Answer:
This is a problem with translations in the x-axis.
if we have a real positive number a, then for a function f(x), the graph of the function f(x - a) will be the graph of f(x) but translated by a units to the right.
then, if we have f(x - 2) we translate the graph 2 units to the right, if we have f(x + 4) we translate the graph by 4 units to the left.
Then the order, from left to right, is:
f(x + 3)
f(x +2)
f(x)
f(x - 1/2)
f(x - 4)
f(x - 7)
The answer to that would be 1/3-8=-13
Given:
In a parallelogram 
.
To prove:
Solution:
It is given that 
, it means 
and 
are right angle triangles.
In triangle PQV and triangle TSV,
(Right angles)
(Opposite angles of a parallelogram)
Two corresponding angles are congruent. So, by AA property of similarity, we get
We know that the corresponding parts of similar triangles are proportional. So,
It can be rewritten as:
Hence proved.
Sam borrowed 50 dollars. Since 4.50 is 9% and 9% is so close to 10% I rounded up to 5 is 10% as a guess. Doing this, I multiplied both by ten to get 50=100%. To check, I multiplied 50 by .09 (9%) and got 4.5
Answer: 6 donuts
Step-by-step explanation:
Given the following :
Cost of donut = $1.50
Cost of cookies = $0.50
Amount to spend = $15
Total number of donut and cookies to buy must not be less than 12
Number of cookies purchased = 10
Maximum number of donuts Blake could buy:
Amount spent on cookies = (10 × $0.50) = $5
Amount left to spend = ($15 - $5) = $10
Maximum number of donuts Blake could buy:
Amount left / cost per donut
= $10 / $1.50
= $6.66
Hence, maximum number of donut would be 6
