X=4
Explanation
First subtract 4x^2 + 6x from both sides of the equation
X^2 - 8x + 16 = 0
Then let’s factorice the equation using the middle-term break:
x^2 - 4x - 4x + 16 = 0
x (x - 4) - 4 (x - 4) = 0
(x - 4) (x - 4) = 0
(x - 4) ^2 = 0
x = 0
Therefore the solution to the equation is x = 4
Answer:
LCD = 4 x^2
Step-by-step explanation:
The least common denominator : LCD
(x + 1) / 4x and (3(x + 1)) / 2x^2
factor 4x : 2, 2, x
factor 2x^2 : 2, x, x^2
take highest powers 2^2 and x^2
LCD is 4*x^2
Answer:
a) 5/21
b) 4/21
c) 4/21
d) 8/21
Step-by-step explanation:
total number of coins: 21
a) number if dollars: 5
therefore fraction is 5/21
b) number of quarters: 4
therefore fraction is 4/21
c) number of dimes: 4
therefore fraction is 4/21
d) number of nickels: 8
therefore fraction is 8/21
The quantity reported an <em>equivalent net</em> percentage change of 28 percent.
<h3>How to calculate the net change of a quantity in percentages</h3>
In this problem we must determine the <em>simple</em> percentage change equivalent to two <em>consecutive</em> percentual changes. The formula that describes the situation is:
1 + r/100 = (1 - 60/100) · (1 + 80/100)
1 + r/100 = 72/100
r/100 = - 28/100
r = - 28
The quantity reported an <em>equivalent net</em> percentage change of 28 percent.
<h3>Remark</h3>
The statement is incomplete. Complete form is presented below:
A quantity is changing. At first it descreased by 60 percent and it increased by 80 percent. What is net change of the quantity in percentage?
To learn more on percentages: brainly.com/question/13450942
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<h3>
Answer: </h3><h3>
There are 75 coins that aren't nickels. </h3><h3>
One equation you could use is 75+n = 92</h3>
(This solves to n = 17 meaning there are 17 nickels)
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Explanation:
"There are 25 pennies, 21 dimes, and 29 quarters", so there are 25+21+29 = 75 coins so far. This is the amount of coins that aren't nickels. The rest are nickels, which is some amount n. This adds to the 75 to get 75+n. Set this equal to 92 because there are 92 coins in all. That's how we end up with 75+n = 92.
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Extra info
The equation 75+n = 92 is the same as n+75 = 92. Subtract 75 from both sides to isolate n. You should get n = 17 after doing so.
