Answer:C
Step-by-step explanation:Because
Answer:A.18
Step-by-step explanation:
Answer:
Equation 3
Step-by-step explanation:
Lets see which of the functions has -2 as a zero root. We will go in order:
(1) (-2)^4 - 3(-2)^3 + 3(-2)^2 -3(-2) + 2 = 16 - 3(-8) + 3(4) + 6 +2 = 16 +24 +12 + 6 +2 =60 >0
So, (1) is wrong!
(2) (-2)^4 + 3(-2)^3 + 3(-2)^2 - 3(-2) - 2 = 16 - 24 + 12 + 6 - 2 =34 - 26 = 8 > 0
(2) is also wrong!
(3) (-2)^4 + 3(-2)^3 + 3(-2)^2 +3(-2) + 2 = 16 - 24 + 12 - 6 + 2 = 30 -30 = 0
The zero root x=-2 fits, what about x=-1?
(-1)^4 + 3(-1)^3 + 3(-1)^2 +3(-1) + 2 = 1 - 3 + 3 - 3 + 2 = 6 - 6 = 0
So, equation (3) fits both!
Finally, lets see (4):
(-2)^4 - 3(-2)^3 - 3(-2)^2 + 3(-2) + 2 = 16 + 24 - 12 - 6 + 2 = 42 - 18 = 24 > 0
So, (4) is also wrong.
Only equation 3 fits both zero roots!
The quartic function with x=-1 and x=-2 real roots is x^4+6x^3 +12x^2+12x+4. Quartic functions are polynomial functions of degree 4; quadratic equations resources also help understand the concept. In essence, finding roots of quartic functions follow the same logic as that of quadratic functions.
The subject matter pertains to quartic functions in mathematics. Quartic functions are polynomial functions with a degree of 4. From the question, the given zeros are x=-1 and x=-2, having multiplicity of 2 each (since there are only two real zeros). Thus, the quartic function with these zeros will be (x+1)^2*(x+2)^2. This can be expanded to x^4+6x^3 +12x^2+12x+4.
Exemplifying the relevance of The Solution of Quadratic Equations, normally known as second-order polynomials or quadratic functions, such equations can also be used to find zeros of the functions when set to equal zero. In this scenario, quartic functions are a degree higher, but the same principle applies in finding the roots when the equation is set equal to zero.
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Answer:
there are 10 trumpets
Step-by-step explanation:
Answer:
200 dollars
Step-by-step explanation:
800/100 25
8 times 25=200
The next step will be to use a compass and a straight edge to draw the second equilateral triangle with side AB. Option B is correct
Given that,
To determine the next step in the construction of a regular hexagon.
A polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,
Examples of the polygon, equilateral triangle, square, pentagon, etc
Here,
The next step is to draw a straight edge through the corresponding arc to the side AB, to form the second equilateral triangle.
Thus, the next step will be to use a compass and a straight edge to draw the second equilateral triangle with side AB. Option B is correct
Learn more about polygon here:
brainly.com/question/24464711
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Answer:
With compass setting the same as line segment PA, place the compass
at C and draw an arc that intersects the circle ⇒ answer D
Step-by-step explanation:
Lets revise the step of construction a regular hexagon
1. Draw circle with center P; put point A on the circle's edge at
any place
2. With compass setting the same as line segment PA, place the
compass at A and draw an arc that intersects the circle at B
3. With compass setting the same as line segment PA, place the
compass at B and draw an arc that intersects the circle at C
4. With compass setting the same as line segment PA, place the
compass at C and draw an arc that intersects the circle at D
5. Contain with the same step of placing the compass at the previous arc and draw an arc with same distance of PA until you reach point A again, then join each arc on the circle forming the regular hexagon
The given steps are:
Circle with center P; point A is along the circles edge, an arc at point B
is along the circles edge, and an arc at point C is along the circles edge
According to the steps above, the next step is:
With compass setting the same as line segment PA, place the
compass at C and draw an arc that intersects the circle (step 4)
Predictions : brainly.com/question/13382035