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zalisa [80]
3 years ago
5

consider the function f(x)=5(x+2)^(2)-3 which of the following function shifts the gragh of (x) upward by 4 units

Mathematics
1 answer:
ivolga24 [154]3 years ago
8 0

Answer:

g(x)=5(x+2)^2+1

Step-by-step explanation:

The given function is f(x)=5(x+2)^2-3.

Let the new function be g(x).

Then g(x) is obtained by shifting f(x) up by 4 units.

This implies that: g(x)=f(x)+4

g(x)=5(x+2)^2-3+4

g(x)=5(x+2)^2+1

Hence the new function is  g(x)=5(x+2)^2+1

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PLSS ANSWER MY QUESTION
Taya2010 [7]

Answer:

1) Area of frame: 140cm^2 ; Area of picture: 40cm^2 ; Total Area: 180cm^2.      

2) Area 1 =  48cm^2 ; Area 2 = 12cm^2 ; total area = 60cm^2 [first answer line : 60cm^2]

Step-by-step explanation:

1. So to answer this question, you have to find the inner photo area first (which you will then subtract from the overall rectangle area to get the photo frame area).

To find area, you multiply length x width. For this question, there are not enough measurements given to initially multiply length and width. So, assuming that the photo is centered on the frame and the frame width is consistent along all sides, you find the difference between the overall length (12) and the picture length (5).

12 - 5 = 7

The leftover area (outside of the picture) is 7 cm (half of seven on both sides), so one side can be assumed to be : 3.5 cm

this means that 15 cm - 3.5 cm of both sides lengths (difference between the two lengths given) is the height of the photo, 15 - 3.5(2) = 8

So, the dimensions/measurements of the photo are 5 cm by 8 cm.

This means that the inner photo area is 40 (5 x 8) cm

The area of the frame will be the area of the total rectangle [12 x 15] - the inner photo area [40].  [ (12)(15) - 40 ]

[180 - 40] = 140 cm

(area is measured in squared units, so the area of the frame should be written as 140cm^{2} ; and the area of the photo should be written as 40cm^{2})

The total area is the entire area of the rectangle: (12)(15) = 180. (This should be written as 180cm^2)

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

2) Finding the area of a shape that isn't a simple rectangle is easier if you separate the shape into smaller rectangles. I will separate the two rectangles into 4 x 12 and 2 x 6 [6 cm would be the remaining side length if you remove the length of 4].

{you can separate the shape in multiple ways, so my answer is only one answer to this problem out of other splits.}

as mentioned, the area is length x width.

4 x 12 = 48.

2 x 6 = 12. Once again, you should write area in squared units.

(the area 1 should be written as 48cm^{2} ; the area 2 should be written as 12cm^2)

you can combine the separated areas (add them) to find the total area. 48 + 12 = 60.

(the total area should be written in squared units also, so the total area should be written as: 60cm^2)

The area of the figure is 60cm^2

8 0
2 years ago
How many minutes will it take each of them to arrive at the scene?
elixir [45]

Step-by-step explanation:

If you were to expand your research to include other genres, you'd find that most scenes in most movies are no more than three minutes long, which means no more than three pages of script. It's not an iron-clad rule; scenes can be twenty minutes long. But it's a very useful rule of thumb.

8 0
3 years ago
Explain the steps you would take to find the area of the following composite shape. (Use 3.14 for TT.)
Advocard [28]

Answer:

pi r squared divided by 2 for the half circle then add the area of the box to you number and there is your area

3 0
2 years ago
Solve math question of 2 x +8 < 18
Elena-2011 [213]

Answer:

x < 5

Step-by-step explanation:

2 x +8 < 18

Subtract 8 from each side

2x+8-8 < 18 -8

2x< 10

Divide by 2

2x/2 < 10/2

x < 5

8 0
2 years ago
Solve the inequality for u.<br> 22≤-4u-2<br> Simplify your answer as much as possible.
larisa [96]

Answer:

<u>u ≤ -6</u>

Step-by-step explanation:

Given :

  • 22 ≤ -4u - 2

Add 2 on both sides :

  • 22 + 2 ≤ -4u - 2  + 2
  • -4u ≥ 24

Divide both sides by -4 (remember the sign changes direction when divided by a negative number) :

  • -4u/-4 ≥ 24/-4
  • <u>u ≤ -6</u>
7 0
1 year ago
Read 2 more answers
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