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AfilCa [17]
3 years ago
5

What is the definition of intersection In math?

Mathematics
2 answers:
Oxana [17]3 years ago
7 0

Answer:

crossing each other

Step-by-step explanation:

an example is intersecting lines they are lines that cross each other

hope this helps :D

miskamm [114]3 years ago
6 0

Answer:

Step-by-step explanation:

an intersection is a point, line, or curve common to two or more objects

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according to the fundemental theorem of algebra, how many roots exist for the polynomial function? f(x) = (x^3-3x+1)^2
Svetradugi [14.3K]

Answer:

6

Step-by-step explanation:

First, we can expand the function to get its expanded form and to figure out what degree it is. For a polynomial function with one variable, the degree is the largest exponent value (once fully expanded/simplified) of the entire function that is connected to a variable. For example, x²+1 has a degree of 2, as 2 is the largest exponent value connected to a variable. Similarly, x³+2^5 has a degree of 2 as 5 is not an exponent value connected to a variable.

Expanding, we get

(x³-3x+1)²  = (x³-3x+1)(x³-3x+1)

= x^6 - 3x^4 +x³ - 3x^4 +9x²-3x + x³-3x+1

= x^6 - 6x^4 + 2x³ +9x²-6x + 1

In this function, the largest exponential value connected to the variable, x, is 6. Therefore, this is to the 6th degree. The fundamental theorem of algebra states that a polynomial of degree n has n roots, and as this is of degree 6, this has 6 roots

3 0
3 years ago
The length of a rectangle is 2 more than twice the width. The area of the
vlada-n [284]

Answer: w=5 , L= 2+2(5)=12

Step-by-step explanation:

L=2+2W

A= 60

LxW=60, now we will replace the L

(2+2W)(W)=60   we multiply

2w^2+2w=60

2w^2+2w-60=0  we divide by 2 the equation so we can work easier

w^2+w-30=0

find out w using the quadratic equation

we will get 2 solution,

w=5 and another solution is -6, which is not valid, as the side can not be negative

8 0
2 years ago
What is the factor of the trinomial <img src="https://tex.z-dn.net/?f=x%5E%7B2%7D" id="TexFormula1" title="x^{2}" alt="x^{2}" al
lara [203]

Refer to the attached for step by step explaination.

Have a nice day...

7 0
3 years ago
The corner convenience store sells candy bars at 4 for $2.91. At the price, how much would the store charge for 3 candy bars?
den301095 [7]

Answer:

$2.1825 or simplified is $2.18.

Step-by-step explanation:

<em>0.7275 per candy bars.</em>

<em>0.7275  x 4 = $2.91.</em>

So according to that logic,

<em>0.7275  x 3 = $2.1825.</em>

<em />

6 0
2 years ago
If f(5)=<br> 3, write an ordered pair that must be on the graph of y = f(x + 1) + 2
vlabodo [156]

f(5) = 3 means (5,3) is on the graph of f.

On the new graph, y = f(x+1) + 2, what do the +1 and +2 do?

Things inside the function notation inpact the x-values, since that's where x sits.

This outside the f(x) notation impact the y-values, since those are done after you've evaluated the function.

"+1" on the inside shifts every point to the left 1 unit.  (Inside changes are almost always opposite from what it looks like it would do.)

"+2" on the outside will shift every point up by 2 units.

So what do you get if you take (5,3) and shift it left 1 and up 2?

8 0
2 years ago
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