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nydimaria [60]
3 years ago
8

Perform the operation and reduce the answer fully. 3/4 + 1/10

Mathematics
2 answers:
Assoli18 [71]3 years ago
8 0

Answer:

17/20

Step-by-step explanation:

Alenkasestr [34]3 years ago
4 0
The answer is 17/20
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Write the polynomial in factored form as a product of linear factors f(r)=r^3-9r^2+17r-9
adelina 88 [10]

Answer:

  f(r) = (x -1)(x -4+√7)(x -4-√7)

Step-by-step explanation:

The signs of the terms are + - + -. There are 3 changes in sign, so Descartes' rule of signs tells you there are 3 or 1 positive real roots.

The rational roots, if any, will be factors of 9, the constant term. The sum of coefficients is 1 -9 +17 -9 = 0, so you know that r=1 is one solution to f(r) = 0. That means (r -1) is a factor of the function.

Using polynomial long division, synthetic division (2nd attachment), or other means, you can find the remaining quadratic factor to be r^2 -8r +9. The roots of this can be found by various means, including completing the square:

  r^2 -8r +9 = (r^2 -8r +16) +9 -16 = (r -4)^2 -7

This is zero when ...

  (r -4)^2 = 7

  r -4 = ±√7

  r = 4±√7

Now, we know the zeros are {1, 4+√7, 4-√7), so we can write the linear factorization as ...

  f(r) = (r -1)(r -4 -√7)(r -4 +√7)

_____

<em>Comment on the graph</em>

I like to find the roots of higher-degree polynomials using a graphing calculator. The red curve is the cubic. Its only rational root is r=1. By dividing the function by the known factor, we have a quadratic. The graphing calculator shows its vertex, so we know immediately what the vertex form of the quadratic factor is. The linear factors are easily found from that, as we show above. (This is the "other means" we used to find the quadratic roots.)

7 0
3 years ago
Julie works for 48 hours per week for 12 weeks during the summer, making $5000. If she works for 48 weeks during the school year
spayn [35]
She would need to work 12 hours per week. 
7 0
3 years ago
I don’t get this you have to do PEMDAS for this
Taya2010 [7]

Answer:

The answer would be 7. By using PEMDAS 6 to the power of 2 equals 36. Then you divide 36 by 3 to get 12. The final step would be to subtract 5 from 12 to get 7. <u>So 7 is your answer</u><u>.</u>

5 0
3 years ago
Complete the solution of the equation. Find the value of y when x equals to 9. 3x +4y=43
Nookie1986 [14]

Is there more to problem or is this it?


5 0
3 years ago
Help me with this question I don't get it
mylen [45]
No she will have more than enough paint have a wonderful evening
6 0
3 years ago
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