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Gemiola [76]
3 years ago
13

Which of the following options represents the graph of the function shown below?

Mathematics
2 answers:
grigory [225]3 years ago
4 0
I think the answer is B but not sure about "11" in A
Nina [5.8K]3 years ago
3 0
<h2>Answer:</h2>

The function that best represents the graph of the function which is given is:

               f(x)=(x-3)^2+1

<h2>Step-by-step explanation:</h2>

From the graph that is provided to us we observe that the graph passes through the point (3,1).

Hence, we will check which of the following function satisfies this point.

a)

f(x)=(x-3)^3-1

when x=3 we see that:

f(x)=(3-3)^3-1\\\\i.e.\\\\f(x)=-1\neq 1

Hence, option: a is incorrect.

c)

f(x)=(x+3)^3-1

when x=3 we have:

f(3)=(3+3)^3-1\\\\i.e.\\\\f(3)=9^3-1\\\\i.e.\\\\f(3)=729-1\\\\f(3)=728\neq 1

Hence, option: c is incorrect.

d)

f(x)=(x+3)^3+1

when x=3 we have:

f(3)=(3+3)^3+1\\\\i.e.\\\\f(3)=9^3+1\\\\i.e.\\\\f(3)=729+1\\\\f(3)=730\neq 1

Hence, option: d is incorrect.

Now we are left with option: b)

i.e.

b)

f(x)=(x-3)^2+1

Also, when x=3 we have:

f(3)=(3-3)^2+1\\\\f(3)=0+1\\\\f(3)=1

Hence, it passes through the point (3,1)

Also, when we will plot this function we observe that it matches the given graph.

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Answer:

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Answer:

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6 0
2 years ago
Read 2 more answers
1. Mark and Bill have a combined weight of 170
qwelly [4]
<h3>Equation : x + y = 170 and y = 2x - 40</h3><h3>The weight of Bill is 70 pounds and weight of mark is 100 pounds</h3>

<em><u>Solution:</u></em>

Let the weight of Bill be "x"

Let the weight of mark be "y"

Given that,

Mark and Bill have a combined weight of 170  pounds

Therefore,

x + y = 170 ------- eqn 1

Mark weighs 40 pounds less than twice Bill's  weight

y = 2x - 40 ------- eqn 2

<em><u>Substitute eqn 2 in eqn 1</u></em>

x + 2x - 40 = 170

3x = 170 + 40

3x = 210

x = 70

<em><u>Substitute x = 70 in eqn 2</u></em>

y = 2(70) - 40

y = 140 - 40

y = 100

Thus weight of Bill is 70 pounds and weight of mark is 100 pounds

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3 years ago
NEED HELP ASAP WITH THIS QUESTION
Elis [28]

Answer:

ITS c

Step-by-step explanation:

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3 years ago
The sum of thrice a number and 5 is 17.
Gnoma [55]

Answer:

The number is 4

Step-by-step explanation:

17 - 5 = 12

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5 0
3 years ago
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