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!
Answer:
50%
Step-by-step explanation:
Let the total number of trees be T and suppose that this is made up of eucalyptus trees E and other kinds of trees, O.
Then E+O=T, and since 99% of the trees are eucalyptus trees, EE+O=0.99.
Therefore
0.99E+0.99O=E
0.01E=0.99O
E=99O.
Suppose we reduce the number of eucalyptus trees by some amount x and that the remaining number of eucalyptus trees are now 98% of the total trees.
Then we would have E−x(E−x)+O=0.98.
Therefore,
0.02(E−x)=0.98O
0.02E−0.02x=0.98O
0.02x=0.02E−0.98O
x=E−50(0.98)O
x=E−49O
x=E−49(E99)
x=5099E≈0.505050...×E.
So we end up removing a little over half of the eucalyptus trees. EDIT: Forgot to mention - removing 50.505050...% of the eucalyptus trees means that we are removing 0.50505050....×0.99T which is 0.5T or half the trees in the neighborhood.
Answer:
The correct option is D.
Step-by-step explanation:
We have to find the expresses this statement: A quantity x is equal to the sum of the squares of a and b.
The square of a can be written as a² and the square of b can be written as b².
The sum of squares of a and b can be written as
Since the quantity x is equal to the sum of the squares of a and b, therefore
Therefore option D is correct.
To find the total cost, you need to add these numbers together
you get 7.37 as your answer, but you need to round this to the nearest whole number.
rounding 7.37 will make it 7.
the total cost is about $7
<span>Write the equation of the line that satisfies the given conditions, Express the final equation in standard form. Contains the point (2,5) and is parallel to the line x-2y=-5
The given equation can be written 2y=x+5; y = (1/2)x+(5/2)
It's slope is 1/2
So any line parallel to it has slope = 1/2
If the line also passes thru (2,5), 5 = (1/2)2+b; b=4
Therefore the equation you want is y = (1/2)x+4</span>
