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kvv77 [185]
3 years ago
7

If f(5)= 3, write an ordered pair that must be on the graph of y = f(x + 1) + 2

Mathematics
1 answer:
vlabodo [156]3 years ago
8 0

f(5) = 3 means (5,3) is on the graph of f.

On the new graph, y = f(x+1) + 2, what do the +1 and +2 do?

Things inside the function notation inpact the x-values, since that's where x sits.

This outside the f(x) notation impact the y-values, since those are done after you've evaluated the function.

"+1" on the inside shifts every point to the left 1 unit.  (Inside changes are almost always opposite from what it looks like it would do.)

"+2" on the outside will shift every point up by 2 units.

So what do you get if you take (5,3) and shift it left 1 and up 2?

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Answer:

Area of the shaded region= 82.2 cm²

Step-by-step explanation:

Please see attached picture for full solution.

5 0
3 years ago
Look at the picture and tell me which one it is
zloy xaker [14]
You’re correct it’s the second one
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3 years ago
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Please help me! The i is an imaginary number<br><br> (9+4i)^2
beks73 [17]
Answer: 2500

Explanation: I turned the I into a 1 and it turned into a 41 so I added 9+41 which is 50. Then I multiplied 50 by 50 because of the ^2 which gave me 2500. I’m assuming that you can put whatever number as a replacement for the I. I’m sorry if this answer isn’t right.
4 0
2 years ago
Which system of inequalities is represented by the graph?
Tamiku [17]
The blue line...
(1,2),(3,1)
slope = (1 - 2) / (3 - 1) = -1/2
there is a y int at (0,2.5) or (0,5/2)
it is shaded below the line....and it is a solid line
this inequality is :
y = -1/2x + 5/2
1/2x + y = 5/2
x + 2y = 5
x + 2y < = 5.....this is ur inequality


red line...
(0,4), (1,1)
slope = (1 - 4) / (1 - 0) = -3/1 = -3

there is a y int at (0,4)
it is shaded below the line...and it is a solid line
this inequality is :
y = -3x + 4
3x + y = 4
3x + y < = 4 ...this is ur inequality

summary :
ur 2 inequalities are : 
x + 2y < = 5 and 3x + y < = 4


4 0
3 years ago
Write an equation of the circle with center (4,5) and radius 9.
mixer [17]

Answer:

I'm going to write both of these because maybe you have a fill in the blank question. I don't know.

(x-4)^2+(y-5)^2=9^2

Simplify:

(x-4)^2+(y-5)^2=81

Step-by-step explanation:

(x-h)^2+(y-k)^2=r^2 is the equation of a circle with center (h,k) and radius r.

You are given (h,k)=(4,5) because that is the center.

You are given r=9 because it says radius 9.

Let's plug this in.

(x-4)^2+(y-5)^2=9^2

Simplify:

(x-4)^2+(y-5)^2=81

6 0
3 years ago
Read 2 more answers
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