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DiKsa [7]
2 years ago
12

What are the coordinates of the point on the directed line segment from (-6, -5) to

Mathematics
1 answer:
Drupady [299]2 years ago
3 0

Answer: In the attachment, solved for 15 minutes. Hope that helps!!

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Which is the polynomial function of lowest degree with rational real coefficients, a leading coefficient of 3 and roots StartRoo
anastassius [24]

Answer:

a) f(x)=3x^{3}-6x^{2}-15x+30

Step-by-step explanation:

1) In this question we've been given "a", the leading coefficient. and two roots:

x_{1}=\sqrt{5}\:x_{2}=2

2) There's a theorem, called the Irrational Theorem Root that states:

If one root is in this form x'=\sqrt{a}+b  then its conjugate x''=\sqrt{a}-b. is also a root of this polynomial.

Therefore

x_3=-\sqrt{5}

3) So, applying this Theorem we can rewrite the equation, by factoring. Remembering that x is the root. Since the question wants it in this expanded form then:

f(x)=3(x-\sqrt{5})(x+\sqrt{5})(x-2)\Rightarrow 3x^{3}-6x^{2}-15x+30

4 0
3 years ago
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In the linear equation y=3x-4, -4 represents the slope
damaskus [11]
3 (3/1) represents the slope and -4 is the y-intercept
4 0
3 years ago
The following are the temperatures of 10 days in winter in °C. − 3 , 0 , 10 , 2 , 8 , − 5 , − 1 , 9 , 2 , − 3 Work out the mean
marissa [1.9K]

The mean temperature of the given data − 3 , 0 , 10 , 2 , 8 , − 5 , − 1 , 9 , 2 , − 3 is 1.9

mean= 1.9

<h3>What is mean of the data?</h3>

The mean, or average, is calculated by adding up the data and dividing by total number of data.

Given data: − 3 , 0 , 10 , 2 , 8 , − 5 , − 1 , 9 , 2 , − 3

Now, mean =   \frac{sum \;of\; observation}{Total \;number \;of \;observation}

mean = \frac{(-3)+ 0+10+2+8+(-5)+ (-1)+ 9+2+(-3)}{10}

           = \frac{19}{10}

mean= 1.9

Hence, the mean of − 3 , 0 , 10 , 2 , 8 , − 5 , − 1 , 9 , 2 , − 3  is 1.9

Learn more about mean here:

brainly.com/question/22871228

#SPJ1

3 0
2 years ago
What is −8≥−5x+7≥-33
Anuta_ua [19.1K]
I think the answer is 3 < x < 8. Make sure to have the underlines underneath the < signs!
5 0
3 years ago
How do you solve radical 2x plus 5 equals x?
Ksenya-84 [330]
X=-5 is your answer. Hope this helps :)
8 0
3 years ago
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