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Marta_Voda [28]
3 years ago
11

I need help with #13 please

Mathematics
1 answer:
defon3 years ago
3 0
13.) (t⁻⁴)⁻⁹t² Now if the exponents outside of the parenthesis, that means you multiply them. t⁻⁴⁽⁻⁹⁾=t⁴⁵ Next, When it look like this: t⁴⁵ · t², don't multiply! When it comes to this, you had to add the exponents because it has the same base number: t⁴⁵⁺²=t⁴⁷.
Here's your answer to your question, t⁴⁷.
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Find a polynomial P(x) with the zeros x=2, −(2), √3, −√3
Zigmanuir [339]

Answer:

P(x) = x^{4} - 7x² + 12

Step-by-step explanation:

Given zeros x = 2, x = - 2, x = \sqrt{3}, x = - \sqrt{3}

Then the factors are (x - 2), (x + 2), (x - \sqrt{3} ), (x + \sqrt{3} )

and the polynomial is the product of the factors, that is

P(x) = (x - 2)(x + 2)(x - \sqrt{3} )(x + \sqrt{3} ) ← expand in pairs using FOIL

      = (x² - 4)(x² - 3) ← distribute

     = x^{4} - 3x² - 4x² + 12 ← collect like terms

    = x^{4} - 7x² + 12

6 0
2 years ago
MATH HELP...PLz
PilotLPTM [1.2K]

a. 14, 18, 22, 26.... It is +4

b. 2,430, 7,290, 21,870..... It is x3

c. So it is going -2, -4, -6, -8 so the next one would be -10 which is -13 then -12 which is -25 and so on.

Hope this helps!


8 0
3 years ago
Please check these please
antoniya [11.8K]

-5x=60

The first thing we want to do is to divide -5 on both sides. We do this because -5x, is the same as -5 times x and we want to do the inverse of that.

After we divide on both sides, we get    x=60/-5

We know that 60 divided by -5 is -12.

Therefore our answer is:      x=-12

----------------------------------------------------------------------------------------------------------

5= n + 2

We always want to get the variable to be alone, so if we subtract by 5 we would be doing the opposite of getting the variable alone. Although, if we subtract by 2 on both sides, we would get the variable alone and the answer would be 3=n

Therefore our answer is:       False

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2(x-7)

By looking at this question, we see x being subtracted by 7. Then we see that 2 is being multiplied to that.

Therefore our answer is:        C

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The product of a number and 4 increased by 8

In these types of questions, it's smart to break it up. We will start with the product of a number and 4. We know that a number is a variable and if we look at the multiple choice answers we can see that the variable they chose to use is n. We also know that a product is when numbers get multiplied. So that means 4 and n get multiplied which turns into 4n.

For the other part of the problem, we know that increased by 8 means added my 8. Now that we got our answers, we put then together.


Therefore our answer is:       A    4n+8

----------------------------------------------------------------------------------------------------------

Pls give a like if this helped you!!!

4 0
2 years ago
Read 2 more answers
A manufacturer has a monthly fixed cost of $110,000 and a production cost of $14 for each unit produced. The product sells for $
vova2212 [387]

Answer:

Cost function C(x) == FC + VC*Q

Revenue function R(x) = Px * Q

Profit function P(x) =(Px * Q)-(FC + VC*Q)

P(12000) = -38000 Loss

P(23000) = 28000 profit

Step-by-step explanation:

Total Cost is Fixed cost plus Variable cost multiplied by the produce quantity.  

(a)Cost function

C(x) = FC + vc*Q

Where  

FC=Fixed cost

VC=Variable cost

Q=produce quantity

(b)

Revenue function

R(x) = Px * Q

Where  

Px= Sales Price

Q=produce quantity

(c) Profit function

Profit = Revenue- Total cost

P(x) =(Px * Q)-(FC + vc*Q)

(d) We have to replace in the profit function

<u>at 12,000 units </u>

P(12000) =($20 * 12,000)-($110,000 + $14*12,000)

P(12000) = -38000

<u>at 23,000 units </u>

P(x) =($20 * 23,000)-($110,000 + $14*23,000)

P(23000) = 28000

5 0
3 years ago
Calculate the area of the circular field if its radius is 110m and express this area in hectares?
Contact [7]
Hi There! :)

<span>Calculate the area of the circular field if its radius is 110m and express this area in hectares?

</span>A≈38013.27<span>m²
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