Vertex form: y = a(x-h)^2 + k
Let's find a.
Substitute vertex and point on parabola into vertex equation:
-1 = a(2-4)^2 - 3
Solve for a:
-1 = a*4 - 3
2 = a*4
a = 1/2
The vertex equation for this parabola is y = 1/2(x-4)^2 - 3
By elimination, the answer is D, y = 1/2(x-4)^2 and y = (1/2)x^2 - 4x + 5
Answer: 3 miles per hour
<u>Step-by-step explanation:</u>
Use the formula "distance (d) = rate (r) x time (t)" to create a system of equations.
Let "r" represent the rate they are rowing
Let "c" represent the current
time rate distance <u>EQUATION</u>
Downstream: 4 hours r + c 40 miles 4(r + c) = 40
Upstream: 10 hours r - c 40 miles 10(r - c) = 40
Distribute, then eliminate r to solve for c:
Down: 4r + 4c = 40 → 5(4r + 4c = 40) → 20r + 20c = 200
Up: 10r - 10c = 40 → -2(10r - 10c = 40) → <u>-20r + 20c</u> =<u> -80</u>
40c = 120
<u> ÷40 </u> <u>÷40 </u>
c = 3
Answer:
X= -1/3
Step-by-step explanation:
In the picture it shows the work that i did
Answer:
412 is not divisible by 3
Answer:
A
Step-by-step explanation: