Answer:
-18 C°
Step-by-step explanation:
Warmed means add cooled means subtract
starting at -23 it warmed by 8 add 8
-15
it warmed by 3 more add 3
-12
then it cooled by 6 subtract 6
-18
Using the definition of the Vertical shifts of graphs of the function :
"Suppose c>0,
To graph y=f(x)+c, shift the graph of y=f(x) upward c units.
To graph y=f(x)-c, shift the graph of y=f(x) downward c units"
Again we recall the definition of Horizontal shifts of graphs:
" suppose c>0,
the graph y=f(x-c), shift the graph of y=f(x) to the right by c units
the graph y=f(x+c), shift the graph of y=f(x) to the left by c units. "
consider
is the parent function.
shifts the graph
upward by 8 units
shifts the graph
downward by 8 units
shifts the graph
left by 8 units
shifts the graph
right by 8 units.
Answer:
Step-by-step explanation:
15 minutes of an hour is 15/60. So 15/60 can be simplified to 1/4.
Answer:
$3,000 was invested in the account that gained 13%
$17,500 was invested in the account that lost 10%
Step-by-step explanation:
Let the amount in both accounts be x and y
x for the first and y for the second
Adding both is 20,500
x + y = 20,500 •••••(i)
First account earned 13% profit
= 13/100 * x = 0.13x
Second account, a loss of 10%
= -10/100 * y = -0.1y
Total loss of -1,360
This is;
-0.1y + 0.13x = -1,360 •••••••(ii)
From i, x = 20,500-y
Insert this into ii
-0.1y + 0.13(20,500-y) = -1,360
-0.1y + 2665 -0.13y = -1360
-0.23y = -1360-2665
-0.23y = -4025
y = -4025/-0.23
y = 17,500
To get x, we have
x = 20,500 -y
x = 20,500- 17,500
x = 3,000