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Korolek [52]
3 years ago
9

PLEASE HELP HELP HELP HELP HELP

Mathematics
1 answer:
iragen [17]3 years ago
5 0

Answer:

here

Step-by-step explanation:

can you give me brainliest

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which statements are true about the graph of the function f(x) = 6x – 4 x2? check all that apply. the vertex form of the functio
Brut [27]

Answer:

The vertex of the function is the point (-3,-13)

The graph increase over the interval--------> (-3,∞)

Step-by-step explanation:

we have

f(x)=6x-4+x^{2}

<u>1) Convert to vertex form</u>

Group terms that contain the same variable, and move the constant to the opposite side of the equation

f(x)+4=x^{2}+6x

Complete the square. Remember to balance the equation by adding the same constants to each side

f(x)+4+9=x^{2}+6x+9

f(x)+13=x^{2}+6x+9

Rewrite as perfect squares

f(x)+13=(x+3)^{2}

f(x)=(x+3)^{2}-13 -----> function in vertex form

<u>2) Find the vertex</u>

The vertex of the function is the point (-3,-13)

<u>3) Find the axis of symmetry</u>

we know that

In a vertical parabola, the axis of symmetry is equal to the x-coordinate of the vertex

The x-coordinate of the vertex in this problem is equal to x=-3

therefore

the equation of the axis of symmetry is  x=-3

<u>4) Find the increase-decrease intervals</u>

The graph increase over the interval--------> (-3,∞)

The graph decrease over the interval--------> (-∞,-3)

see the attached figure to better understand the problem

<u>5) Find the x-intercepts of the function</u>

we know that

the x-intercepts are the values of x when the value of the function is equal to zero

In this problem the x-intercepts are  

(-6.61,0) and (0.61,0)

so

The function cross the x-axis twice

see the attached figure

5 0
3 years ago
Read 2 more answers
Evaluate O! + 1!.<br> a. 1<br> b. 2
ss7ja [257]

<u>Answer</u><u>:</u>

0! = 1

1! = 1

0! + 1! = 1 + 1 = 2

4 0
3 years ago
HELP I DONT KNOW WHICH CHOICE TO PICK
Nady [450]

Answer:

second option

Step-by-step explanation:

The perimeter is the sum of the 3 sides of the triangle

Given

hypotenuse = x\sqrt{2} and

the combined length of the legs = 2x , then

perimeter = x\sqrt{2} + 2x

6 0
3 years ago
A man deposited $ 800 in his account at a bank which offers 6% simple interest per annum. How much interest would he receive on
strojnjashka [21]

Answer:

The answer is Rs.43,200.

5 0
3 years ago
Hmu losers if ur just looking for a friend LOL ;)
ELEN [110]

Answer:

hii

Step-by-step explanation:

i am shakayla

4 0
3 years ago
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