Answer:
+ 25
Step-by-step explanation:
To complete the square
add ( half the coefficient of the x- term )²
the coefficient of the x- term is 5 and 5² = 25, hence
x² + 10x + 25 = (x + 5)² ← perfect square
Answer:
Each hotdog costs $1.65
Each juice drink costs $1.05
Step-by-step explanation:
Let's begin by letting 
represent the number of hot dogs and 
the number of juice drinks.
The Baxter family bought 6 hot dogs and 4 juices for $14.10.
The Farley family bought 3 hot dogs and 4 juices for $9.15.
Now, we subtract these equations.
Since has reversed coefficients, it gets eliminated. Now solve for x.
NOW, we find y by substituting x with 1.65 (in either equation).
We'll use the first equation.
= 1.65
= 1.05
represents hotdogs and represents juice drinks.
Therefore, each hotdog costs $1.65 and each juice drink costs $1.05.
<em> I hope this helps! :)</em>
33/84 in simplest form is 11/28 because you can divide top and bottom by three. Just show that you divided both numbers by three and then you will get 11/28.
Answer:
1) 3x² - 15x + 18
2) y-intercept: 18
Zeros: 2 and 3
3) 12x ; (x - 6)²
4) 16x² - 81; (4x - 9)(4x + 9)
Step-by-step explanation:
3x² - 15x + 18
3(x² - 5x + 6)
3[x² - 2x - 3x + 6]
3[x(x - 2) - 3(x - 2)]
3(x - 2)(x - 3)
x - 2 = 0
x = 2
x - 3 = 0
x = 3
Zeros: 2 and 3
y-intercept: at x = 0
3(0-2)(0-3) = 18
x² - 2(x)(b) + 6²
b = 6
2x(6) = 12x
(x - 6)²
16x² - 81
(4x)² - 9²
(4x - 9)(4x + 9)
It's a vertical line, parallel to the y-axis, crossing the x-axis at the point x=22.
No matter what number you choose for 'y', you'll always find that x=22 there.
