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3241004551 [841]
3 years ago
14

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 <span> </span>
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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VLD [36.1K]
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5 0
3 years ago
The length of a rectangle is (x+5) and the width is (x+2). The area of the rectangle is 70 square feet. What is the length of th
vaieri [72.5K]

Answer:

The length of the rectangle is 30 feet.

Step-by-step explanation:

Because the equation for area is length times width, you would have to set the two equations to seventy and multiply them.

<em>     (x+5) (x+2) = 70</em>

<em>     </em><em>2x + 10 = 70</em>

Then, you would have to subtract ten from both sides, cancelling it from the left side.

<em>     2x = 60</em>

<em />

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Gloria earned $144 for 8 hours of work. What is her unit rate? Use a ratio table
NemiM [27]
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Lelechka [254]

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3 years ago
What is the area of a rectangle that is 3.1 cm wide and 4.4 cm long? Enter the full-precision answer first to see the correspond
Brrunno [24]

Answer:  Without rounding : 13.64 (square cm)

Rounded answer : 13.6(square cm)

Step-by-step explanation:

We know that the area of a rectangle is given by :-

A=l\times w, where l is the length and w is the width of the rectangle.

Given : The dimensions of a rectangle are 3.1 cm wide and 4.4 cm long.

Then, the area of rectangle will be:-

A=4.4\times 3.1=\dfrac{44}{10}\times\dfrac{31}{10}\\\\=\dfrac{1364}{100}=13.64\text{ cm}^2\approx13.6\ cm^2  \text{Rounded to the nearest tenth}

Therefore, the area of rectangle =13.6\text{ cm}^2

3 0
3 years ago
Read 2 more answers
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