Answer:
both equations reduce to y = -1/3x -2
Step-by-step explanation:
In each case, subtract the term not containing y and divide by the coefficient of y.
1. 6y = -2x -12 . . . . 12 was subtracted from both sides
y = -1/3x -2 . . . . . . the equation was divided by 6
__
2. 3y = -x -6 . . . . . . x was subtracted from both sides
y = -1/3x -2 . . . . . the equation was divided by 3
To do this subtract 2 from each side of the equation to get y = -5, so the value of y in this is -5. Hope this helps!
Answer:
Vertex form: f(x) = -10(x − 2)^2 + 3
Standard form: y = -10x^2 + 40x - 37
Step-by-step explanation:
h and k are the vertex coordinates
Substitute them in the vertex form equation:
f(x) = a(x − 2)^2 + 3
Calculate "a" by replacing "f(x)" with -7 and "x" with 1:
-7 = a(1 − 2)^2 + 3
Simplify:
-7 = a(1 − 2)^2 + 3
-7 = a(-1)^2 + 3
-7 = a + 3
-10 = a
Replace a to get the final vertex form equation:
f(x) = -10(x − 2)^2 + 3
Convert to standard form:
y = -10(x − 2)^2 + 3
Expand using binomial theorem:
y = -10(x^2 − 4x + 4) + 3
Simplify:
y = -10x^2 + 40x - 40 + 3
y = -10x^2 + 40x - 37
1 yard = 3 feet
1 minute = 60 seconds
Multiply 32 feet per second by 60 to find feet per minute:
32 x 60 = 1920 feet per minute.
Divide total feet per minute by 3 feet to find yards per minute:
1920 / 3 =640 yards per minute.
