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LekaFEV [45]
2 years ago
9

Determine whether F(x)=4x^2-16x+6 has a maximum or a minimum value and find that value

Mathematics
1 answer:
Reil [10]2 years ago
5 0

Answer:

f(x) has a minimum value of -10.

Step-by-step explanation:

It will have a minimum value because the coefficient of x^2 is positive.

To find its value we convert to vertex form:

f(x) = 4x^2 - 16x + 6

     = 4(x^2 - 4x) + 6

      = 4[(x - 2)^2 - 4] + 6

      = 4(x - 2)^2 - 16 + 6

      = 4(x - 2)^2 - 10.

So the minimum value is -10.

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Step-by-step explanation:

please check and rewrite ur question

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3 years ago
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a scientist has 350 mg of radioactive material. the material is cut in half every 2 hours. how much will be left after 10 hours?
marin [14]
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3 years ago
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Consider the following polynomial functions.<br> f(a) = (2a - 7 + a?) and g(a) = (5 – a).
mote1985 [20]

Answer:

1 false

2 true

3 true

4 false

5 true

Step-by-step explanation:

f(a) = (2a - 7 + a^2) and g(a) = (5 – a).

1 false f(a) is a second degree polynomial and g(a) is a first degree polynomial

When added together, they will be a second degree polynomial

2. true  When we add and subtract polynomials, we still get a polynomial, so it is closed under addition and subtraction

3.  true  f(a) + g(a) = (2a - 7 + a^2) + (5 – a)

Combining like terms = a^2 +a -2

4.  false   f(a) - g(a) = (2a - 7 + a^2) - (5 – a)

Distributing the minus sign (2a - 7 + a^2) - 5 + a

Combining like terms  a^2 +3a -12

5.  true  f(a)* g(a)  = (2a - 7 + a^2)  (5 – a).

Distribute

                       (2a - 7 + a^2)  (5)  – (2a - 7 + a^2)  (a)

                        10a -35a +5a^2 -2a^2 -7a +a^3

Combining like term

-a^3 + 3 a^2 + 17 a - 35

4 0
3 years ago
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(Giving brainliest and 20 points)
MariettaO [177]

Answer:

B

Step-by-step explanation:

40+88+15=128+15=143

There are three rectangles that compose this shape. The first one has side lengths of 5 & 8 (l times w=a 5 times 8=40, area of the rectangle is 40). The second one has side lengths of 8&11 (8 times 11=88, area is 88). Final rectangles has side lengths of 16-(8+5) and 5 (16-13=3, 3 times 5=15, Area=15). All three of those rectangles added up is 143 as an area of the figure.

5 0
2 years ago
Simplify the expression 112+218
otez555 [7]

Answer:

330

Step-by-step explanation:

    1

  112

+218

____

  330

6 0
3 years ago
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