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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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Answer:

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Step-by-step explanation:

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3 years ago
Sissy wants to enlarge a picture of a princess so that she can put it on the wall in her daughter’s room. What will be the area
alisha [4.7K]

Answer:

= 486 in²

Step-by-step explanation:

Linear scale factor = Image distance/object distance

Therefore; Linear scale factor = OL'/OL

                                                 = 54/ 12

                                                 = 9/2

Area scale factor is equivalent to the square of linear scale factor

Thus;

Area scale factor = (9/2)²

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Hence; 81/4 = Area of larger rectangle/Area of smaller rectangle

Area of the smaller rectangle = 4 ×6 = 24 in²

Therefore;

Area of enlarged or larger pic = 81/4× 24

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3 0
3 years ago
Read 2 more answers
What are two fractions equivalent to 12/14
Andrews [41]

Hey there!

12/14

• BOTH NUMBERS HAVE THE COMMON FACTOR OF 2, SO WE CAN DIVIDE BOTH THE NUMERATOR (TOP number) FROM THE DENOMINATOR (BOTTOM number)

= 12 ÷ 2 / 14 ÷ 2

= 6/7

= 18/21

Therefore, your answer is: 6/7 or 18/21

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

3 0
3 years ago
Read 2 more answers
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Answer:

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Step-by-step explanation:

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3 years ago
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jeyben [28]

Answer:

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Step-by-step explanation:

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The sum of the lengths of the tangents from points A and B on side "c" is ...

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Now, the problem statement defines the sum of side lengths as ...

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The diameter of the inscribed circle is the difference between the sum of leg lengths and the hypotenuse.

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