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kondaur [170]
3 years ago
11

What is the domain of y=log(x+2)

Mathematics
1 answer:
Andru [333]3 years ago
8 0

Answer:

\huge\boxed{x>-2\to x\in(-2;\ \infty)}

Step-by-step explanation:

y=\log(x+2)\\\\\bold{Domain:}\\\\x+2>0\qquad|\text{subtract 2 from both sides}\\\\x+2-2>0-2\\\\x>-2

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Anyone? Know how to do this?
ki77a [65]

Answer:

  • x = 4
  • length = 19 ft
  • width = 11 ft

Step-by-step explanation:

The area is given by the product of length and width.

  A = LW

  209 = (4x +3)(4x -5)

  209 = 16x^2 -8x -15

  224 = 16x^2 -8x

You could rearrange and use the quadratic formula at this point, but we elect to "complete the square".

  14 = x^2 -(1/2)x

  14 +1/16 = x^2 -1/2x +(1/4)^2 . . . . . add the square of half the x-coefficient

  (x -0.25)^2 = 14.0625

  x = 0.25 ± 3.75 . . . . . . take the square root; add 0.25

Only positive values of x are useful here, so we have

  x = 4

Then the dimensions are ...

  length = 4x +3 = 4(4) +3 = 19 . . . feet

  width = 4x -5 = 16 -5 = 11 . . . feet

5 0
3 years ago
Simplify 9-[3+2•3] if anyone could help me with this question
Butoxors [25]

do what is in the parenthesis first and you multiply first. 3x2 is 6. 6+3 is 9. 9-9 = 0

I think the answer is 0


3 0
3 years ago
In a trapezoid, the lower base is 15 cm, the upper base is 7 cm, and each of the two legs is 10 cm. How far must each of the leg
lora16 [44]

Answer:

15 feet apart

Step-by-step explanation:

brainliest?

4 0
3 years ago
Solve the system of equations by the addition method <br> { 5x-y=-3<br> { 4x+3y=-48
Svetach [21]

Answer:

(-3,-12)

Step-by-step explanation:

Multiply the first equation by three to match the second equations y-term

  • 3(5x-y=-3)
  • 4x+3y=-48

  • 15x-3y=-9
  • 4x+3y=-48

The y-terms cancel out

  • 15x=-9
  • 4x=-48

Add the x-terms with each other and the terms after the equal sign as well

  • 19x=-57

Divide -57 by 19

  • x=-3

Input your x-term (-3) into one of the two first equations and multiply

Either:

  • 5(-3)-y=-3 or
  • 4(-3)+3y=-48

  • -15-y=-3 or
  • -12+3y=-48

Simplify your terms

  • -y=12
  • 3y=-36

Divide

  • y=-12
  • y=-12
4 0
3 years ago
What is the result of 4/ 1/2
Gemiola [76]

\bf \cfrac{~~4~~}{\frac{1}{2}}\implies \cfrac{~~\frac{4}{1}~~}{\frac{1}{2}}\implies \cfrac{4}{1}\cdot \cfrac{2}{1}\implies 8

7 0
4 years ago
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