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Lapatulllka [165]
3 years ago
12

I'm in need of help please

Mathematics
1 answer:
lidiya [134]3 years ago
7 0
First, the graph is a parbole, this is a square function, so it can not be the option a) because it is a linear function.

Second, the vertix of the parabole is the point (0,3), so use the general vertex form of the parabole:

y = A(x - h)^2 + k, where h and k represent the vertex (h,k).

So, the form of the funtion is y = A (x-0)^2 - 3 = Ax^2 - 3

Now, you also know that the roots of the parabole are close to -1 and 1 but they are not those exact value.

So, find the roots for any of the possible options:

b) f(x) = 2x^2 - 3 = 0 => 2x^2 = 3 => x^2 = 3/2 => x = +/- √(3/2) ≈ +/- 1.22

That is a very plausible answer

c) f(x) = (1/2)x^2 - 3 = 0 => x^2 = 2*3 = 6 => x = +/- √6  ≈ +/- 2.45, which is very far from the roots shown on the graph.

3) f(x) = x^2 - 3 = 0 => x^2 = 3 => x = +/- √3 ≈ +/- 1.73, which is not so close to +/- 1.

So, the answer is the option b) f(x) = 2x^2 - 3
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alina1380 [7]

Answer:

357

Step-by-step explanation:

hello :

note :    the n th term of an arithmetic sequence is :

An =A1+(n-1)d   ....a common difference is : d  and A1 the first term

in this exercice :   d = -3-(-7) =-7-(-11) = 4        A1 =  -11

when : n =93 you have the  93rd term  A93

so : A93 = -11 +(93-1)(4)

A93 = 357

7 0
3 years ago
Kamila has a rectangular lawn that measures 80 by 150 feet. She wants to lay gravel made from colored rock in a border, 6 feet w
Zarrin [17]
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see the attached figure  

Part 2)</span><span>Use your diagram to determine how many square feet of the gravel border will surround the lawn

area of the border=[162*92]-[150*80]----> 14904-12000-----> 2904 ft</span>²

Part 3) <span>Kamila decided that the depth of the gravel needs to be 2 inches. What is the total volume of gravel needed for the border?

we know that
1 ft-------> 12 in
 x--------> 2 in
x=2/12------> x=0.17 ft

volume of gravel needed=area of the border*deep of the gravel
</span>volume of gravel needed=2904*0.17----> 493.68 ft³
<span>
Part 4)</span><span>A large bag of colored rock contains a cubic yard and costs $30. What is the total cost of the rocks needed for the border?
</span>
1 yd³--------> 27 ft³
x---------> 493.68 ft³
x=493.68/27-----> 18.28 yd³

if 1 yd³----------> cost $30
 18.28 yd³------> x
x=18.28*30------> x=$548.53

the answer Part 4) is 
$548.53

6 0
4 years ago
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puteri [66]
Hello!

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2(wl + wh + lh)

The length is 11
The width is 8
The height is 6

Put in the values

2(8 * 11 + 8 * 6 + 11 * 6)

Multiply

2(88 + 48 + 66)

Add

2(202)

Multiply

404

The answer is 404 inches squared

Hope this helps!
8 0
3 years ago
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Answer:

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Step-by-step explanation:

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5 0
2 years ago
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astraxan [27]

Answer:

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