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hram777 [196]
3 years ago
14

3 x. 3x²+x-3=0 Find the zeros

Mathematics
1 answer:
Tanya [424]3 years ago
3 0

Answer:

The zeroes of this polynomial are x_{1} \approx 0.847 and x_{2} \approx -1.180.

Step-by-step explanation:

Let 3\cdot x^{2}+x - 3 = 0, the quickest and most efficient approach to find the zeroes of this second order polynomial is by Quadratic Formula. For all a\cdot x^{2}+b\cdot x + c = 0, roots are determined by:

x_{1,2} = \frac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a} (1)

Where a, b, c are coefficients of the polynomial.

If we know that a = 3, b = 1 and c = -3, then roots of the polynomial are, respectively:

x_{1,2} = \frac{-1\pm\sqrt{1^{2}-4\cdot (3)\cdot (-3)}}{2\cdot (3)}

x_{1,2} =\frac{-1\pm \sqrt{37}}{6}

The zeroes of this polynomial are x_{1} \approx 0.847 and x_{2} \approx -1.180.

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Consider the expression. What is the result of applying the quotient of powers rule to the expression?
fenix001 [56]

Answer:

Let us consider the expression:

\frac{a^5\cdot b^6}{a^2\cdot b^9}     (1)

Now, the quotient of power rules says that the numbers that have same base can be find by subtracting if powers are with same sign

And adding if powers are with opposite sign.

We will solve equation (1) by this quotient of power rule.

So, it can be rewritten as:

a^{5-2}\cdot b^{6-9}

\Rightarrow a^{3}\cdot b^{-3}.

 

8 0
4 years ago
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What is the slope of staircase 1 and staircase 2???????
Gennadij [26K]

Answer:

slope of staircase 1= 3/5

slope of staircase 2= -2/3  (i only put negative because the staircase is going upward in the left direction, but you can be the judge of whether it's positive or negative)

Step-by-step explanation:

hope this helps :)

7 0
3 years ago
PLEASE HELP!
Igoryamba
Hello! $200 is the fixed amount. B doesn't have 200 as part of the problem, so B is eliminated. A is also out, because you add, not subtract. 100 is the amount of boots made, not the amount made per pair of boots. 100 would be the value of "x". The cost per day is $9,200, and 9,200 - 200 is 9,000. With 100 pairs of boots being made each day, 9,000/100 is 90. It would cost $90 per pair of boots made, with the variable "x" being beside it. The correct equation would be C(x) = 90x + 200. The answer is D.
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Please help (photo attached)
ipn [44]
Formula for triangle area = base times height over two. area of smallest triangle: 2*2/2, so 2. area of medium sized triangle: 2*6/2, so 6. the square in between those triangles has an area of four (2*2). the base of the largest triangle is 2+2+6, so 10, and the height is 4. use the formula to find its area is 20. add them all together to get 4+6+4+20 is 34 units^2.
8 0
3 years ago
A manager must select three coders from her group to write three different software projects. There are 7 junior and 3 senior co
gavmur [86]

Answer:

The total number of ways are 168.

Step-by-step explanation:

Consider the provided information.

There are 7 junior and 3 senior coders in her group.

The first project can be written by any of the coders. The second project must be written by a senior person and the third project must be written by a junior person.

For second project we have 3 choices and for third project we have 7 choices.

Now there are 2 possible case:

Case I: If first and second coder is senior, then the total number of ways are:

3\times 2\times 7=42

Case II: If first and third coder is junior, then the total number of ways are:

7\times 3\times 6=126

Hence, the total number of ways are: 42+126=168

6 0
3 years ago
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