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slava [35]
3 years ago
10

What is the domain of Y = log2X?

Mathematics
1 answer:
pashok25 [27]3 years ago
7 0

Answer:

All real numbers greater than 0

Step-by-step explanation:

When you look at   y = log (2)  x

Base 2,   exponent y.

x =  2^y

x  can only be a positive number.

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Find the holes<br> <img src="https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7Bx%2B3%7D%7B%28x%2B1%29%28x-2%29%7D" id="TexFormula1" t
olga55 [171]

Answer:

<h2>           x=-1 and x=2</h2>

Step-by-step explanation:

The "holes" are the x-es where function doesn't exist.

one must not divide by 0, so given function doesn't exis if the denominator is equal 0

The product {(x+1)×(x-2)} is equal 0 if any of factors  {(x+1),(x-2)} is 0, so

x + 1 = 0    or    x - 2 = 0

x = - 1      or    x = 2

8 0
3 years ago
Tell me how many squares to shade in for each fraction and the answer in 60ths. thx!!
DENIUS [597]
8/12 simplified to 2/3
7 0
3 years ago
Find the absolute maximum and minimum values of f(x,y)=xy−4x in the region bounded by the x-axis and the parabola y=16−x2.
skad [1K]

Answer:

The absolute maximum and minimum is 20\; \text{and} -20.

Step-by-step explanation:

We first check the critical points on the interior of the domain using the

first derivative test.

f_x=y-4=0

f_y=x=0

The only solution to this system of equations is the point (0, 4), which lies in the domain.

f_{xx}=0, \;f_{yy}=0\; \text{and}\; f_{xy}=-1

\Rightarrow f_{xx}f_{yy}-f_{xy}=o-1=-1

\therefore (0,4) is a saddle point.

Boundary points -  (4,0),  (-4,0), (0,16)

Along boundary  y=16-x^2

   f=x(16-x^2)-4x

=16x-x^3-4x

\Rightarrow f^'=16-3x^2-4=0

\Rightarrow 3x^2=12

\Rightarrow x=\pm2,\;\;y=14

Values of f(x) at these points.

\begin{array}{}(4,0)=-16\\(-4,0)=16\\(0,16)=0\\(2,14)=20\\(-2,14)=-20\end{array}

Therefore, the absolute maximum and minimum is 20\; \text{and} -20.

6 0
3 years ago
How do you find the x i need help really fast
kvasek [131]
I think that answer would be C
5 0
3 years ago
Leyan bought 234 pounds of apples for $1.32 per pound, 112 pounds of peaches for $1.20 per pound, and some tomatoes, all from a
velikii [3]

Answer: See explanation

Step-by-step explanation:

I think your question isn't well written and that 234 was meant to be 2.34 and 112 was meant to be 1.12

Let the amount spent on tomatoes be x.

The information given in the question can then be used to form an equation as thus:

Apples + Peaches + Tomatoes = $9.63

(2.34 × $1.32) + (1.12 × $1.20) + x = $9.63

$3.0888 + $1.344 + x = $9.63

x = $9.63 - ($3.0888 + $1.344)

x = $9.63 - $4.4328

x = $5.1972

The amount spent on tomatoes will be $5.1972

8 0
3 years ago
Read 2 more answers
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