I'll do #6.
The axis of symmetry is the x-coordinate of the vertex, which in this case, is (0,-4). So the axis of symmetry is x=0.
The vertex is in the above answer. Since this is a quadratic function, there are no boundaries, the domain is All Real Numbers.
The range goes up forever <em>from </em><em>the vertex. </em>The vertex is (0,-4), so, the minimum y value is -4. The range is y is greater than or equal to -4, or in interval notation: [-4,infinity]
Hope this helps!
25^3/2 = (5^2)^3/2 = 5^(2*(3/2)) = 5^3 = 125
hope this will help you
Answer:
-1/52 x^2
Step-by-step explanation:
4p(y-k)=(x-h)^2
4(-13)y=x^2
-52y=x^2
y=-1/52 x^2
Answer:
The number of children = x = 176
The number of Adults = y = 87
Step-by-step explanation:
Let us represent
The number of children = x
The number of Adults = y
On a certain hot summer's day, 263 people used the public swimming pool.
x + y = 263.... Equation 1
x = 263 - y
The daily prices are $1.25 for children and $2.50 for adults. The receipts for admission totaled $437.50.
$1.25 × x + $2.50 × y = $437.50
1.25x + 2.50y = 437.50.....Equation 2
We substitute 263 - y for x in Equation 2
1.25(263 - y) + 2.50y = 437.50
328.75 - 1.25y + 2.50y = 437.50
- 1.25y + 2.50y = 437.50 - 328.75
1.25y = 108.75
y = 108.75 ÷ 1.25
y = 87
Solving for x
x = 263 - y
x = 263 - 87
x = 176
Therefore:
The number of children = x = 176
The number of Adults = y = 87
