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Anettt [7]
3 years ago
9

- - What is the vertex of the quadratic function f(x) = (x - 6)(x + 2)?

Mathematics
2 answers:
Juliette [100K]3 years ago
6 0

The Standard Form: f(x)=ax^2+bx+c when a, b and c are real numbers and  a must not be 0 (a ≠ 0)

We can convert it in the vertex form which is f(x)=a(x-h)^2+k

f(x)=(x-6)(x+2) Right now, the function takes form of intercepts, we have to convert it to the standard form as we will convert the standard form to vertex.

f(x)=x^2-4x-12 Distributed

f(x)=(x^2-4x)-12\\f(x)=(x^2-4x+4)-12-4

At this part, we can complete the square inside as we'll get (x-h)^2 and k

f(x)=(x-2)^2-16

The vertex is at (2, -16) [The vertex is at (-h, k) so (-(-2), -16) as we get (2, -16)]

kakasveta [241]3 years ago
4 0

Answer:

X=6,x=-2

Step-by-step explanation:

To solve this question we will have to follow the step by step procedure

(x-6)(x+2)

x^2+2x-6x-12

Let's continue

x^2-4x-12

Let's factorise

x^2-6x+2x-12

x(x-6)+2(x-6)

(x-6)(x+2)

so to solve further that is to get the value for x

x-6=0

Add 6 to both sides

x=6

x+2=0

Substrate 2 from both sides

x=-2

Therefore x=6,x=-2

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The perimeter of a rectangle is 24. If the length is 5 times the width, what is the area?
KATRIN_1 [288]

Answer: Area is 20

Step-by-step explanation:

Perimeter of a rectangle is 24

Let the length be x

Let the breadth be Y

Length is 5times the breadth

I.e

X=5y

Formula for perimeter of a rectangle is

2(length + breadth)

= 2(x+y)

Substitute for x=5y

2(5y+y)=24

2(6y)=24

6y=24/2

6y=12

Y=12/6

Y=2

Breadth = 2

Since length =5y

Length=5(2)

Length = 10

Area of a rectangle = length × breadth

Area= 10×2

Area = 20

Area of the rectangle is 20

6 0
3 years ago
What is a theoretical and Experimental Probability?
aniked [119]

Answer:

See below...

Step-by-step explanation:

Theoretical probability is the probability that something should happen based on the beginning conditions.  Such as having a jar of 30 marbles with 5 being blue.  The probability of pulling out a blue marble when selecting 1 marble is

5/30, or 1/6.  Theoretically you should pull one blue marble out every 6 times you pull a marble out.  

This isn't guaranteed to happen though, that's where experimental probability comes form.

Experimental probability is the number of desired outcomes achieved, divided by the total number of outcomes.  This is based on what actually happened.  Say you selected a marble, and put it back 10 times, recording the color each time and you got 2 blue marbles.  Your experimental probability is

2/10, or 1/5, which doesn't match the theoretical probability.  The more times this experiment is conducted, the closer your result will be to the theoretical probability

8 0
3 years ago
If A=,[2 5 7],find the value of <br> [1 4 9]<br> [8 3 6]<br>a23+a12-a32 matrix.​
Mazyrski [523]

Answer:

<em><u>T</u></em><em><u>H</u></em><em><u>E</u></em><em><u> </u></em><em><u>C</u></em><em><u>O</u></em><em><u>R</u></em><em><u>R</u></em><em><u>E</u></em><em><u>C</u></em><em><u>T</u></em><em><u> </u></em><em><u>A</u></em><em><u>N</u></em><em><u>S</u></em><em><u>E</u></em><em><u>R</u></em><em><u> </u></em><em><u>O</u></em><em><u>F</u></em><em><u> </u></em><em><u>T</u></em><em><u>H</u></em><em><u>I</u></em><em><u>S</u></em><em><u> </u></em><em><u>Q</u></em><em><u>U</u></em><em><u>E</u></em><em><u>S</u></em><em><u>T</u></em><em><u>I</u></em><em><u>O</u></em><em><u>N</u></em><em><u> </u></em><em><u>I</u></em><em><u>S</u></em><em><u> </u></em><em><u>5</u></em><em><u>.</u></em>

Step-by-step explanation:

Here,

a23=6

a12=5

a32=6

Now,

a23+a12-a32

=6+5-6

=5

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