If you would like to simplify <span>(-2)-3 -8 - 8 and 6x - 2, you can do this using the following steps:
</span><span>(-2)-3 -8 - 8 = - 2 - 3 - 8 - 8 = - 5 - 8 - 8 = - 13 - 8 = - 21
6x - 2 = 2 * (3x - 1)
The correct result would be - 21 and </span><span>2 * (3x - 1).</span>
Answer:
9 people
Step-by-step explanation:
Start by writing an equation.
The total bill is 134.03. The bill is totally paid by Marcus and the other guests. This will go on the other side of the equation.
Since we don't know how many guests there were, we can use variable x to represent the value that we're trying to find.
So here is our equation.
134.04 = 20.45 + 12.62x
Now, just solve for x, or isolate x.
Subtract 20.45 from both sides.
134.04 - 20.45 = 12.62x
Divide both sides by 12.62.
113.59/12.62 = x
Simplify.
x = 9
Since x is 9, we know that there were 9 other people at the dinner party.
Let's represent the two numbers by x and y. Then xy=60. The smaller number here is x=y-7.
Then (y-7)y=60, or y^2 - 7y - 60 = 0. Use the quadratic formula to (1) determine whether y has real values and (2) to determine those values if they are real:
discriminant = b^2 - 4ac; here the discriminant is (-7)^2 - 4(1)(-60) = 191. Because the discriminant is positive, this equation has two real, unequal roots, which are
-(-7) + sqrt(191)
y = -------------------------
-2(1)
and
-(-7) - sqrt(191)
y = ------------------------- = 3.41 (approximately)
-2(1)
Unfortunately, this doesn't make sense, since the LCM of two numbers is generally an integer.
Try thinking this way: If the LCM is 60, then xy = 60. What would happen if x=5 and y=12? Is xy = 60? Yes. Is 5 seven less than 12? Yes.
Answer:
Step-by-step explanation: An antique collectible has a value of $235 right now. It will increase in value by 9% each year. Find the value the collectible after 16 years, A.$2115 B. $1017 C.$856 D.933
Answer:
x = -3, y=2
Step-by-step explanation:
x+3y =3
3y -2x =12
Solve the first equation for x
x = 3-3y
Substitute this into the second equation
3y -2(3-3y) =12
Distribute
3y -6 +6y =12
Combine like terms
9y -6 =12
Add 6 to each side
9y-6+6 =12+6
9y =18
Divide each side by 9
9y/9 =18/9
y = 2
Now find x
x = 3 -3y
x = 3-3(2)
x = 3-6
x = -3
