Answer:
The point (0, 0) in the graph of f(x) corresponds to the point (4, -7) in the graph of g(x)
Step-by-step explanation:
Notice that when we start with the function 
, and then transform it into the function: 
what we have done is to translate the graph of the function horizontally 4 units to the right (via subtracting 4 from the variable x), and 7 units vertically down (via subtracting 7 to the full functional expression).
Therefore, the point (0, 0) in the first function, will now appeared translated 4 units to the right (from x = 0 to x = 4) and 7 units down (from y = 0 to y = -7).
then the point (0, 0) after the translation becomes: (4, -7)
Answer:
Just took the test, answers are:
x + y ≥ 25,
x > 10,
and y ≥ 0
Answer:
Top-to-bottom, the boxes have this order in the proof: 1, 7, 4, 3, 9, 8, 5, 2, 6.
Step-by-step explanation:
The basic idea is to use the Pythagorean theorem to write two expressions for the length of altitude BD, also called "k", then equate them and simplify the result. This leaves an expression for DC, also called "x", which is replaced by a cosine expression to complete the proof.
Finally, the variations involving other combinations of sides and angles are suggested as being provable in the same way.
Just multiply... 3.2 x 105 = 336 4 x 104 = 416 4.3 x 105 = 451.5 Then to find how much larger A is, divide... 336 / 416 = about 0.81 times larger (or put simply it isn't).
Answer:
7:50
Step-by-step explanation:
The table shows the number of each type of sports card that Jaclyn has collected, so
number of baseball cards = 45
number of basketball cards = 14
number of football cards = 20
number of soccer cards = 21
total number of cards = 45 + 14 + 20 + 21 = 100
Hence the ratio between the number of basketball cards and the total number of cards is
