 2 more answers
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In this problem, we let x be the number of half gallons of milk the store bought, and x-12 be the remaining half gallonsWe use the equation profit = revenue-cost
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