Answer:
The second choice, 
.
Step-by-step explanation:
Note, that the expression 
is an equation. A point 
is on the graph of 
if and only if the value of 
and 
satisfy this equation; that is: in other words, the 
-coordinate of that point (the second number in the tuple) should be equal to 
, which is equal to 
(evaluated where 
is equal to the first number in the tuple.
For each tuple in the choices, calculate the value of where is equal to the first number of each tuple. Compare the result to the second number in that tuple. That choice corresponds to a valid point on only if these two numbers match.
- First choice:
, 
. That's not the same as the second number, 
. Therefore, this point isn't on the graph of . - Second choice:
, 
. That matches the second number in the tuple. Therefore, this point is on the graph of . - Third choice:
, 
. That's not the same as the second number, 
. Therefore, this point isn't on the graph of . - Fourth choice:
, 
. That's not the same as the second number, 
. Therefore, this point isn't on the graph of .
Answer:
x=2y=6
Step-by-step explanation:
x+2y=-2y+6+2y
Answer:
x = 1
Step-by-step explanation:
-4v+5x=17 give that (x,-3) is the solution
so x coordinate is = x (unknown)
y coordinate is = -3
substitute the value of y in -4y+5x=17
therefore
-4(-3)+5x=17
12+5x=17
5x=17-12
5x=5
x=5/5
x=1
We know that
in the right triangle ACD
Applying the Pythagoras theorem
AC²=AD²+CD²------> AD²=AC²-CD²-----> AD²=5²-4²---> AD²=9----> AD=3
let
∅=angle CAD
tan ∅=4/3
in the right triangle CDB
the angle DCB is equal to ∅
tan ∅=DB/CD-------> DB=CD*tan ∅------> DB=4*(4/3)----> DB=16/3
AB=AD+DB-----> 3+16/3----> AB=25/3----> AB=8.33
the answer is
<span>b. 8.3</span>
Answer:
P(x) = (0.049x - 0.0000015x²)
Step-by-step explanation:
price per sticker is 0.14 − 0.000002x dollars
total cost of producing the order is 0.091x − 0.0000005x² dollars.
P(x) = profit = Revenue - Cost
Let the number of units of stickers made be x
Revenue = (price per sticker) × (total units sold) = (0.14 − 0.000002x) × (x)
= (0.14x - 0.000002x²) dollars.
Cost of producing x units in the order = (0.091x − 0.0000005x²)
P(x) = 0.14x - 0.000002x² - (0.091x − 0.0000005x²) = 0.14x - 0.091x - 0.000002x² + 0.0000005x²
= (0.049x - 0.0000015x²)
P(x) = (0.049x - 0.0000015x²)
Hope this Helps!!!
