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almond37 [142]
3 years ago
15

Determine the minimum and maximum points in the function x2+4x+1​

Mathematics
1 answer:
olga2289 [7]3 years ago
3 0
7 is the right answer your looking for.
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Rewrite the equation in vertex form. then find the vertex of the graph. y=-3x^2-5x+1
amm1812

Answer: y = -3(x + \frac{5}{6})² + \frac{37}{12}, (-\frac{5}{6}, \frac{37}{12})

<u>Step-by-step explanation:</u>

First, you need to complete the square:

y   = -3x² - 5x + 1

<u> -1  </u>   <u>                -1  </u>

y - 1 = -3x² - 5x

y - 1 = -3(x² + \frac{5}{3}x

y - 1 + -3(\frac{25}{36}) = -3(x² + \frac{5}{3}x + \frac{25}{36})

           ↑                     ↓            ↑

                                  \frac{5}{3*2} = (\frac{5}{3*2})^{2}

y - 1 - \frac{25}{12} = -3(x + \frac{5}{6})²

y - \frac{12}{12} - \frac{25}{12} = -3(x + \frac{5}{6})²

y  - \frac{37}{12} = -3(x + \frac{5}{6})²

y = -3(x + \frac{5}{6})² + \frac{37}{12}

Now, it is in the form of y = a(x - h)² + k   <em>where (h, k) is the vertex</em>

Vertex = (-\frac{5}{6}, \frac{37}{12})

8 0
3 years ago
Which line is a linear model for the data?
DochEvi [55]

Answer:

Bottom Left Choice

Step-by-step explanation:

If you look at the points, they are traveling up and to the right. So is the line in the graph. Also, the line in the graph is closer to more dots than the others.

5 0
2 years ago
Read 2 more answers
Find the unit rate in each situation below in miles per hour.
sveticcg [70]
B. Is the correct answer
6 0
3 years ago
Read 2 more answers
Drew ran 5 3/ 8 miles yesterday. Collin ran 8 5/12 miles yesterday. How much farther did Collin run? Choose the correct values t
Alex73 [517]
Drew = 5 3/8
Collin = 8 5/12

\text {Difference = } 8\dfrac{5}{12} - 5\dfrac{3}{8} = 8\dfrac{10}{24} - 5\dfrac{15}{24}  =  7\dfrac{34}{24} - 5\dfrac{15}{24}  =  2\dfrac{19}{24}

\text {Answer : } 2\dfrac{19}{24}
8 0
3 years ago
I need help please!!!!​
Talja [164]

Answer:

c - 8.9

Step-by-step explanation:

2.3^2+ 8.6^2

✓79.25

8.9

3 0
3 years ago
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