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Dovator [93]
3 years ago
5

The graph of which function will have a maximum and a y-intercept of 4? f(x) = 4x2 + 6x – 1 f(x) = –4x2 + 8x + 5 f(x) = –x2 + 2x

+ 4 f(x) = x2 + 4x – 4
Mathematics
2 answers:
V125BC [204]3 years ago
7 0

Answer:

Option C (f(x) = -x^2 + 2x + 4)

Step-by-step explanation:

In this question, the first step is to write the general form of the quadratic equation, which is f(x) = ax^2 + bx + c, where a, b, and c are the arbitrary constants. There are certain characteristics of the values of a, b, and c which determine the nature of the function. If a is a positive coefficient (i.e. if a>0), then the quadratic function is a minimizing function. On the other hand, a is negative (i.e. if a<0), then the quadratic function is a maximizing function. Since the latter condition is required, therefore, the first option (f(x) = 4x^2 + 6x - 1) and the last option (f(x) = x^2 + 4x - 4) are incorrect. The features of the values of b are irrelevant in this question, so that will not be discussed here. The value of c is actually the y-intercept of the quadratic equation. Since the y-intercept is 4, the correct choice for this question will be Option C (f(x) = -x^2 + 2x + 4). In short, Option C fulfills both the criteria of the function which has a maximum and a y-intercept of 4!!!

VLD [36.1K]3 years ago
5 0

Answer:

it is c: f(x) = –x2 + 2x + 4

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5 0
2 years ago
Evaluate -3x^2-4x=-1
Butoxors [25]
Use the Quadratic formula, 

x= -b +/- sqrt(b^2-4ac)
     -------------------------
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x= 4 +/- sqrt(16+12)
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x = 4+/- sqrt(28)
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x = 4 +/- 2*sqrt(7)
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5 0
3 years ago
Jan spends part of her year as a member of a gym. She then finds a better deal at another gym, so she cancels her membership wit
ivann1987 [24]

Answer:

Number of months spent in first gym = 9

Number of months spent in second gym = 3

Step-by-step explanation:

Let she spent x months in a year at first gym and y months in a year at second gym

Now, there are 12 months in one year

⇒ x + y = 12

y = 12 - x .......(1)

Now, total money she spent in one year = $825

⇒ 75·x + 50·y = 825 .........(2)

Putting value of y from equation (1) in equation (2)

75·x + 50·(12 - x) = 825

⇒ 75·x - 50·x + 600 = 825

⇒ 25·x = 225

⇒ x = 9

Now, putting this value of x in equation(1)

⇒ y = 12 - 9

⇒ y = 3

Hence, number of months spent in first gym = 9

And number of months spent in second gym = 3

7 0
3 years ago
Determine the missing angle​
Assoli18 [71]

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106°

Step-by-step explanation:

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4 0
2 years ago
Nick is 30 years less than 3 times Rays age. If the sum of their ages is 74,how old are each of the men? Solve and write an equa
zaharov [31]
Nick = n
Ray = r

n=3r-30
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3r-30+r=74
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r=26
n=26*3-30
n=78-30
n=48
Nick is 48 years old and Ray is 26 years old
Hope this helps.
5 0
3 years ago
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