Answer:
D. 
and 
Step-by-step explanation:
The vertex of a function is controlled by the translations of the x and y value. Moving a vertex up and down is connected to the vertical position or the y-value. The y-value is the value that is added to the variable and is not squared.
Vertex form of a function is 
. In this case, k controls the vertical position of the vertex. If k is negative then the vertex will be moved down. So, if you want to move a vertex down by 5 units, then the k value must be -5.
Plug this into the formula to get the equation for k(x). This means that k(x) must equal 
.
Answer:
Step-by-step explanation:
The number of grains of wheat on the n(th) square is 2^(n-1), or 2 to
the power of n-1. This is because the first square has 2^0 = 1 grain,
the second has 2^1 = 2, and the n(th) square has twice as many as the
previous. Thus the total number of grains of wheat is
S = 1 + 2 + 4 + 8 + ... + 2^63.
Since this is a geometric sequence with common ratio 2, the sum is
2^64 - 1
S = -------- = 2^64 - 1 = 18446744073709551615.
2 - 1
Answer:
Step-by-step explanation:
Given expression is,
First equalize the denominators of the fractions,
Now combine the fraction as a single fraction,
Since, we can not solve this fraction further, this will be simplified form of the given expression.
Answer:2 6/8
Step-by-step explanation:
Do you subtract the 1/8 from the seventh eighth to get 6/8th. Then you subtract the six from the floor to get 2
Your problem is:
$35.00 is what percentage of $437.50?
If you are given a part and the whole, and you want to know what percent the part is of the whole, divide the part by the whole and multiply by 100.
In this case, the whole is $437.50.
The part is $35.00.
35/437.5 * 100 = 8%
