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hichkok12 [17]
3 years ago
9

The graph of a function is shown below. find the following, g(10), g(-3)

Mathematics
1 answer:
Rzqust [24]3 years ago
4 0

Answer:

g(5x)=0

Step-by-step explanation:

Given that g(x)=4

From the graph when x=-2 then g(x)=4

Hence 5x=-10

Now from the graph

g(-10)=0

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Thank you for anyone who knows this
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
Can anyone help me with this one :D
allsm [11]

Answer:

the answers is (10^1)^3 = 1000

4 0
3 years ago
The sum of the digits of a two digit number is 7. If 9 is subtracted from the number, the answer will be the number with the dig
cupoosta [38]
Just work through step by step
Follow each point until you reach one answer
Digits = 7
-9 = reverse

16 - 9 = 7        x
25 - 9 = 16      x
34 - 9 = 25      x
43 - 9 = 34      Y
52 - 9 = 43      x
61 - 9 = 52      x

4 + 3 = 7
43 - 9 = 34 - the digits have been reversed

43
5 0
3 years ago
Read 2 more answers
Someone explain to me what y=mx+b please
antoniya [11.8K]
Y=mx+b is The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
8 0
3 years ago
Read 2 more answers
What is the value of x? Enter your answer in the box. X= ​
pishuonlain [190]

Answer:

Step-by-step explanation:

2x +2 = 3x - 52

-2x -2x

2 = x -52

+52 +52

50 = x

3 0
3 years ago
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