Answer:
C ( h(x) = x^2 - 6x)
Step-by-step explanation:
Assuming that the function has a slope of 1 (none of the answer choices show a different slope, for all of the coefficients of x^2 are 1) the easiest way to solve this problem would be to find the function for the graph instead of inputting points from the graph into each of the function. (you could do that if you weren't sure.) To get a function from the graph, we first have to find the vertex and enter it into this vertex form function:
h(x) = (x - a )^2 - b
(there are other ways, but finding the vertex and putting the function in vertex form and then simplifying is the easiest way in this situation.) Looking at the graph, we can tell that the vertex of the function is (3, -9). Using the fact that h(x) = (x - a )^2 - b works for the vertex (-a, b), we can conclude that the function is
h(x) = (x - 3)^2 - 9.
This is not an answer! We have to simplify (x - 3)^2 - 9 to answer the question. By squaring x - 3, we get:
x^2 - 6x + 9 - 9 =
x^2 - 6x.
Therefore, the answer is:
C (h(x) = x^2 - 6x).
Answer=4
8*16=128
your number is 8
therefore half your number is 4
8/2=4
Note the equal sign, what you do to one side, you do to the other side. Isolate the variable z.
First, subtract 3z and add 6/4 to both sides
4z (-3z) - 6/4 (+6/4) = 3z (-3z) + 1 (+6/4)
4z - 3z = 1 + 6/4
Simplify. Note that 1 = 4/4.
z = 4/4 + 6/4
Simplify. Combine like terms
z = 10/4
Simplify. Change the improper fraction into mixed fraction and simplify.
z = 10/4 = 2 2/4 = 2 1/2
~
Answer:
(i)
<u>Given</u>
<u>Also we see that</u>
- ∠ABC = ∠DBE as refer to same angle
<u>Since two angles of triangles are congruent, the triangles are similar by </u><u>AA similarity postulate</u>
(ii)
<u>In similar figures corresponding parts have same ratio. Use ratios to find the value of x:</u>
- AB/EB = AC/ED
- 12/8 = x / 4
- x = 4*12/8
- x = 6 cm
