5x + y = 31 <em>subtract 5x from both sides</em>
<h3>y = -5x + 31</h3>
Answer:
x= -2 & x = 6
Step-by-step explanation:
To find undefined points, you need to know when the bottom of the fraction is equal to 0, because you can't divide by 0! (The numerator is irrelevant.) In order to do this, you can factor the denominator of x^2 - 4x - 12. What factors of -12 add up to -4? That would be -6 and 2, so you can factor it out to (x-6)(x+2). Because the coefficient of x in both of these cases is 1, you can take the shortcut of just taking the opposite sign of the two numbers being added to x in these factors, giving you 6 and -2 for your undefined values.
Let me know if you need a more thorough explanation, as I sort of skipped through some wordy things there to give a more concise answer.
Let the number of half dollars be x,
number of quarters = x + 2
amount of half dollars = 0.5x
amount of quarters = 0.25(x + 2)
= 0.25x + 0.5
total amount = 0.5x + 0.25x + 0.5
= 0.75x + 0.5
0.75x + 0.5 = 11.75
0.75x = 11.25
x = 15
number of quarters = x + 2
= 15 + 2
= 17
There are 17 quarters and 15 half dollars.
<span>-10
-(100) ^1/2
</span><span>100 ^1/2 </span>
The volume of a cube is Side ^3
Find the cubic root of the volume to find the side length:
Side = cubicroot(216) = 6 feet.
The area of a face of a cube is s^2
Area of a face = 6^2 = 36 square feet.
Area of 2 faces = 36 x 2 = 72 square feet
Answer: 72 square feet
