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3 years ago

What is the vertex of the quadratic function?

Mathematics

1 answer:

viktelen [127]3 years ago

7 0

Answer:

The vertex is (6, -4)

Step-by-step explanation:

f(x) =(х – 8)(х – 4)

First find the zeros

0 = (х – 8)(х – 4)

0 = x-8 0 =x-4

x=8 x=4

The zeros are x=8 and x=4

The vertex is 1/2 way between the zeros

(8+4)/2 = 12/2 =6

To find the y value, substitute 6 into the function

f(6) = (6-8) (6-4)

= -2 (2) = -4

The vertex is (6, -4)

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mrs_skeptik [129]

Let's do

$\\ \rm\dashrightarrow y=\dfrac{3}{x-h}+k$

Release k for some while

we take h=0

y=3/x

So vertical asymptote is at origin now

It mentioned that it's at x=-5 so we need to change x

put -5 in place of h

$\\ \rm\dashrightarrow y=\dfrac{3}{x-(-5)}$

$\\ \rm\dashrightarrow y=\dfrac{3}{x+5}$

Vertical asymptote at x=-5

Now

for k=0 horizontal asymptote at origin

But it's given

y is at 12

Same put y=12 in place of k

$\\ \rm\dashrightarrow y=\dfrac{3}{x+5}+12$

h=-5
k=12

Graph attached for verification

3 0

2 years ago

I really need help please

antoniya [11.8K]

B. 30% is the better deal

.3x12=3.6

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4 0

3 years ago

WILL GIVE BRAINLIST SOON AS I CAN SOMEBODY PLEASE HELP ME

fgiga [73]

Answer:

A= 75.06 Sq Cm

Step-by-step explanation:

Please refer to the picture attached with this.

In ΔABD

AB = 8.5 , AD = 6 and say BD = x

Applying Pythagoras theorem in this triangle

Pythagoras theorem says

$a^2+b^2=c^{2}$

where c is the side opposite to the right angle, and b and a are the other two sides of the right angled triangle.

$x^2+6^2=8.5^{2}$

$x^2=72.25-36$

$x^2=36.25$

$x=6.02$

Hence side $a = x +19$

a = 6.02+19

a = 25.02

Now we apply the formula for area of a triangle which is given as

$A=\frac{1}{2}\times b \times h$

Where b is the base , here we have base as a = 25.02

h is the height , here h = 6

Putting these values in Formula we get

$A=\frac{1}{2}\times 25.02 \times 6$

$A= 25.02 \times 3$

$A=75.06$

Hence Area of the triangle is 75.06 sq cm

5 0

3 years ago

A cylinder soup has a radius of 1,6 in and is 5/7 in. tall what is the volume

nata0808 [166]

Answer:

$V=0.0623\ inch^3$

Step-by-step explanation:

Given that,

The radius of cylinder, r = 1/6 inch

The height of the cylinder, h = 5/7 inch

We need to find the volume of the cylinder. The formula for the volume of a cylinder is given by :

$V=\pi r^2 h\\\\=3.14\times (\dfrac{1}{6})^2\times \dfrac{5}{7}\\\\V=0.0623\ inch^3$

So, the volume of the cylinder is equal to $0.0623\ inch^3$ .

6 0

3 years ago

What makes the statement true? 7^-2=?<br> A. 49<br> B. 1/49<br> C. 14<br> D. 1/14

pogonyaev

49
${7}^{ - 2} \\ 7 \times - 7 = - 49$

8 0

3 years ago