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Gnom [1K]
3 years ago
14

Simplify each expression using the laws of exponents. No negative exponents should be in your final answer. (On the image attach

ed)
WORK NEEDED!

Mathematics
2 answers:
max2010maxim [7]3 years ago
8 0

Answer:

-3x^-3 y^-7 z^8

Step-by-step explanation:

Cloud [144]3 years ago
5 0

Answer:

<em>Answer</em><em> </em><em>is</em><em> </em><em>given below with explanations</em><em>. </em>

Step-by-step explanation:

by \: simplifying \: the \: given \: expression \: using \:  \\ law \: of \: exponents \: we \: get \\  \frac{15 {x}^{15}  {y}^{ - 3}  {z}^{4} }{18 {x}^{18}  { {y}^{4}  {z}^{ - 4} }^{} }  \\   = \frac{5  \: {x}^{ - 3}  {y}^{ - 7} {z}^{8}  }{6}  \\ we \: may \: also \: write \: as \\  =  \frac{5 {z}^{8} }{6 {x}^{3}  {y}^{7} }

formulae \: used  \ \: : \\  \frac{ {x}^{m} }{ { {x}^{n} }^{} }  =  {x}^{m - n}  \:  \:  \: and \\  {x}^{ - m}  =  \frac{1}{ {x}^{m} }

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

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For all the values of x,<br> f(x)=x²+3 g(x)=2x-1 <br> a) find fg(2) <br> b) find gf(2)
erik [133]

Answer:

12 and 13

Step-by-step explanation:

(a)

To evaluate f(g(2)), evaluate g(2) then use the value obtained to evaluate f(x)

g(2) = 2(2) - 1 = 4 - 1 = 3, then

f(3) = 3² + 3 = 9 + 3 = 12

--------------------------------------------

(b)

To evaluate g(f(2)), evaluate f(2) the use the value obtained to evaluate g(x)

f(2) = 2² + 3 = 4 + 3 = 7, then

g(7) = 2(7) - 1 = 14 - 1 = 13

5 0
3 years ago
Sum of 2x 2 + 3x - 4, 8 - 3x, and -5x 2 + 2.
Salsk061 [2.6K]
 (2x²<span> + 3x - 4) +  (8 - 3x) + (-5x</span>²<span> + 2)

= </span> 2x² + 3x - 4 +  8 - 3x - 5x² + 2

= -3x² + 6

= 3(-x² + 2)
5 0
3 years ago
PLEASE HELP ASAP!!!!!<br><br> Rewrite the expression 20x + 25 as the product of two factors.
GaryK [48]

Answer:

<em>5 (4 x + 5)</em>

That is the answer

5 is a factor if 20 and 25 and 4x + 5 cannot be furthor be simplified.

5 0
3 years ago
Which of the following functions best describes this graph
Musya8 [376]

Answer:

D

Step-by-step explanation:

when x=2,6 then y=0

when y=12 then x=0

only applies for D

3 0
3 years ago
cos theta = 4/5, 0˚&lt; theta &lt; 90˚ use the information given to find sin2theta, cos2theta, and tan 2theta
NikAS [45]
First calculate \sin\theta.

\sin^2\theta+\cos^2\theta=1\\\\\sin^2\theta=1-\cos^2\theta\\\\\sin^2\theta=1-\left(\dfrac{4}{5}\right)^2\\\\\\\sin^2\theta=1-\dfrac{16}{25}\\\\\\\sin^2\theta=\dfrac{9}{25}\quad|\sqrt{(\dots)}\\\\\\\sin\theta=\sqrt{\dfrac{9}{25}}\\\\\\\boxed{\sin\theta=\dfrac{3}{5}}

We take positive value of sinθ because 0° < θ < 90°
Now we could calculate sin2θ, cos2θ and tan2θ:

\sin2\theta=2\sin\theta\cos\theta=2\cdot\dfrac{3}{5}\cdot\dfrac{4}{5}=\dfrac{2\cdot3\cdot4}{5\cdot5}=\dfrac{24}{25}\\\\\\\cos2\theta=\cos^2\theta-\sin^2\theta=\left(\dfrac{4}{5}\right)^2-\left(\dfrac{3}{5}\right)^2=\dfrac{16}{25}-\dfrac{9}{25}=\dfrac{7}{25}\\\\\\&#10;\tan2\theta=\dfrac{\sin2\theta}{\cos2\theta}=\dfrac{\frac{24}{25}}{\frac{7}{25}}=\dfrac{24\cdot25}{7\cdot25}=\dfrac{24}{7}=3\dfrac{3}{7}
5 0
3 years ago
Read 2 more answers
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