Let
g(x)--------> the translation of the function f(x)
we know that
the rule of the translation is
units left and
units down
that means

so
In the function f(x) the point
is equal at the point
in the function g(x)
therefore
the function g(x) is equal to


<u>The answer is</u>
a) the rule of the translation is 
b) The graph in the attached figure
Answer:
129 is x
Step-by-step explanation:
Your equation would be like this x= 45 + 6=180 (180 because the sum of the angle measures in a triangle is 180 always)
so once you add 45+6 =51 the equation is now x=51=180 so you subtract 51 from both sides so it equals as this x=51=180
x =-51= -51
x= 129
Answer:
72 cubes
Step-by-step explanation:
Attached is the picture drawn (though not great one), showing 6 cube on length of prism, 3 cubes on width and 4 cubes on height of prism.
Given: Length of prism= 6
Width= 3
Height= 4
To know the number of cubes, which can fill the entire prism, we need to find volume of prism.
∴ Volume of prism= 
Volume of prism= 
∴ 72 units of cube can fill the entire prism.
Answer:
840 courses
Step-by-step explanation:
One third of the people ate a two course meal: 105 people ate two course meals.
Two thirds of the people ate a three course meal: 210 people ate three course meals.
105X2 + 210X3 = 210 + 630 = 840 courses