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nordsb [41]
3 years ago
10

Compute f '(x) algebraically for the given value of

Mathematics
1 answer:
Vlad [161]3 years ago
3 0

f'(x) = - 6

hence f'(1) = - 6

f'(x) = - 6 for all real values of a

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I need help with 89 divided by 6 in remainder
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Solve this system of equations using substitution. Put your answer in ordered pair form, (x, y). x = y + 6 y = -2 - x
kenny6666 [7]
X=(-2-x)+6
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4 0
3 years ago
The height of a building is
eduard

Answer:

10 feet

Step-by-step explanation:

This is a problem of scale

where scale is

actual height of any object/ height of that object on drawing

given

actual height = 24 feet

this is represented 1/2 inch on drawing

thus

scale = actual height/ height on drawing = 24 feet/1/2 inch = 24*2 feet/ 1 inch

scale = 48 feet / 1 inch

given actual  height of a building = 480 feet

let the height on drawing be x inch

thus

48 feet / 1 inch = 480 feet/ x inch

=> x inch/ 1 inch = 480 feet / 48 feet

=> x = 10 feet

Thus,  the  height of  building on the drawing is 10 feet

6 0
2 years ago
Charlene is a video game designer and wants to make sure that her games can be played on all types of screens. In order for the
natka813 [3]
<h3>Answer:</h3>

C. The playable area has a width of 9 inches and a height of 6 inches.

<h3>Explanation:</h3>

There are a number of ways you can get there.

1. Check the answers to see which have the right area and aspect ratio.

  • A: area = 24 in² — does not match 54 in²
  • B: area = 54 in², aspect ratio 6:9 = 2:3 — does not match 3:2 aspect ratio
  • C: area = 54 in², aspect ratio 9:6 = 3:2 — <em>matches problem statement</em>
  • D: area = 121.5 in² — does not match 54 in²

2. If the screen were 3:2 (inches), its area would be 6 in². The area of 54 in² is 9 times that value, so the actual screen dimensions are √9 = 3 times 3:2. That is, they are width:height = 9:6 inches — matches selection C.

3. You can write equations for width and height and solve.

  • w/h = 3/2
  • wh = 54

Substituting w=3/2·h into the second equation gives

... (3/2)h·h = 54

... h² = 36 . . . . . multiply by 2/3

... h = √36 = 6 . . . . square root, result in inches . . . . matches selection C

3 0
3 years ago
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