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dimulka [17.4K]
3 years ago
11

which inequality represents all values of x for which the quotient below is defined?√8x^2 divided by √2x

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
5 0

Answer:

The function is defined when x > 0

Step-by-step explanation:

Functions with radicals are only undefined when the value in the radical is negative, because the root of a negative number is imaginary.  

We know the function is undefined when the denominator is equal to zero.  \sqrt{2x} is equal to zero when x=0.

We also know that functions with radicals are undefined when the value in the radicals are negative, because the root of a negative number is imaginary.  .  8x^{2} will always be positive, but 2x is negative when x < 0.

So the function is undefined when x = 0, and when x < 0.

Therefore it is defined when x > 0

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dee’s age is twice Max’s age plus two more.Write an expression to represent Dee’s age.Then evaluate the expression when Max is 7
Mandarinka [93]

D=2x+2

X=7

Plug in the value for Max's age.

D=2(7)+2

D=14+2

D=16

Max is 7

Dee is 16

5 0
3 years ago
Read 2 more answers
Lily is a botanist who works for a garden that many tourists visit. The function f(s) = 2s + 30 represents the number of flowers
Vesnalui [34]

Answer:

  A. b(w) = 80w +30

  B. input: weeks; output: flowers that bloomed

  C. 2830

Step-by-step explanation:

<h3>Part A:</h3>

For f(s) = 2s +30, and s(w) = 40w, the composite function f(s(w)) is ...

  b(w) = f(s(w)) = 2(40w) +30

  b(w) = 80w +30 . . . . . . blooms over w weeks

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<h3>Part B:</h3>

The input units of f(s) are <em>seeds</em>. The output units are <em>flowers</em>.

The input units of s(w) are <em>weeks</em>. The output units are <em>seeds</em>.

Then the function b(w) above has input units of <em>weeks</em>, and output units of <em>flowers</em> (blooms).

__

<h3>Part C:</h3>

For 35 weeks, the number of flowers that bloomed is ...

  b(35) = 80(35) +30 = 2830 . . . . flowers bloomed over 35 weeks

7 0
2 years ago
Determine the solution set for the inequality statement? + 4 &lt; 9 y &gt; -10 y &lt; -10 y &gt; - 5/2 y &lt; - 5/2
Igoryamba

Answer:

Sorry im not sure on this one...

Step-by-step explanation:

4 0
3 years ago
How do I solve this equation?
Gnom [1K]

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We effectively rewrite the equation as

\dfrac{5x-12}{(4-x)^{1/2}}=0

In order for the LHS to be defined, we need to restrict 4-x>0, or x. Now, the LHS will vanish when the numerator is 0, which happens for

5x-12=0\implies5x=12\implies x=\dfrac{12}5

This value is indeed smaller than 4, so the solution is x=\dfrac{12}5.

8 0
3 years ago
What is 7×7×7-10×10÷4
Stels [109]
= 318
And the calculator can help you on problems like this 

Hope That Helped =D
8 0
3 years ago
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