The equation of a parabola is given.y=−14x2+4x−19



What are the coordinates of the vertex of the parabola?



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Answers

Answer 1
Answer:

Answer:

vertex (  (1)/(7), (131)/(7)).

Step-by-step explanation:

Given : The equation of a parabola is given.

       y=−14x²+4x−19

To find  : What are the coordinates of the vertex of the parabola.

Solution : We have given that

y = −14x²+4x−19

we will be "completing the square" .

Factor out -14 to make leading coefficient 1

y = -14 (x^(2) -(2x)/(7) +(19)/(14))

Add and subtract ((-1)/(7)) ^(2)

y = -14 (x^(2) -(2x)/(7) +(19)/(14)+(-1)/(7)) ^(2) - ((-1)/(7))^(2)) .

Complete the square

y = -14 ( (x -(1)/(7)) ^(2) +(19)/(14)- ((-1)/(7))^(2)).

y = -14 ( (x-(1)/(7)) ^(2) -(131)/(7)

Standard form of parabola vertex form y  = a(x - h)²+ k,

Where, ( h, k)  are vertex

On comparing a = -14 , h= (1)/(7), k =  (131)/(7)

Therefore, vertex (  (1)/(7), (131)/(7)).

Answer 2
Answer: The coordinates are 8, -3.

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Answers

Answer:

ffbhjdhjdfahdsfsdfakfawlefgwaheghfgawlygfailwegfalawegfuwlgweilfygweiyaglifwafawegwegerg

Step-by-step explanation:

Can solve this...(-2e3)4?

Answers

I'm not really sure what you are asking but                                                                 Exact Form:−8e3-8⁢e3Decimal Form:−160.68429538…

Mariel thinks the tens digit goes up by 1 in these numbers. Do you agree? Explain. 864,865,866,867,868,869

Answers

Answer:

No, because it is not the tens digit that goes up by 1 in these numbers, it is the unit digit.

Step-by-step explanation:

It is important to know the concepts of units, tenths and cents.

For example

1 = 1 unit

10 = 1*10 + 0 = The tens digit is one the unit digit is 0

21 = 2*10 + 1 = The tens digit is two and the unit digit is 1.

120 = 1*100 + 2*10 + 0 = The cents digit is 1, the tens digit is two and the unit digit is 0.

So

Adding 1 is the same as the unit digit going up by 1.

Adding 10 is the same as the tens digit going up by 1.

Adding 100 is the same as the cents digit going up by 1.

In this problem, we have that:

864,865,866,867,868,869

Each value is the 1 added to the previous value, that is, the unit digit goes up by 1.

Mariel thinks the tens digit goes up by 1 in these numbers. Do you agree?

No, because it is not the tens digit that goes up by 1 in these numbers, it is the unit digit.

Answer:

disagree, its the unit number that goes up by 1

Step-by-step explanation:

The length of a rectangle is four times its width. If the perimeter of the rectangle is 50 cm, find its area.

Answers

Answer:

width=25/3

Length=75/3

Step-by-step explanation:

Given

Perimeter=50

Let width=x

Length=4x

So perimeter =2(length+width)

2(length+width)=50

2(X+2x)=50

3x=25

X=25/3

So width=25/3

Length=75/3

Is a tree decaying 10% each six weeks a quadratic function?

Answers

When something increases or decreases by a percentage over time, it's an exponential function, not a quadratic function.

Apply the Distributive Property 5(x + 3)

Answers

Answer: 5x + 15

Step-by-step explanation: The distributive property tells us that if we're given an expression such as 5(x + 3), we can multiply the 5 by both the x and the 3 to get 5x + 15.

Answer:

5x+15

Step-by-step explanation:

5*x+5*3