You have to complete the square to get it into vertex form. Do this by setting the function equal to zero and at the same time moving the constant over to the other side of the equals sign so you have this:
. Now we can complete the square on the polynomial by taking half the linear term, squaring it, and adding it to both sides. Our linear term is 4. Half of 4 is 2, and 2 squared is 4, so we add 4 to both sides:
and simplify to get
. In this process we have created a perfect square binomial on the left, which happens to be
. Now move the -6 back over by addition to get
. The vertex is found at (-2, 6), the third choice down.
Answer:
x = -7
Step-by-step explanation:
Simplifying
5x + 130 = 8x + 151
Reorder the terms:
130 + 5x = 8x + 151
Reorder the terms:
130 + 5x = 151 + 8x
Solving
130 + 5x = 151 + 8x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8x' to each side of the equation.
130 + 5x + -8x = 151 + 8x + -8x
Combine like terms: 5x + -8x = -3x
130 + -3x = 151 + 8x + -8x
Combine like terms: 8x + -8x = 0
130 + -3x = 151 + 0
130 + -3x = 151
Add '-130' to each side of the equation.
130 + -130 + -3x = 151 + -130
Combine like terms: 130 + -130 = 0
0 + -3x = 151 + -130
-3x = 151 + -130
Combine like terms: 151 + -130 = 21
-3x = 21
Divide each side by '-3'.
x = -7
Simplifying
Answer:
Step-by-step explanation:
Using the distance formula: 
substitute
Last one
<span>f(x) = 4x and g(x) = 3x
</span><span> (fog)(x)
</span>you need take value of g(x), 3x, and put 3x instead of x in f(x) function
(fog)(x)=4*(3x)=12x
1 quarter + 1 dime + 1 nickel = 25¢ + 10¢ + 5¢ = 40¢
Each 5<span>¢ buys 15 minutes. How many ' 5</span>¢ ' are in 40<span>¢</span> ?
40/5 = 8 of them. So the (quarter+dime+nickel) can buy 8 x 15 minutes = 2 hours.
Starting at 9:00 AM, the meter had 5 minutes left on it, and Marsha bought
another 2 hours. So now the meter is good until 2 hours and 5 minutes
after 9:00 AM . . . . . 11:05 AM.
