Answer:
= −
8/5
Step-by-step explanation:
Distribute
3
(
2
+
3
)
=
1
(
+
1
)
6
+
9
=
1
(
+
1
)
Multiply by 1
6
+
9
=
1
(
+
1
)
6
+
9
=
+
1
Subtract
9
9
9
from both sides of the equation
6
+
9
=
+
1
6
+
9
−
9
=
+
1
−
9
The vertex form is y=a(x-h)²+k
the vertex is (h,k)
so
y=-1(x-2)²+3
compare to
y=a(x-h)²+k
2=h and 3=k
the vertex is (2,3)
4th option
Answer:
x=21
Step-by-step explanation:
100+3x+x-4=180
100+4x-4=180
96+4x=180
4x=180-96
4x=84
x=21
Answer:
Number of bags of candy = 2
Number of bags of cookies = 7
Step-by-step explanation:
Let, number of bags of candy = X
So, Number of bags of cookies = X + 5
Cost of candy bag = $8
Cost of cookies bag = $2.5
Total sales = $33.50
So, Total cost of Candy Bags + Total cost of cookies bags = Total sales
= 8X + 2.5 ( X +5) = 33.50
= 8X + 2.5X + 12.5 = 33.50
= 10.5X = 33.50 - 12.5
= 10.5X = 21
X = 2
So, number of bags of candy = 2
Number of bags of cookies = 2 + 5 = 7

Using the quadratic formula we get

Therefore the tennis ball is at least 15 feet above the ground from 0.5 seconds to 2.04 seconds