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3 years ago

4.

Mathematics

1 answer:

Murljashka [212]3 years ago

5 0

Answer:

Step-by-step explanation:

Because I divided by one is one

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If f(x)=2^x find x if f(x)= 1/4

Sergeeva-Olga [200]

$\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ f(x)=2^x~\hspace{7em} \begin{cases} f(x)=\cfrac{1}{4} \end{cases} \qquad \qquad \cfrac{1}{4}=2^x\implies \cfrac{1}{2^2}=2^x \\\\\\ 2^{-2}=2^x\implies \stackrel{\textit{if the bases are the same, the exponents must also be the same}}{-2=x}$

5 0

3 years ago

Translate each of the following English statements into logical expressions. The domain of discourse is the set of all real numb

Scilla [17]

Answer:

A) З x,y : ( x/y < 1, y/x < 1 )

B) ∀ Y : ( Y > 0 = 1/Y > 0 )

C) з x,y : ( x+y = xy )

D) ∀ x,y : [ ( x>0 ) ∧( y > 0 ) = (( x/y > 0 ) ∧ ( y/x > 0 ))

E ) ∀ y : [ ( y > 0 ) ∧ ( y < 1) = ( 1 / y > 1 )

F) <em>n</em> ( ( з x ∀ y ( x <y ) )

G) ∀x (( x ≠ 0 ) = ( зy ( xy = 1 ) ))

H) ∀x ( (x≠0) = ( з! y (xy = 1))

Step-by-step explanation:

since the domain of discourse is a set of all real numbers the logical expressions of the English statements are expressed with respect to real number:

A) З x,y : ( x/y < 1, y/x < 1 )

B) ∀ Y : ( Y > 0 = 1/Y > 0 )

C) з x,y : ( x+y = xy )

D) ∀ x,y : [ ( x>0 ) ∧( y > 0 ) = (( x/y > 0 ) ∧ ( y/x > 0 ))

E ) ∀ y : [ ( y > 0 ) ∧ ( y < 1) = ( 1 / y > 1 )

F) <em>n</em> ( ( з x ∀ y ( x <y ) )

G) ∀x (( x ≠ 0 ) = ( зy ( xy = 1 ) ))

H) ∀x ( (x≠0) = ( з! y (xy = 1))

4 0

3 years ago

Give the domain, range, intercepts, asymptotes, intervals of increasing and decreasing, intervals of positive and negative, symm

klemol [59]

$y = \frac{3}{x^{2} - 4} + 1$

Domain: x² - 4 ≠ 0
+ 4 + 4
x² ≠ 4
√x² ≠ √4
x ≠ ±2
x ≠ -2 and x ≠ 2
(-∞, -2) ∨ (-2, 2) ∨ (2, ∞)

Range: y ≠ 1
(-∞, 1) ∨ (1, ∞)

Intervals: Increasing: (0.25 , ∞)
Decreasing: (-∞, 0.25)

Symmetry: X-axis: Not Symmetric
Y-axis: Not Symmetric
Origin: Not Symmteric

Extrema: Maximum Relative: x = 0
Minimum Relative: Nothing

3 0

3 years ago

Explain how finding 4 x 384 can help you find 4 x 5383

MakcuM [25]

It can because they are equal.

7 0

3 years ago

* Hello I'm giving ALOT of points to the one who can answer this question with an ANSWER & a STEP-BY-STEP EXPLAINATION so th

tangare [24]

Answer:

From the graph and data points, you can observe that Group B has a HIGHER range and has a greater variability. so it's NOT 1. 4. or 3. THEREFORE it's 2.

Explanation:

You start out by finding the mean (finding the sum of the data values and then dividing the sum by the number of data values)

and subtracting the first plot by the last in each graph.

(at least I think)

I've been through this topic. (it was a long time ago since I'm now in highschool so this might be different now as the grading curriculum has changed)

8 0

3 years ago