Jason ran 5/7 of the distance around the school track. Sara ran 4/5 of Jason's distance. What fraction of the total distance aro
1 answer:
You might be interested in
Answer:
A. y = (x -7)² +9
B. y = -(x +3)² -11
C. minimum, (7, 9)
D. maximum, (-3, -11)
Step-by-step explanation:
The general steps to rewriting the function in vertex form are ...
1. factor out the leading coefficient (if not 1) from the first two terms
2. add inside parentheses the square of half the x coefficient; subtract the same amount outside parentheses. The factor in front of the parentheses must be taken into account when adding the same amount outside.
3. rewrite the content of parentheses as a square, collect terms outside parentheses.
___
A. y = x² -14x +58
y = (x² -14x) +58 . . . . . . . . . . step 1
y = (x² -14x +49) +58 -49 . . . step 2
y = (x -7)² +9 . . . . . . . . . . . . . step 3
__
B. y = -x² -6x -20
y = -(x² +6x) -20
y = -(x² +6x +9) -20 -(-9)
y = -(x +3)² -11
__
C. In vertex form, the function for vertical scale factor "a" and vertex (h, k) looks like ...
y = a(x -h)² +k
When a < 0, the vertex is a maximum (the graph opens downward); when a > 0, the vertex is a minimum (the graph opens upward).
The function of part A has a minimum at the vertex (7, 9). 9 is the minimum value.
___
D. The function of part B has a maximum at the vertex (-3, -11). -11 is the maximum value.
We know that x-axis represents weight of dog food in pounds
AND y-axis represents Total cost in dollars
AND a line connects (0,0) and (10,5)
Based on the information we can plot a graph that can be seen in the attached image. The line represents y =
Now, let's look at each of the statements to see which is true and which is false:
A) Point (0, 0) shows the cost is $0 for 0 pound of dog food.
(0,0) indicates that the cost for 0 pound dog food is $0. Hence, this statement is true.
B) Point (1, 0.5) shows the cost is $1.00 for 0.5 pound of dog food.
(1,0.5) indicates that the cost for 1 pound dog food is $0.5. Hence, this statement is false.
C) Point (2, 1) shows that 2 pounds of dog food cost $1.
(2,1) indicates that the cost for 2 pounds dog food is $1. Hence, this statement is true.
D) Point (4, 2) shows the cost is $4 for 2 pounds of dog food.
(4,2) indicates that the cost for 4 pounds dog food is $2. Hence, this is false.
E) Point (10, 5) shows that 10 pounds of dog food costs $5
(10,5) indicates the cost for 10 pounds dog food is $5. Hence, this is true.
