Answer:
Option D. 
Step-by-step explanation:
we have
-----> the parent function
The vertex of the function F(x) is the origin (0,0)
The vertex of the function G(x) is the point (0,-1)
so
The rule of the translation is equal to
(x,y)------> (x,y-1)
That means ------> The translation is 1 unit down
Applying the rule of the translation to F(x)
F(x)-------> G(x)

Answer:
4D - 1
Step-by-step explanation:
So, if Ted saves $D for 4 weeks, then this amount will be equal to 4D because multiplication is simply repeated addition. We can imagine this situation as D+D+D+D, for the 4 weeks he is saving. We can simplify this to 4D in the expression.
Next, the question tells us that this will be 1 dollar more than needed. So, if we want to find the cost, we need to subtract that dollar.
Thus, the final expression is 4D - 1 because this represents 1 dollar less than the money he saves for 4 weeks.
Answer:
51°
Step-by-step explanation:
Given
<QPR = 39°
<PQR = 90° ( inscribed angle in semi circle)
Now
<QPR + <PQR + <PRQ = 180° { being sum of angles of triangle)
39° + 90° + <PRQ = 180°
<PRQ = 180° - 39° - 90°
<PRQ = 51°
Hope it will help :)
The word "is" in this kind of problem typically means "=", so we know that something =-8. Since we're finding the number, we should start with the closest thing in the phrase given to that number. In this case, it's 3/4x. Finally, since we have the "14 less than", we need to add that in. Your answer is:
3/4x-14=-8. Now we can just solve!
+14 +14
3/4x=6.
*4/3 *4/3
x=8.
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6 2/3 + 1 5/6 = 8 1/2
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