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Anton [14]
4 years ago
6

What is the y-value of the vertex of the function f(x)=-(x+3)(x-14)?

Mathematics
1 answer:
SIZIF [17.4K]4 years ago
5 0

If we expand the product, we have

f(x)=-(x+3)(x-14)=-x^2+11x+42

The x-coordinate of the vertex is given by

V_x=-\dfrac{b}{2a}=-\dfrac{11}{-2}=\dfrac{11}{2}

Plug this value in the equation to find the correspondant y-value:

f\left(\dfrac{11}{2}\right)=-\left(\dfrac{11}{2}\right)^2+11\left(\dfrac{11}{2}\right)+42=-\dfrac{121}{4}+\dfrac{121}{2}+42

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seraphim [82]

Answer:

Step-by-step explanation:

prob blue = 3/12 = 1/4

since you are replacing ,

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3 years ago
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The center of a circle is located at (3, 8), and the circle has a radius that is 5 units long. What is the general form of the e
n200080 [17]
Center of the circle: C=(3,8)=(h,k)→h=3, k=8
Radius of the circle: r=5
Standard form of the equation for the circle:
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(x-3)^2+(y-8)^2=5^2
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General for of the equation for the circle:
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x^2+y^2-6x-16y+48=0
4 0
4 years ago
I will give brainliest to one of the correct answers.
statuscvo [17]

Answer:

1. 7/41

2. 7/15

Step-by-step explanation:

1. Probability that it is a multiple of 6 given that it is a 2 digit number: There are 7 numbers that are a multiple of 6 and are 2 digits: 12, 18, 24, 30, 36, 42, and 48. There are 41 numbers that are 2 digits. So, it is 7/41

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3 years ago
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3 years ago
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