Measures of angles 2, 3, 4, added equal 180
1 hr = 10/10
1/10 of an hr= 6 min
(7)(6)=42
Saturday she rode her bike for 42 min
Sunday
1 hr = 5/5
1/5 of an hr = 12 min
(3)(12)= 36
On sunday she rode her bike for 36 min
Finally
42-36= 6
She rode her bike 6 min longer on saturday than sunday
Answer: 15/32
Step-by-step explanation:
The data that we have is:
5/8 of the vegetable sold where green.
of theses 5/8, 3/4 were string beans.
Then the 3/4 is applied to the 5/8 of green vegetables.
Then the fraction (of the total number of vegetables) that were string beans was:
F = (3/4)*(5/8) = (3*5)/(4*8) = 15/32
Answer:

.
Step-by-step explanation:





Answer:
A) y = 3(x -3)^2 -46
B) (3, -46)
C) look at the y-coordinate of the vertex
Step-by-step explanation:
A) Factor the leading coefficient from the variable terms.
y = 3(x^2 -6x) -19
Inside parentheses, add the square of half the x-coefficient. Outside, subtract the same value.
y = 3(x^2 -6x +9) -19 -3(9)
y = 3(x -3)^2 -46
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B) Compared to the vertex form, ...
y = a(x -h)^2 +k
we find a=3, (h, k) = (3, -46).
The vertex is (3, -46).
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C) The vertex is an extreme value (as is any vertex). The sign of the leading coefficient tells you whether the parabola opens upward (+) or downward (-). This parabola opens upward, so the vertex is a minimum.
If the leading coefficient is positive, the y-coordinate of the vertex is a minimum. If the leading coefficient is negative, the y-coordinate of the vertex is a maximum.