We can use the vertex form of a quadratic,
![y = a(x-h)^{2} + k](https://tex.z-dn.net/?f=y%20%3D%20a%28x-h%29%5E%7B2%7D%20%2B%20k)
, to find that
![g(x) = a x^{2} - 7](https://tex.z-dn.net/?f=g%28x%29%20%3D%20a%20x%5E%7B2%7D%20-%207)
. Plugging
![(x,y)](https://tex.z-dn.net/?f=%28x%2Cy%29)
ordered pairs into g(x), we see that a = 1. For example, for
![(3, 2)](https://tex.z-dn.net/?f=%283%2C%202%29)
,
![2 = a * 3^{2} - 7](https://tex.z-dn.net/?f=2%20%3D%20%20a%20%2A%203%5E%7B2%7D%20-%207)
. Solving for a gives 1.
The lowest common denominator for 8 and 12 is 24. So you would need 3 packages of hotdogs and 2 packages of buns.
Answer:
b
Step-by-step explanation:
just took the test
False, children have higher heart rates than adults because their heart is smaller, and has less blood to pump through the body.
Answer:
y = 2x + 11
Step-by-step explanation:
Slope-intercept form is written y = mx + b
"x" and "y" are points on the line.
"m" is the slope.
"b" is the y-intercept.
Parallel lines have the same slope.
A line parallel to y = 5x + 2 will have the slope 2. m = 2
To find "b", substitute the point (-6, -1) and m = 2 into slope-intercept form. Points are written (x, y), so x = -6 , y = -1
y = mx + b
-1 = (2)(-6) + b Multiply 2 and -6
-1 = -12 + b Isolate "b" by separating it from everything else
-1 + 12 = -12 + 12 + b Add 12 to both sides
11 = b Answer for b, the y-intercept
b = 11 Write variables on left side
Use the slope and y-intercept in slope-intercept form to write the equation.
y = 2x + 11