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Natasha2012 [34]
2 years ago
13

What polynomial has a graph that passes through the given points?

Mathematics
1 answer:
Evgen [1.6K]2 years ago
3 0
The answer is <span>B. y = x^3 + 4x^2 + 2x - 2 

A line that passes through all given point is the correct choice. Now, substitute x and y in all of the choices:

</span>B. y = x³ + 4x²<span> + 2x - 2 
Point 1: </span><span>(-2, 2) 
x = -2
y = 2
____
2 = (-2)</span>³ + 4 *(-2)² + 2 * (-2) - 2
2 = -8 + 4 * 4 + (-4) - 2
2 = -8 + 16 - 4 - 2
2 = 2
_____

Point 2: (-1, -1) 
x = -1
y = -1
____
-1 = (-1)³ + 4 *(-1)² + 2 * (-1) - 2
-1 = -1 + 4 * 1 + (-2) - 2
-1 = -1 + 4 - 2 - 2 
-1 = -1
____

Point 3: (1, 5) 
x = 1
y = 5
____
5 = (1)³ + 4 *(1)² + 2 * 1 - 2
5 = 1 + 4 * 1 + 2 - 2
5 = 1 + 4 + 2 - 2
5 = 5
____

Point 4: (3, 67) 
x = 3
y = 67
____
67 = (3)³ + 4 *(3)² + 2 * (3) - 2
67 = 27 + 4 * 9 + 6 - 2
67 = 27 + 36 + 6 - 2
67 = 67

So, line B passes through all choices.
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Ann and betty shared a sum of money in the ratio 2 : 3. ann received $120. what was betty's share?​
WINSTONCH [101]

Answer:

Betty got $180

Step-by-step explanation:

If its 2:3 and 2 is 120,  that means 120/2 equals 60. 60*3=180

4 0
3 years ago
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Novosadov [1.4K]

Answer:

25:64

Step-by-step explanation:

surface : 4×pi×R^2

R1 = 5x

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4piR1^2 / 4piR2^2 = R1^2/R2^2 = 5x^2/8x^2 = 25x^2/64x^2 = 25/64

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2 years ago
[WILL MARK BRAINLIEST]
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Answer:

The answer is 4 cm

Step-by-step explanation:

The answer is 4 cm because the formula for a cone is V=π r^2 h/3, and the formula for a cylinder is V=π r^2 h, and the cone's volume is V≈301.59, and, a cylinder with

r=4 and h=6 is V≈301.59

Therefore the answer is

4 cm

I hope this has satisfied you.

8 0
3 years ago
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Factor the expression below using the greatest common factor 6p3- 2p2 - 8p
miss Akunina [59]

Answer:

The Factor of expression using the greatest common factor is 2p(3p^2- p-4)

Step-by-step explanation:

Consider the provide expression.

6p^3- 2p^2 - 8p

We need to Factor the expression using the greatest common factor.

First look at the coefficients of the variable.

The coefficients are the factor of 2.

Variable p is the greatest common factor in the provided expression.

2p\times 3p^2- 2p\times p- 2p\times 4

2p(3p^2- p-4)

Hence, the Factor of expression using the greatest common factor is 2p(3p^2- p-4).

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