Answer:
The new equation is 
Step-by-step explanation:
Given : Function
were shifted 7 units to the right and 3 down.
To find : What would the new equation be?
Solution :
Shifting to the right with 'a' unit is
f(x)→f(x-a)
So, shifting g(x) 7 units to the right is

Shifting to the down with 'b' unit is
f(x)→f(x)-b
So, shifting g(x) 3 units down is


The new equation is 
The unit price is $1.23 (I think!!)
Answer:
750 profit
Step-by-step explanation:
Given :
Profit of 10 on white cement
Loss of 5 on Grey cement
Number of white cement sold = 325 bags
Number of Grey cement sold = 500 bags
Total profit made on sale of white cement :
10 * 325 = 3250
Loss made on sale of Grey cement :
5 * 500 = 2500
Total profit or loss :
3250 - 2500
= 750
Profit value is greater than. Loss value (hence, total profit of 750 was made).
Answer:
B. 31.4
Step-by-step explanation:
To find x, the hypotenuse, we need to use sin because we have been given the <u>opposite</u> (the side opposite the angle 35°) and we need to work out the <u>hypotenuse</u> (the longest or <em>slanted</em> side):
SOH, CAH, TOA
sin(θ) = opposite ÷ hypotenuse
Sub in the values (we don't know the hypotenuse so i've called it x):
sin(35) = 18 ÷ x (multiply both sides by x)
x × sin(35) = 18 (divide both sides by sin(35))
x = 18 ÷ sin(35) = 31.38204...
x ≈ 31.4
Hope this helps!
Answer:
1/12
Step-by-step explanation:
1/3 times 1/4 is 1/12