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3 years ago

What are the coordinates of the vertex of the table? Is it a minimum or a maximum?

Mathematics

2 answers:

Tatiana [17]3 years ago

8 0

You can reconstitute the equation of this quadratic function
of te form:y = ax² + bx + c, by giving x and y the various values in the table. For instance: for x = 0, y =1. Plug 0 & 1 in the equation:1 = a(0)² +b(0) + c → c = 1 . You continue with the other values and you will find :
a-b = -3 and
4a - 2b =- 4
Solving it will give y = x² +4x +1
This is a parabola opening upward (because a >0) with an axis of symmetry = -b/2a or x= -2 and a minimum y = (-2)² -2(4)+1 = -3; hence
MINIMUM (-2, -3).
N.B: Your various answers don't mention my result. However in your
C. Answer they are claiming Maximum (-2,-3) and it's wrong it should be MINIMUM.
Please refer to your teacher since I am sure of the result

REY [17]3 years ago

8 0

Answer:

The answer is the option B

$(-2,-3)$ is a minimum

Step-by-step explanation:

using a graphing tool

plot the ordered pairs of the table

Observing the points in the graph the less value of y is equal to $-3$

therefore

the point $(-2,-3)$ is a minimum

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Solve the equation. Then check your solution

kondaur [170]

Answer:

Option B is correct i.e. 21

Step-by-step explanation:

In the question we're provided with an equation that is :

v/7 = 3

And we are asked to find the solution for the equation .

Solution : -

 $\longrightarrow \: \frac{v}{7} = 3$ 

Multiplying by 7 on both sides :

$\longrightarrow \: \frac{v}{ \cancel{7} }\times \cancel{7} = 3 \times 7$

On further calculations , we get :

$\longrightarrow \: \blue{\boxed{v = 21}}$

Therefore , solution for equation is 21 .That means option B is the correct answer.

Verifying :

We are verifying our answer by substituting value of v in the equation given in question :

$\longrightarrow \: \frac{v}{7} = 3$

Putting value of v :

$\longrightarrow \: \cancel{\frac{21}{7}} = 3$

By dividing 21 with 7 , we get :

$\longrightarrow \:3 = 3$

$\longrightarrow \: L.H.S=R.H.S$

$\longrightarrow \: Hence , \: Verified.$

Therefore , our answer is valid .

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3 0

2 years ago

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3-3x6+2 and how is that reached, please!

Dvinal [7]

The order of mathematical operation is MDAS.
M - multiplication
D - division
A - addition
S - subtraction

3 - 3 x 6 + 2

Multiplication : 3 x 6 = 18
Division: none
Addition : + 3 + 2 = 5 (combine positive numbers)
Subtraction : 5 - 18 = -13

3 - 18 + 2 = -13

3 0

3 years ago

PLEASE HELP

Iteru [2.4K]

Answer:

28.574

Step-by-step explanation:

18.2 x 3.14 then divied by 2

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3 years ago

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Louisa’s savings change by -$6 each time she goes bowling. In all, it changed by -$66 during the summer. How many times did she