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alex41 [277]
3 years ago
14

When a number is tripled, the result is 99. Let p represent the number. What is the value of the number?

Mathematics
1 answer:
artcher [175]3 years ago
6 0

Answer:

p equals 33 which is the answer to the problem

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Tyrone made 37 baskets out of 71 attempts. about what percent of his shots did he miss
Lunna [17]
He missed (71 - 37)/71 x 100 = 34/71 x 100 = 0.48 x 100 = 48%.
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John wants to plant some flowers in a cube shaped planter box if one edge of the box measures 4 inches how much soil will be nee
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About 4 inches of soil is needed
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2 years ago
Which correctly describes the roots of the following cubic equation?<br> x3 – 5x² + 3x+9=0
Vikki [24]

Answer:

-1 and 3

Step-by-step explanation:

First, note that there is an evident root in x=-1. You can see this because the coefficients of x3 and x sum the same number than the ones of x2 and the independent term (they sum 4: 1+3=4 and -5+9=4).

We can use this root to apply the Ruffini's rool with all the coefficients:

     1    -5    3   9

-1         -1     6  -9

     1    -6    9   0

This gives as that we can write the equation x3 – 5x² + 3x+9=0 as:

(x+1)*(x2-6x+9) = 0

The first term is due to the root x=-1 and the following is a product of Ruffini's rool. Now we need to find the 2 (at maximum) remaining roots, which are the roots of (x2-6x+9)=0

For this we could use Baskara's formula (you can try it) but lets do something simpler. We know that with the 2 roots, call them a and b, we can write the equation as: (x-a)(x-b)=0

If we apply distributive to (x-a)(x-b) we must get x2-6x+9. So, (-a)(-b) MUST be equal to 9. Working with integers there are not many options. Lets suppose a=b=3:

(x-3)*(x-3)=x2 -3x -3x + 9 = x2 - 6x + 9, and BINGO!

If we didnt get the results we could have tried with a=1 and b=9, for example, and so on. (please, compare with Baskara!).

So, we can write:

x3 – 5x² + 3x+9= (x+1)*(x-3)*(x-3) = (x-1)*(x-3)^2

And the roots are the values that make this equation zero:

x=-1 and x=3 where the last one is a double root.

7 0
3 years ago
A botanist records the height of a plant every day for a month. She wants to create a graph to show how the plant's height chang
telo118 [61]

They should use a SCATTER PLOT.

ʜᴏᴘᴇ ɪ ᴄᴏᴜʟᴅ ʜᴇʟᴘ —

7 0
2 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B3%5D%7B60%7D%20%7D%7B%5Csqrt%5B3%5D%7B36%7D%20%7D" id="TexFormula1" title=
PilotLPTM [1.2K]

Step-by-step explanation:

\tt{} \frac{ \sqrt[3]{60} }{ \sqrt[3]{36} }

\tt{} \frac{ \sqrt[3]{5} }{ \sqrt[3]{3} }

\tt{} \frac{ \sqrt[3]{5} }{ \sqrt[3]{3} }  \times   \frac{ \sqrt[3]{ {3}^{2} } }{  \sqrt[3]{ {3}^{2} }  }

\tt{} \frac{ \sqrt[3]{5}  \sqrt[3]{ {3}^{2} } }{ \sqrt[3]{3} \sqrt[3]{ {3}^{2} }  }

\tt{} \frac{ \sqrt[3]{5 \times  {3}^{2} } }{ \sqrt[3]{3 \times  {3}^{2} } }

\tt{} \frac{ \sqrt[3]{5 \times 9} }{  \sqrt[3]{ {3}^{3} }  }

\tt{} \frac{ \sqrt[3]{45} }{3}

\tt{}1.18563

8 0
3 years ago
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