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Arlecino [84]
3 years ago
10

Which graph has a y intercept of 2 and a slope of 1/2?

Mathematics
1 answer:
aliina [53]3 years ago
3 0
The second graph has a y intercept of 2 and a slope of 1/2
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Find a polynomial equation that has roots of -2 and double root 3
lbvjy [14]

Answer:

x³ + 2x² -3x +6

Step-by-step explanation:

We need to find the polynomial whose roots are ,

  • -2 , √3 and √3.

Say of we have zeroes as , α , β and γ , then the polynomial is ,

=> p(x) = k[ (x - α ) ( x - β) ( x - γ) ]

  • where k is constant. Substituting the respective values , we have ,

=> p(x) = k [ ( x - (-2)) ( x - √3) ( x -√3)]

=> p(x) = k[ (x+2)(x² - 3)]

=> p(x) = k[ x(x² - 3) + 2(x² - 3) ]

=> p(x) = k[ x³ - 3x + 2x² - 6 ]

=> p(x) = k[ x³ + 2x² - 3x - 6 ]

<h3><u>Hence </u><u>the</u><u> </u><u>cubic </u><u>polynomial</u><u> is</u><u> </u><u>x³</u><u> </u><u>+</u><u> </u><u>2</u><u>x</u><u>²</u><u> </u><u>-</u><u> </u><u>3x</u><u> </u><u>+</u><u> </u><u>6</u><u> </u><u>.</u></h3>
6 0
3 years ago
Please answer i need help
White raven [17]

Answer:

5-3í

Step-by-step explanation:

Because the root of nine is three, equaling 5-3í

3 0
3 years ago
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Celine has a bottle that contains 20% milk and the rest water. The bottle has 1 liter of water.
sashaice [31]
We know the amount of water is 1 liter and the milk is 20% of that. Let y be the total amount of liquid in the bottle.
so
y=1+(0.2*1)
7 0
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How many solutions does the system of equations below have?<br> y = –7x − 9<br> y = 23x − 89
Vlad1618 [11]

Answer:  infinitely many solutions

Step-by-step explanation: A system of two equations can be classified as follows:

If the slopes are the same but the y-intercepts are different, the system has no solution.

If the slopes are different, the system has one solution.

If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.

5 0
2 years ago
Which expression is equivalent to c^2-4/c+3 divided by c+2/3(c^2-9)
kifflom [539]
-41c squared + 4c + 3
------------------------------
                  c
4 0
3 years ago
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