Let's first rewrite it in vertex form.
Start by completing the square.
y = x² + 4x + 4 - 4 - 1
y = (x + 2)² - 5
(x + 2)² = y + 5
Now, 4a = 1; a =
So, the vertex form is (x + 2)² = 4(
)(y + 5)
So, we know that the vertex is at (-2, -5).
Since it's a concave up parabola, we just have to change the y-value to find the focus.
∴ F(-2, -5 +
)
F(-2,
)
47.50/10 = 4.75
57/12 = 4.75
76/16 = 4.75
The unit rate is C. $4.75
Answer:
1- The student spent 48 minutes and 45 seconds playing basketball.
2- The student spent 33 minutes and 45 seconds playing soccer.
Step-by-step explanation:
1- If during a week the student exercised for 3 hours at school, and for 1/4 hour at home, it could be said that the student exercised for a total of 195 minutes (60 x 3 + 60/4) . Now, if I exercise 1/4 of that time playing basketball, the student spent 48 minutes and 45 seconds playing that sport (195/4).
2- If during a week the student exercised for 2 hours at school, and for 1/4 hour at home, it could be said that the student exercised for a total of 135 minutes (60 x 2 + 60/4) . Now, if I exercise 1/4 of that time playing basketball, the student spent 33 minutes and 45 seconds playing soccer (135/4).
32 = 12 1/4 + 6 1/3 +x
get a common denominator for the fraction, 12
32 = 12 (1/4 * 3/3) + 6 1/3*4/4 + x
32 = 12 3/12 + 6 4/12 + x
add
32 = 18 7 /12 + x
subtract 18 7/ 12 from each side
32 - 18 7/12 = x
borrow from 32
31 12/12 - 18 7/12 = x
13 5/12 =x
Choice A
