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riadik2000 [5.3K]
2 years ago
12

Does the function g(x) = -2x2 + 10x + 2 have a minimum or a maximum? Identify its value. +

Mathematics
1 answer:
Hitman42 [59]2 years ago
3 0

Answer:

(5/2, 29/2), and this represents a maximum

Step-by-step explanation:

g(x) = -2x^2 + 10x + 2 is a quadratic function with coefficients {-2, 10, 2}.

The formula for the axis of symmetry (which passes through the vertex) is

x = -b/ [2a].  Here, a = -2; b = 10.  Therefore, the axis of symmetry is

x = -10/ [2(-2)] = -10/(-4) = 5/2

Evaluate the function g(x) = -2x^2 + 10x + 2 at x = 5/2 to determine the y-coordinate of the vertex:

g(5/2) = -2(5/2)^2 + 10(5/2) + 2, or

g(5/2) = -2(25/4) + 25 + 2, or

g(5/2) = -25/2 + 27, or

g(5/2) = 14.5

The vertex is thus (5/2, 29/2), and this represents a maximum, because the coefficient of the x^2 term is negative (the curve opens downward).

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Answer:

13

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6 0
3 years ago
The table shows the height of Sonya‘s siblings who is taller Frida or Julia compare their hearts using the simple >
Vladimir [108]

Answer:

The  height of Julio greater than  the height of Frieda .

Step-by-step explanation:

Given height as :

The height of Frieda = 5\frac{1}{4} ft

The height of Julio = 5\frac{5}{6} ft

So, The height of Frieda = 5\frac{1}{4}

                                         = 5 + \frac{1}{4}

                                         = \frac{20+1}{4}

                                         = \frac{21}{4}  feet

∴  The height of Frieda = 5.25 feet

And The height of Julio = 5\frac{5}{6} ft

So, The height of Julio    = 5\frac{5}{6}

                                         = 5 + \frac{5}{6}

                                         = \frac{30+5}{6}

                                         = \frac{35}{6}  feet

∴ The height of Julio    = 5.83 feet

Since 5.83 feet  > 5.25 feet

So  the height of Julio >  the height of Frieda

Hence The  height of Julio greater than  the height of Frieda . Answer

5 0
3 years ago
0.1846 as a fraction
olchik [2.2K]

923/5000

If you put it in your calculator

4 0
3 years ago
Read 2 more answers
Which polynomial correctly combines the like terms and expresses the given polynomial in standard form? 9xy3 â€"" 4y4 â€"" 10x2y
Aleksandr-060686 [28]

The first option is correct here: -13y^4 + 3x^4 - 8x^2y^2 + x^3y + 9x y^3

<h3>Given the polynomial:</h3>

9xy^3 - 4y^4 - 10x^2y^2 + x^3y + 3x^4 + 2x^2y^2 - 9y^4

<h3 /><h3>Simplification:</h3>

Combine the like terms together as shown below:

9xy^3 - 4y^4 - 10x^2y^2 + x^3y + 3x^4 + 2x^2y^2 - 9y^4\\= (-4y^4 - 9y^4)  + 9xy^3 + (-10x^2y^2 + 2x^2y^2) +x^3y +3x^4\\= -13y^4 +9xy^3 -8x^2y^2 + x^3y + 3x^4\\= -13y^4 +3x^4  -8x^2y^2 + x^3y + 9xy^3

Thus, the first option is correct here: -13y^4 + 3x^4 - 8x^2y^2 + x^3y + 9x y^3

For more information, refer to:

brainly.com/question/10689855

4 0
2 years ago
Guys the answer guys plz​
ryzh [129]

Answer:

No

Step-by-step explanation:

The definition of a prime number is a number that only has factors of 1 and itself.  So there are only 2 factors.  

4 has 3 factors: 1, 2, and 4.  It has factors of 1 and itself (4), but also has an extra factor (2), so 4 is not a prime number

8 0
3 years ago
Read 2 more answers
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