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skelet666 [1.2K]
3 years ago
11

Estimate graphically the local maximum and local minimum of f(x) = 4x2 + 3x + 2

Mathematics
2 answers:
Juliette [100K]3 years ago
6 0
Hope this helps you. If you need any help regarding how to sketch graph, ping me

jarptica [38.1K]3 years ago
4 0
Seeing the graph from desmos.com, we know there is only one place where the graph will go up then down, or down then up given that the maximum exponent of x is it squared. That place, as seen, is -0.375 for the minimum as it goes down then up. There's no maximum in sight :(

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Which of the equations below could be the equation of this parabola?
Mademuasel [1]

Answer:

Option B: y = -\frac{1}{2} x^2

Step-by-step explanation:

The parabola has its concavity downwards, so we need a function in the model:

y = ax^2 + bx + c

With a negative value of 'a'

The vertex is (0,0), so we have that:

0 = 0a + 0b + c

c = 0

The x-coordinate of the vertex is given by the equation:

x\_vertex = -b/2a

-b/2a = 0

b = 0

So we have a function in the model:

y = ax^2

With a < 0

The only option with this format is B:

y = -\frac{1}{2} x^2

7 0
3 years ago
Write x2 - 8x + 13 = 0 in the form (x - a)2 = b, where a and b are integers. a.)(x - 4)2 = 3 b.) (x - 3)2 = 2 c.)(x - 2)2 = 1 d.
loris [4]
The answer is <span>a.)(x - 4)2 = 3.

(x - a)</span>² = b can be expressed as:
x² - 2ax + a² = b                                 ⇒ x² - 2ax + a² - b = 0

Our equation is                x² - 8x + 13 = 0.
The general formula is    x² - 2ax + (a² - b) = 0

Thus:
8x = 2ax    and a² - b = 13

Divide both sides of the first equation (8x = 2ax) by x:
8 = 2a           ⇒ a = 8 ÷ 2 = 4

Replace a in the second equation (a² - b = 13):
4² - b = 13     ⇒ b = 4² - 13 = 16 - 13 = 3

Now when we have a and b, let's just replace them in the general equation:
(x - a)² = b
(x - 4)² = 3
4 0
3 years ago
In measuring the center of the data from a skewed distribution, the median would be preferred over the mean for most purposes be
icang [17]
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5 0
3 years ago
Sarah bought 3 1/2 pints of blueberries to make jelly. She ate 3/4 of a pint of berries on her way home. How many pints of berri
AnnyKZ [126]

Answer:

11/4 or 2.75 pints

Step-by-step explanation:

We want to find the difference between the original amount of blueberries and the amount she ate

original amount-amount ate

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To subtract, we need common denominators

The common denominator of 2 and 4 is 4

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Multiply by 2/2 to get a common denominator of 4

7/2*2/2=14/4

Now, we have common denominators and can subtract

14/4-3/4

Subtract the numerators, and leave the denominators as 4

11/4 =2.75

She has 11/4 or 2.75 pints left

8 0
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lana [24]

Answer:

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Step-by-step explanation:

7 0
3 years ago
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