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myrzilka [38]
2 years ago
7

A polynomial function has – 5+ 3t as a root. Which of the following must also be a root of the function?

Mathematics
1 answer:
ale4655 [162]2 years ago
3 0

a

Radical roots occur as conjugate pairs

Given - 5 + t is a root , then

- 5 - t is also a root → a

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a gift shop sells 160 wind chimes per month at $150 each. the owners estimate that for each $15 increase in price, they will sel
adell [148]

Answer:

The price per wind chime that will maximize revenue = $ 315

Step-by-step explanation:

Given - A gift shop sells 160 wind chimes per month at $150 each. the owners estimate that for each $15 increase in price, they will sell 5 fewer wind chimes per month.

To find - Find the price per wind chime that will maximize revenue.

Proof -

Given that,

Total Wind chimes selling = 160

Price of each Wind chime = $150

Now,

Given that, for each $15 increase in price, they will sell 5 fewer wind chimes per month.

So,

Let the price = 150 + 15x

So,

Number of wind Chimes sold per month = 160 - 5x

So,

Total Revenue, R = (150 + 15x)(160 - 5x)

                             = 24000 - 750x + 2400x - 75x²

                             = 24000 + 1650x - 75x²

⇒R(x) = 24000 + 1650x - 75x²

Differentiate R with respect to x , we get

R'(x) = 1650 - 150x

Now,

For Maximize Revenue, Put R'(x) = 0

⇒1650 - 150x = 0

⇒150x = 1650

⇒x = 1650/150

⇒x = 11

∴ we get

Price per Wind chime = $ 150 + 15(11)

                                    = $ 150 + 165

                                    = $ 315

So,

The price per wind chime that will maximize revenue = $ 315

3 0
3 years ago
Evaluate f(2) for the function f(x) = 3x² + 2x - 5.
Softa [21]

Answer:

f(2)= 11

Step-by-step explanation:

you have to substitute 2 for every x you see:

                       f(x) = 3x² + 2x - 5

                       f(2)= 3(2)^2+2(2)-5

                       f(2)= 11

6 0
3 years ago
Write the expression 4 to the 4th(4 to the -7)(4)
Alenkasestr [34]

Answer:

-4^4(4^7), in that case, the answer would be (B) -4^11

Step-by-step explanation:

Hope this helps

3 0
3 years ago
3 l = _____ dl<br><br> A. 0.3<br> B. 0.03<br> C. 300<br> D. 30
Andru [333]

Answer: The correct option is D, i.e.,30.

Explanation:

It the given equation we have two units l and dl.

Where l represents the liter and dl represents the deciliter. These are the volume units.

We know that,

1 liter = 10 deciliter

It means,

1 l = 10 dl

Multiply both sides by 3,

1\times 3 l = 10\times 3 dl

3 l = 30 dl

Therefore, the correct option is D and 3 l = 30 dl.

6 0
3 years ago
What is value of x<br> Enter your answer in the box.
borishaifa [10]

Answer:

x=10

Step-by-step explanation:

Lets use a ratio.

3:2 (12 to 8)

We need to scale the x+4 up 3/2 to be equal to 2x+1

(3/2) x+4 = 2x+1

1.5x+6=2x+1

-1.5x    -1.5x

6=0.5x+1

-1          -1

0.5x=5

x=10

4 0
2 years ago
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