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Natalija [7]
3 years ago
15

Solve the equation

TexFormula1" title="16 {}^{2x - 3} = 8 {}^{4x} " alt="16 {}^{2x - 3} = 8 {}^{4x} " align="absmiddle" class="latex-formula">
​

Mathematics
1 answer:
kompoz [17]3 years ago
3 0

Answer:

<h2>n = -3</h2>

Step-by-step explanation:

16=2^4\\\\8=2^3\\\\16^{2n-3}=8^{4n}\\\\(2^4)^{2n-3}=(2^3)^{4n}\qquad\txt{use}\ (a^n)^m=a^{nm}\\\\2^{(4)(2n-3)}=2^{(3)(4n)}\iff4(2n-3)=12n\qquad\text{use the distributive property}\\\\(4)(2n)+(4)(-3)=12n\\\\8n-12=12n\qquad\text{subtract}\ 8n\ \text{from both sides}\\\\-12=4n\qquad\text{divide both sides by 4}\\\\\dfrac{-12}{4}=\dfrac{4n}{4}\\\\-3=n\to n=-3

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. Out of 40 pupils only 30 pupils submitted their project on time
Verizon [17]

Answer:

75 %

Step-by-step explanation:

To solve for the above question,

The percentage of pupils that submitted their project on time

= Number of pupils that submitted their project on time/Number of pupils × 100

Number of pupils that submitted their project on time = 30 pupils

Number of pupils = 40 pupils

= 30/40 × 100

= 75 %

The percent of the pupils that submitted their project on time is 75%

3 0
3 years ago
PLEASE HELP ASAP
vovikov84 [41]

Answer:

Third option

Step-by-step explanation:

x^{2}-10x+25=0 is the correct answer. 100% sure

7 0
3 years ago
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If your scale factor is 3/4, how will the scaled copy compare to the original?
Kisachek [45]
A scaled copy with the scale factor being 3/4 it would be smaller because it’s less than one so whenever there is a fraction that’s less than one then the shape would be smaller aswell
3 0
3 years ago
URGENT!!! Please help!
serious [3.7K]

Answer:

13 ft

Step-by-step explanation:

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3 0
3 years ago
A line has a slope of -2 and a Y intercept of -3. Graph the line using the slope and y-intercept. Which of the following points
nikdorinn [45]
<h2>Greetings!</h2>

Answer:

(1.5 , 0) , (-6 , 9) , (3 , -9)

Step-by-step explanation:

First, you need to find the equation of the line, which is:

y = mx + c

Where m is the gradient (or slope) and c is the y-intercept. Simply replace these values with the one given to you:

y = -2x -3

Now, simply draw this line by finding two points,

x = 0

y = -2(0) - 3

y = -3 when x = 0

When x = 3

y = -2(3) - 3

y = -9 when x = 3

Now you can use these points to plot the graph. (attacthed a screenshot of it)

Now simply find which given co-ordinates fit on the line. The points on the line are:

(1.5 , 0) , (-6 , 9) , (3 , -9)


<h2>Hope this helps!</h2>

3 0
3 years ago
Read 2 more answers
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