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attashe74 [19]
3 years ago
6

Statements :

Mathematics
1 answer:
3241004551 [841]3 years ago
4 0

Answer:

"e^x is irrational for every nonzero integer x"

Step-by-step explanation:

The original statement is

"e^x is rational for some nonzero integer x."

The negation is technically:

"It is NOT true that e^x is rational for some nonzero integer x."

So it's expressing that it's false that e^x can be rational for some nonzero integer x.

This just means that e^x is always irrational when x is a nonzero integer.

Which can be worded as

"e^x is irrational for every nonzero integer x"

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Solve x in 2|x+ 6| + 9 = 19
xenn [34]
Answer: x=-1

Step by step:

2|x+6|+9=19

Subtract 9 from both sides.

2|x+6|=10

Divide both sides by 2

|x+6|=5

Use the definition of absolute value.

x+6=5

Subtract 6 on both sides

x=-1

Hope this helped! :)
5 0
2 years ago
Read 2 more answers
A company has a cost equation of c=0.925x^2-4x+20 and a profit equation of p=-1.125x^2+6x+40. Solve for the breakeven point.
lana66690 [7]
0.925x^2 - 4x + 20 = -1.125x^2 + 6x + 40 (at break even point)

2.05x^2 - 10x - 20 = 0

x =  [ - (-10) +/- sqrt(100 - 4*2.05*-20) / (2*2.05) 

x =  6.40, -1.52   Ignore the negative 

Answer is  6.40


3 0
3 years ago
The figure is made up of a square and a rectangle. Find the area of the shaded region.
inn [45]

Answer:

10 \:  { \: m}^{2}

Step-by-step explanation:

area of the shaded region = Area of triangle formed in rectangle with base (10 - 6 = 4) 4m and height 2 m + Area of triangle formed in square with base 2 m and height 6 m

=  \frac{1}{2}  \times 4 \times 2 +\frac{1}{2}  \times 2\times 6 \\  \\  = 4+6  \\  \\  = 10 \:  { \: m}^{2}

8 0
3 years ago
Read 2 more answers
Joanna runs at an average speed of 7.5km/h. She runs 15km every day. What time did
yan [13]
Avg. speed Joanna runs: 7.5km/h
how much she runs everyday: 15km

15km/7.5= 2 hours of running time everyday

She leaves at 8:30, comes back at ?
8:30+ 2:00= 10:30

Joanna arrives back at 10:30a.m.
8 0
3 years ago
Read 2 more answers
Compute the values of dy and Δy for the function y=e^(2x)+6x given x=0 and Δx=dx=0.03.
Maksim231197 [3]

Answer:

  • dy = 8·dx
  • Δy = 0.24

Step-by-step explanation:

The derivative of your function is ...

  y' = dy/dx = 2e^(2x) +6

At x=0, the value is ...

  y'(0) = 2e^0 +6 = 8

  dy = 8·dx

__

  Δy = y'(0)·Δx

  Δy = 8(.03)

  Δy = 0.24

6 0
3 years ago
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