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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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William has a lemonade stand. Today he made $17.55 in lemonade sales and one third that amount in cookie sales. How much money d
ira [324]
All together he made 23.40
One third of $17.55 is $5.85
When you add $17.55 and $5.85 together you get $23.40
4 0
3 years ago
Find the sum:<br> The blanks r subtraction signs
Evgen [1.6K]

Answer:

8x^2+6x-17

Step-by-step explanation:

All that we have to do is add the 3 and 5 so it's basically like combining like terms. So the first blank is 8.

Now we add the x and the 5x which is 6x, all we're doing is adding the x's.

Now we do add the two negative 10 and 7. So what is -10 + - 7 we add them normally but we'll still have the negative in front of them. So it's -17.

6 0
2 years ago
Qaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Kipish [7]

Answer:

32.8 miles

Step-by-step explanation:

Amy is driving to Seattle. Suppose that the remaining distance to drive (in miles) is a linear function of her driving time (in minutes). When graphed, the function gives a line with a slope of -0.95. See the figure below. Amy has 48 miles remaining after 31 minutes of driving. How many miles will be remaining after 47 minutes of driving?

Answer: The general equation of a line is given as y = mx + c, where m is the slope of the line and c is the intercept on the y axis. Given that the slope is -0.95, substituting in the general equation :

y = -0.95x + c

Amy has 48 miles remaining after 31 minutes of driving, to find c, we substitute y = 48 and x = 31. Therefore:

48 = -0.95(31) + c

c = 48 + 0.95(31)

c = 48 + 29.45

c = 77.45

The equation of the line is

y = -0.95x + 77.45

After 47 minutes of driving, the miles remaining can be gotten by substituting x = 47 and finding y.

y = -0.95(47) + 77.45

y = -44.65 + 77.45

y = 32.8 miles

3 0
3 years ago
Liwen and Celina shared some plants in a ratio of 5:6. Celina decided to give Liwen 2/3 of her plants, which left her with 21 fe
djyliett [7]

Answer: 231

<u>Explanation:</u>

Liwen    Celina

   5x          6x

5x - 21 = (\frac{2}{3})6x

5x - 21 = 4x

<u>-4x +21</u>   <u>-4x +21 </u>

  x        =        21


Liwen: 5x   = 5(21)   = 105

Celina: 6x   = 6(21)   =<u> 126</u>

                       Total:   231                    

6 0
3 years ago
Two hot air balloons are traveling along the same path away from a town
mariarad [96]

Answer:

A

Step-by-step explanation:

the answer is A because I got it right on my test

7 0
3 years ago
Read 2 more answers
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