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Gnom [1K]
3 years ago
10

What is the value of fraction 1 over 3x3 + 5.4y, when x = 3 and y = 2? 13.8 16.8 19.8 28.8

Mathematics
1 answer:
Bond [772]3 years ago
7 0
The answer is 16.8. Tell me if I'm right
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What is the range of the function f(x) = 3x2 + 6x - 8?
V125BC [204]

Answer:

  {y | y ≥ -11 }

Step-by-step explanation:

To answer a question like this, it is often helpful to graph the function or to rewrite it to vertex form.

  f(x) = 3x^2 +6x -8

  f(x) = 3(x^2 +2x) -8 . . . . factor the leading coefficient from x terms

  f(x) = 3(x^2 +2x +1) -8 -3(1) . . . . complete the square*

  f(x) = 3(x +1)^2 -11

The form of this equation tells you that the graph is a parabola that opens upward. Its vertex is (-1, -11), so the minimum value is -11. The range is the vertical extent of the function values, so goes upward from -11:

  y ≥ -11

_____

* Vertex form is ...

  f(x) = a(x -h)^2 +k

where "a" is the vertical scale factor and (h, k) is the vertex. When "a" is positive, the parabola opens upward; when it is negative, the parabola opens downward.

The square is completed by adding the square of half the x-coefficient inside parentheses, and subtracting the equivalent amount outside parentheses. Here, we had 2x inside parentheses, so we added (2/2)^2 = 1 inside and -3(1) outside, because "a" was 3.

_____

Brainly provides tools for properly rendering math symbols. 2-11 is not the same as ≥-11.

7 0
3 years ago
What fraction is not equivalent to 36/60
Andreyy89
Fractions that aren't equivalent would be 30/60, 34/60 and anything that cannot be the same as 36/60.
3 0
3 years ago
Read 2 more answers
A kitten and a puppy found a sausage which is 14cm long and started eating it simultaneously from each end. The kitten is eating
julsineya [31]

It takes them 12 seconds to eat the whole sausage.

<h3>What is speed?</h3>

Speed is the rate of change of distance.

Analysis:

If kitten eats x cm, then puppy will eat 14 - x cm

speed = d/t

speed of kitten = 1/2

speed of puppy = 2/3

1/2 = x/t

2/3 = 14 - x / t

t = 2x--------1

2t = 3(14 - x ) -------- 2

substitute t in equation 2

2(2x) = 3(14 - x)

4x = 42 - 3x

7x = 42

x = 42/7 = 6cm

substitute value of x in equation 1

t = 2(60 = 12 seconds.

In conclusion, it takes the both animals 12 seconds to finish the sausage.

Learn more about speed: brainly.com/question/4931057

#SPJ1

3 0
1 year ago
What are the coordinates of the midpoint of the line segment with end points J (-6, 3) and K (4, -2)
iVinArrow [24]

Answer:

(-1 , 1.5)

Step-by-step explanation:

7 0
3 years ago
Darrell tracked the number of employees in his company over a six-year period. In the graph, x represents years since 2006 and y
hodyreva [135]

Answer:

60 is answers of your question

8 0
2 years ago
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