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Arlecino [84]
3 years ago
11

What is the vertex of the quadratic function f(x)=x2+6x+16? Write your answer

Mathematics
1 answer:
Olenka [21]3 years ago
5 0

Answer:

The vertex of the quadratic function is:

(x_{v}, y_{v})=\left(-3,\:7\right)

Step-by-step explanation:

Given the function

f\left(x\right)=x^2+6x+16

As the vertex of the form y=ax^2+bx+c is defined as:

x_v=-\frac{b}{2a}

As the quadratic function of parabola params are

a=1,\:b=6,\:c=16

so

x_v=-\frac{b}{2a}

x_v=-\frac{6}{2\cdot \:1}

x_v=-3

Putting x_v=-3 to determine y_v

y_v=\left(-3\right)^2+6\left(-3\right)+16

y_v=3^2-18+16

y_v=9-2

y_v=7

Therefore, the vertex of the quadratic function is:

(x_{v}, y_{v})=\left(-3,\:7\right)

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slamgirl [31]

Answer:

The area is 63.75 feet square

Step-by-step explanation:

Formula for area of a triangle is 1/2 × base × height

And we are given each of this variables in the question above

Therefore you just have to input those values to the formula

1/2×17/2×15

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Therefore the area of the triangle is 63.75 feet square

5 0
3 years ago
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Answer:

\frac{40}{41}

Step-by-step explanation:

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Sin A = 40 / 41

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6 0
3 years ago
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Step-by-step explanation:

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3 years ago
How many times can you expect to roll a 4 if you rolls a fair number cube 120 times? (A fair number cube has 6 sides numbered 1
ivann1987 [24]

Answer:

20times

Step-by-step explanation:

A fair of die has 6sides.

If 4 appears 'once' out of a 6.

Then, 4 will appear 2times out of 12 i.e

6faces = 1time

12faces = 2times.

But remember that we want to know how many times 4 will appear out of a 120

120faces = x times

Since 6faces = 1time (i.e 4 occur one time in six faces)

cross multiplying:

6 × x = 120

x = 120/6

x = 20times

This means 4 will appear 20times out of a 120

3 0
3 years ago
9. Find the remainder when the polynomial: p(x) = x⁴ + 2x³- 3x² + x - 1 is divided by (x - 2)
tankabanditka [31]

Answer:

answer is 21..............

<h2 />

<em><u>Explanation:</u></em>

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