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timofeeve [1]
3 years ago
13

For each diagram, decide if y is an increase or a decrease of x. Then determine the percentage.

Mathematics
1 answer:
eimsori [14]3 years ago
6 0
Answer:
In A: y is a 25% decrease of x
In B: y is a 25% increase of x
Step-by-sep explanation:
For A:
The diagram in A shows that x = 4, while y = 3.
Thus, this means that y decreased by 1, relative to x.
The percentage decease would be:


Therefore, y is a 25% decrease of x.
For B:
The diagram for B shows that x = 4, while y = 5.
Thus, this means that y increased by 1, relative to x.
The percentage increase would be:


Therefore, y is a 25% increase of x.







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Find three consecutive even numbers whose sum is 1884.
Scilla [17]

Answer:

smallest number=626

middle number=628

larger number=630

Step-by-step explanation:

To find the numbers, let's use n as the variable. Since we know that the numbers are consecutive even numbers, we know that they increase by 2. For example, we could have 2+4+6=12.

Knowing that the consecutive numbers increase by two's, we can use this.

smallest number: n

middle number: n+2

larger number: n+4

All we have to do is add these together and set it equal to 1884.

n+(n+2)+(n+4)=1884          [combine like terms]

3n+6=1884                         [subtract both sides by 6]

3n=1878                              [divide both sides by 3]

n=626

Now that we know n=626, we also know that the other numbers are 626, 628, 630 respectively.

5 0
3 years ago
The length of a rectangle is 4 yards less than 2 times the width. If the perimeter is 34 yards, find the length and the width of
tamaranim1 [39]

Answer:

21 yards

Step-by-step explanation:

4 0
2 years ago
Given that f.x 3x-2 over x+1 g[x] x +5 evaluate f[-4] and gf [-2]
Jobisdone [24]

The value of f[ -4 ] and g°f[-2] are \frac{14}{3} and 13 respectively.

<h3>What is the value of f[-4] and g°f[-2]?</h3>

Given the function;

  • f(x) = \frac{3x-2}{x+1}
  • g(x)=x+5
  • f[ -4 ] = ?
  • g°f[ -2 ] = ?

For f[ -4 ], we substitute -4 for every variable x in the function.

f(x) = \frac{3x-2}{x+1}\\\\f(-4) = \frac{3(-4)-2}{(-4)+1}\\\\f(-4) = \frac{-12-2}{-4+1}\\\\f(-4) = \frac{-14}{-3}\\\\f(-4) = \frac{14}{3}

For g°f[-2]

g°f[-2] is expressed as g(f(-2))

g(\frac{3x-2}{x+1}) =  (\frac{3x-2}{x+1}) + 5\\\\g(\frac{3x-2}{x+1}) =  \frac{3x-2}{x+1} + \frac{5(x+1)}{x+1}\\\\g(\frac{3x-2}{x+1}) =  \frac{3x-2+5(x+1)}{x+1}\\\\g(\frac{3x-2}{x+1}) =  \frac{8x+3}{x+1}\\\\We\ substitute \ in \ [-2] \\\\g(\frac{3x-2}{x+1}) =  \frac{8(-2)+3}{(-2)+1}\\\\g(\frac{3x-2}{x+1}) =  \frac{-16+3}{-2+1}\\\\g(\frac{3x-2}{x+1}) =  \frac{-13}{-1}\\\\g(\frac{3x-2}{x+1}) =  13

Therefore, the value of f[ -4 ] and g°f[-2] are \frac{14}{3} and 13 respectively.

Learn more about composite functions here: brainly.com/question/20379727

#SPJ1

6 0
1 year ago
What is the area of this trapezoid?<br> Enter your answer in the box.
Llana [10]

Answer:

The answer is 90

Step-by-step explanation:

4 0
3 years ago
Which of the following sets could be the sides of a right triangle?
Genrish500 [490]

Answer:

None of the above

Step-by-step explanation:

None of the answer choices are even triangles, let alone right triangles. The sum of the two smaller sides isn't larger than the bigger side on any of the triangles, which means that they cannot be closed.

3 0
3 years ago
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