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Anna007 [38]
3 years ago
15

What is the vertex of the function f(x) =1/2 x2 + 3x +3/2 ?

Mathematics
1 answer:
dimaraw [331]3 years ago
7 0

<em>The vertex for f(x) = 1/2 x2 + 3x +3/2 is:</em>

<u><em>(-3,-3)</em></u>

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The combined height of one fir tree and one pine tree is 212121 meters. The height of 444 fir trees stacked on top of each other
inn [45]

Answer: The height of each fir tree is 9 meters, and the height of each pine tree is 12 meters.

Step-by-step explanation:

Let x= height of each fir tree, y = height of each pine tree.

As per given, we have

x+y = 21          (i)

4x=y+24        (ii)

From (ii),

4x-y=24            (iii)

Add (i) and (iii), we get

5x=45\\\\\Rightarrow\ x=\dfrac{45}{5}\\\\\Rightarrow\ x=9

Put value of x in (i), we get

9+y=21\Rightarrow y=12

Hence, the height of each fir tree is 9 meters, and the height of each pine tree is 12 meters.

3 0
2 years ago
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Identify the variable(s), set up your equation(s), and solve. Richard has an elder sister who is twice his age and a younger sis
alexdok [17]

Answer:

7 years

Step-by-step explanation:

Given that:

Let Richard's age = x

Elder sister's age = 2x

Youngwr sister's age = x - 2

Product of sisters ages = 70

2x * (x - 2) = 70

2x² - 4x = 70

2x² - 4x - 70 = 0

x² - 2x - 35 = 0

x² - 7x + 5x - 35 = 0

x(x - 7) +5(x - 7) = 0

(x - 7) or (x + 5) = 0

x = 7 or x = - 5

X can't be negative

Hence, x = 7

Richard is 7 years

3 0
3 years ago
231 ( 40 + 15 ) = 231 x 40 + ------------ x -----------<br><br> which property is this
a_sh-v [17]

Answer:

12705

Step-by-step explanation:

The problem could be solved in two different methods:

1:

231×(55)=12705

2.

231×40+231×15=9240+3465=12705

6 0
1 year ago
Ned started the month with $137.06 in his bank account. Over the course of the month he got 2 paychecks. One for $286.77 and the
jonny [76]

Answer:

Step-by-step explanation:

-228.91

7 0
3 years ago
Somebody please help me
Elenna [48]

Answer:

I believe it's 4,080

Step-by-step explanation:

you just add the two numbers

7 0
3 years ago
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