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Natasha2012 [34]
3 years ago
13

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

Mathematics
1 answer:
Evgen [1.6K]3 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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Simplify negative 5 and 1 over 6 − negative 8 and 1 over 2
Tomtit [17]

Answer:

Hi there!

Your answer is;

17/6 <em><u>OR</u></em> 2 & 5/6

Step-by-step explanation:

(-5+1)/6 - (-8+1)/2

First, simplify in parentheses!

-4/6 - -7/2

Next, change the symbol of 7/2 because two negatives make a positive!

-4/6 +7/2

Next, change the denominators so they both have the same

-4/6 + 7/2

× 3/3

-4/6 + 21/6

Simplify!

17/6

<u>OR</u>

2 & 5/6

Hope this helps

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
What is the amount of social security tax for a gross pay amount of $944?
mart [117]
6.2% of tax is taken out of an employees check.

944 x 6.2% = 58.53

B. is your answer
6 0
3 years ago
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Step-by-step explanation:

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Carlos is extending hood backyard patio. Currently, the area of the patio is n2+16n+64. West are the new length and width of the
sergejj [24]

Answer:

Width = 8 feet

Length = 8 feet

Step-by-step explanation:

Carlos is extending hood backyard patio. Currently, the area of the patio is n²-16n+64.

Step

We find the Length and Width

This is done by factorising the area

Area = n² - 16n + 64 = 0

n² - 8n - 8n + 64 = 0

(n² - 8n)  - (8n +64) = 0

n(n - 8)  -8(n - 8) = 0

(n - 8) (n - 8) = 0

n - 8 = 0

n = 8

The length and width  = 8 feet

Step 2

New length and width by extension is calculated as:

Width = 8 feet + 2 feet = 10 feet

Length =  8 feet + 2 feet = 10 feet

8 0
2 years ago
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