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Alja [10]
3 years ago
9

A table of values of a linear function is shown below. Find the output when the input is n

Mathematics
1 answer:
lesya692 [45]3 years ago
5 0

y = 6 - n

Step-by-step explanation:

Step 1 :

Given ,

input: 1, 2, 3, 4 ,5  Output: 5, 4, 3, 2, 1

Let y = m x + c be the linear function

Step 2 :

When we take the input as 1, the output is 5, and when input is 2 the output is 4

so we have x,y as (1,5) and (2,4)

Hence substituting this in the linear function we get,

5 = m (1) + c  and 4 = m (2) + c

=> m + c = 5 and 2 m + c = 4

Step 3 :

Solving for m and c with these 2 equations , we have

m = -1 and c = 6

so we have the equation as y= (-1) x + 6

When the input is n, x = n

so output is y = (-1) n + 6

                   y = 6 - n

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If h(x)=(fog)(x) and h(x) = sqrt x+5, find g(x) if f(x) = sqrtx+2
Katen [24]

Answer: The value of g(x) is x+3.

Step-by-step explanation:

Since we have given that

h(x)=f\circ g(x)

Here,

h(x)=\sqrt{x+5}\\\\and\\\\f(x)=\sqrt{x+2}

We need to find the value of g(x):

f(x)=\sqrt{x+2}\\\\f(g(x))=\sqrt{g(x)+2}\\\\h(x)=\sqrt{g(x)+2}\\\\\sqrt{x+5}=\sqrt{g(x)+2}\\\\x+5=g(x)+2\\\\g(x)=x+5-2=x+3

Hence, the value of g(x) is x+3.

3 0
3 years ago
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Shkiper50 [21]

Answer:

y=3/2x+5

The slope is 3/2 and the y-intercept is 5

Step-by-step explanation:

Solving for y will give us the slope and y-intercept

Isolate y

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The slope is 3/2 and the y-intercept is 5

Graph it by graphing (0,5) and using the slope (up 3 over 2) to put other points

7 0
3 years ago
(5a+2)(a+4)=<br> this is supposed to be a polynomial in standard form
Shkiper50 [21]

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Step-by-step explanation:

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=5a²+20a+2a+8

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7 0
2 years ago
What is f(-3) if f(x) =|2x-1|-5
dangina [55]
F(x) = |2x-1|-5

f(x) = |2*(x)-1|-5

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f(-3) = 7-5

f(-3) = 2 which is the final answer

Side Note: the vertical bars mean "absolute value" which represents distance. Negative distance makes no sense which is why absolute value results are never negative.

6 0
3 years ago
Read 2 more answers
Helpppp asap please!!!!
OLga [1]

Answer:

   Angle at x is 75°

Step-by-step explanation:

Data :

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Mark brainliest if you understand

3 0
2 years ago
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