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klemol [59]
3 years ago
10

2. Compare the function ƒ(x) = –x^2 + 4x – 5 and the function g(x), whose graph is shown. Which function has a greater absolute

maximum (vertex)?

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
3 0

Answer:

g(x)

Step-by-step explanation:

The vertex of g(x) as shwon in the graph is located in the point wich coordinates are (3.5,6.25) approximatively

We need to khow the coordinates of f(x) vertex

  • Here is a way without derivating:

f(x) = -x² + 4x -5

let a be the leading factor, b the factor of x and c the constant:

  • a= -1
  • b= 4
  • c= -5

The coordinates of a vertex are: (\frac{-b}{2a} , f(\frac{-b}{2a}) )

-b/2a = -4/ (-1*2) = 4/2 = 2

f(2)= -2²+4*2-4 = -4+4-4 = -4

obviosly f(x) has a minimum wich less than g(x)'s maximum

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Anne picked out 3 board games from her cabinet to take to a game night with her friends. She still has more than 10 board games
Tresset [83]

Answer:

x - 3 > 10

There were more than

13

board games in Anne's cabinet to start.

Step-by-step explanation:

The variable x represents how many board games were in Anne's cabinet to start. Since she has already picked out 3 board games to bring, the expression x–3 represents how many board games are still in the cabinet.

And, since Anne has more than 10 board games still in her cabinet, x–3 must be greater than 10.

This inequality shows the relationship.

x–3>10

Now, solve for x.

x–3

> 10

x–3+3

> 10+3 Add 3 to both sides

x

> 13 Simplify

So, there were more than 13 board games in Anne's cabinet to start.

8 0
3 years ago
Can someone please help me
Vsevolod [243]
The restrictions for the equation is that the denominator can not be zero. So the restrictions for x would be what values make the denominator zero.

7x^2 + 6x = 0
factor
x(7x + 6) = 0
multiply any number by 0 and you get 0. So either x = 0 or 7x+6 = 0
since there's a x in the numerator x/x = 1 so this will not be a restriction. Then the only restriction is:
7x+6 = 0
7x = -6
x = -6/7
5 0
3 years ago
CAN SOMEONE PLEASE HELP MEEEEEEEEEEE
dezoksy [38]

Answer:

80

Step-by-step explanation:

3 0
2 years ago
What is 3/4 - 1/2?...Please explain...Rewarding Brainliest...
PSYCHO15rus [73]

Answer:

1/4

Step-by-step explanation:

Find common denominators. Note that what you multiply (or divide) from the denominator, you must also do the same to the numerator.

In this case, the common denominator would be 4. Multiply 2 to both the numerator & denominator of (-1/2):

(-1/2) * (2/2) = (-1 * 2)/(2 * 2) = -2/4

Subtract across:

3/4 - 2/4 = (3 - 2)/4 = 1/4

1/4 is your answer.

~

3 0
3 years ago
Help me thank you!!​
asambeis [7]

Answer:

3.125

Step-by-step explanation:

i hope this helps

3 0
3 years ago
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