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Sholpan [36]
3 years ago
9

Which expression is NOT equivalent to the other three?

Mathematics
1 answer:
Andrew [12]3 years ago
6 0
The answer is C. -6+n+9n
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F(x)=x^3 −9x <br> What is the average rate of change of over the interval [1,6]?
Inga [223]

Answer:

34

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\frac{f(b)-f(a)}{b-a}

Here [ a, b ] = [ 1, 6 ], thus

f(b) = f(6) = 6³ - 9(6) = 216 - 54 = 162

f(a) = f(1) = 1³ - 9(1) = 1 - 9 = - 8

average rate of change = \frac{162-(-8)}{6-1} = \frac{170}{5} = 34

8 0
3 years ago
Solve the system of equations. 6x – 3y = 3 –2x + 6y = 14
Oxana [17]

Answer:

x=2; y=3

Step-by-step explanation:

You first add 3y to both sides. Divide both sides by 6. Then subsitute to get your answer.

6 0
3 years ago
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Find the exact value of tan (arcsin (two fifths)). For full credit, explain your reasoning.
Hitman42 [59]
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\bf sin^{-1}\left( \frac{2}{5} \right)=\theta \impliedby \textit{this simply means that}&#10;\\\\\\&#10;sin(\theta )=\cfrac{2}{5}\cfrac{\leftarrow opposite}{\leftarrow hypotenuse}\qquad \textit{now let's find the adjacent side}&#10;\\\\\\&#10;\textit{using the pythagorean theorem}\\\\&#10;c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a\qquad &#10;\begin{cases}&#10;c=hypotenuse\\&#10;a=adjacent\\&#10;b=opposite\\&#10;\end{cases}

\bf \pm \sqrt{5^2-2^2}=a\implies \pm\sqrt{21}=a&#10;\\\\\\&#10;\textit{we don't know if it's +/-, so we'll assume is the + one}\quad \sqrt{21}=a\\\\&#10;-------------------------------\\\\&#10;tan(\theta)=\cfrac{opposite}{adjacent}\qquad \qquad tan(\theta)=\cfrac{2}{\sqrt{21}}&#10;\\\\\\&#10;\textit{and now, let's rationalize the denominator}&#10;\\\\\\&#10;\cfrac{2}{\sqrt{21}}\cdot \cfrac{\sqrt{21}}{\sqrt{21}}\implies \cfrac{2\sqrt{21}}{(\sqrt{21})^2}\implies \cfrac{2\sqrt{21}}{21}&#10;
7 0
3 years ago
What are the range values of the function f (x ) = 3x + 4 for the domain values {-5, -1, 0, 2, 7}?
Airida [17]

Answer:

Range values are:

{-11, 1, 4, 10, 25}

Step-by-step explanation:

Domain values are the possible x values that can be entered into the function, or the inputs.  Range values are the y values, or the outputs. By inserting every value in the set into the function, we get the outputs (y values)

-15 + 4 = -11

-3+4 = 1

0 + 4 = 4

6 + 4 = 10

21 + 4 = 25

Remember to put them in order.

7 0
3 years ago
PLZ HELP AND IF U TAKE MY POINTS I WILL REPORT U AN WHO EVER HELPS I WIL GIVE BRAINIEST
Sphinxa [80]

Answer:

the second one I can't give a explanation cause my wrist is broken so it's harder to type hope this helps

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3 years ago
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