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polet [3.4K]
3 years ago
13

The function b(n) = 6n represents the number of light bulbs b(n) that are needed for n chandeliers. How many lightbulbs are need

ed for 15 chandeliers?
90 lightbulbs
2 lightbulbs
96 lightbulbs
80 lightbulbs
Mathematics
2 answers:
Yuri [45]3 years ago
8 0
The answer is 90 lightbulbs.

b(n) - the number of light bulbs
n - the number of chandeliers
The function is b(n) = 6n

If n = 15, then:
b(15) = 6 · 15 = 90
Therefore, the number if light bulbs needed for 15 chandeliers is 90.
Arlecino [84]3 years ago
4 0

Answer:

Option A is correct.

90 lightbulbs are needed for 15 chandeliers.

Step-by-step explanation:

Given: The function b(n) = 6n                  ......[1]

where n represents chandeliers and b(n) represents the number of light bulbs.

To find the number of light bulbs are needed for 15 chandeliers.

Substitute n = 15 in [1] we get;

b(15) = 6 \cdot 15 = 90 lightbulbs

Therefore, 90 light bulbs are needed for 15 chandeliers.

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Find the first four iterates of the function f(x) = x2 with an initial value of x0 = -1.
jasenka [17]

Option A: 1,1,1,1 is the right answer

Step-by-step explanation:

In finding the function iterates we start with the initial value and put the initial value into the function and then the output of previous iterate is used as input for next iterate

Given

f(x) = x^2\\and\\x_0 = -1

<u>First iterate: </u>

Putting x=-1 in the function

f(-1) = (-1)^2\\=1

<u>Second iterate:</u>

Putting x=1

f(1) = (1)^2\\=1

<u>Third iterate:</u>

Putting x=1

f(1) = (1)^2\\=1

<u>Fourth iterate:</u>

Putting x=1

f(1) = (1)^2\\=1

First four iterates of given function with initial value -1 are: 1,1,1,1

Hence,

Option A: 1,1,1,1 is the right answer

Keywords: Functions, iterates

Learn more about function iteration at:

  • brainly.com/question/4770453
  • brainly.com/question/4771355

#LearnwithBrainly

5 0
4 years ago
Three vertices of a square are given. Find the coordinates of the fourth vertex. (_5, 5), (_5, 2), (_2, 2)
Katena32 [7]
<span>If you plot these points, you can probably see where the missing square corner is. But you might also notice that a square's sides are equal length. Between the first two coordinate pairs, the only thing that changes is the y value, from 5 to 2, or a change of 3. Between the 2nd two coordinate pairs, only the x value changes, from -5 to -2, or a change of 3. So it looks like the sides are 3 units long. The fourth coordinate should be 3 units away on the x coordinate from one "neighbor" and 3 units away on the y coordinate from its other neighbor. But it really would help to sketch it out so you don't get mixed up.
</span><span>(-2, 5)</span>
4 0
3 years ago
What is 2.7 x 10 to the 5th power
Lina20 [59]
The answer would be 270,000.
You would move the decimal place 5 times to the right.
3 0
3 years ago
Read 2 more answers
A home gardener estimates that 24 apple trees will have an average yield of 104 apples per tree. But because of the size of the
d1i1m1o1n [39]

Answer:

The farmer should plant 14 additional trees, for maximum yield.

Step-by-step explanation:

Given

Trees = 24

Yield = 104

x \to additional\ trees

So, we have:

Trees = 24 + x

Yield = 104 - 2x

Required

The additional trees to be planted for maximum yield

The function is:

f(x) = Trees * Yield

f(x) = (24 + x) * (104 - 2x)

Open bracket

f(x) = 24 * 104 + 104x - 24 * 2x - x * 2x

f(x) = 2796 + 104x - 48x - 2x^2

f(x) = 2796 + 56x - 2x^2

Rewrite as:

f(x) = - 2x^2 + 56x + 2796

Differentiate

f'(x) = -4x + 56

Equate f'(x) = -4x + 56 to 0 and solve for x to get the maximum of x

-4x + 56 = 0

-4x =- 56

Divide by -4

x =14

The farmer should plant 14 additional trees, for maximum yield.

5 0
3 years ago
SO i need help urgently. 15 points!
Aloiza [94]

Answer:

-a² + 2ab + b² is your answer, or C).

Step-by-step explanation:

b(a + b) -a (a - b)

Distribute b to (a + b), and -a to (a - b)

b(a + b) = ab + b²

-a(a - b) = -a² + ab

Simplify. Combine like terms.

(-a² + ab) + (ab + b²) = -a² + 2ab + b²

-a² + 2ab + b² is your answer, or C).

~

3 0
4 years ago
Read 2 more answers
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