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elena55 [62]
3 years ago
5

Select the locations on the number line to plot the points 9/2 and −7/2 .

Mathematics
2 answers:
ludmilkaskok [199]3 years ago
8 0

Answer:

The easiest way to plot the fraction in the number line is to change the fraction into the decimal then plot it, as decimal is easily detected in the number line as compare to the fraction.

The Fraction \frac{9}{2} = 4.5

and value 4.5 lies exact between 4 and 5.

The Fraction \frac{-7}{2} = -3.5

and value 4.5 lies exact between -4 and -3.

It is shown below.

Alex_Xolod [135]3 years ago
3 0

9/2 would be on the right -7/2 will be on the left hope i helped

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katen-ka-za [31]

Answer:  

  • Part (a) Vertex = (-3, -1)
  • Part (b) Vertex = (4, 5)
  • Part (c) function 2; max value = 5

=====================================================

Explanations:

Part (a)

In this case, the vertex is the highest point, so the vertex of function 1 is (-3, -1)

If the parabola was flipped so that it opened upward, instead of downward, then the vertex would be the lowest point.

----------------------------

Part (b)

We could graph this function to see where the highest or lowest point is, but there's another way we could find the vertex using algebra.

The given equation is in the form y = ax^2 + bx + c where in this case

  • a = -2
  • b = 16
  • c = -27

The a and b values are plugged into the formula below to get

h = -b/(2a)

h = -16/(2*(-2))

h = -16/(-4)

h = 4

This is the x coordinate the vertex since the vertex is (h,k)

To find k, we plug that value of h into the original function to find its corresponding y value.

y = -2x^2 + 16x - 27

y = -2(4)^2 + 16(4) - 27

y = -2(16) + 16(4) - 27

y = -32 + 64 - 27

y = 5

We found that h = 4 leads to k = 5. The vertex is (h,k) = (4, 5)

----------------------------

Part (c)

We'll compare the y values of each vertex

  • Function 1 has a vertex of (-3, 1)
  • Function 2 has a vertex of (4, 5)

The vertex with the larger y value is the winner, so that would be function 2. This parabola reaches a higher peak compared to the other curve.

The max value here is y = 5. In other words, it's the maximum output the function can produce.

If you graphed functions 1 and 2 together on the same xy grid (see below), you'll see that the curve for function 2 reaches a higher peak.

7 0
2 years ago
Given the functions f(x)= 1/x−4 +3 and g(x)=1/x+1 +6 .
melomori [17]

ANSWER

The graph shifts 5 units left and 3 units up.

EXPLANATION

The given functions are:

f(x) =  \frac{1}{x - 4}  + 3

and

g(x) =  \frac{1}{x + 1}  + 6

We want to transform f(x) so that, it coincide with the g(x).

The required transformation is

f(x+5)+3

Let us see why this works.

f(x+5)+3 = \frac{1}{x + 5- 4}  + 3 + 3

f(x+5)+3 = \frac{1}{x + 1}  + 6 = g(x)

The transformation f(x+5)+3 will shift f(x) 5 units left and 3 units up.

The third choice is correct.

7 0
3 years ago
Read 2 more answers
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