The possible digits could be 0, 1, 2, 3, or 4 as they would cause the entire number to round down instead of up.
g(x) is basically transformed f(x). First, let's focus on f(x) graph. Notice how the graph has slope of 1 and intersect y-axis at (0,0).
Which means that our equation for f(x) is:

Now then we focus on g(x). g(x) is f(x+k). That means if f(x) = x then f(x+k) would mean substitute x = x+k in the equation.

Next, we want to find the value of k. In the slope-intercept form or y = mx+b where m = slope and b = y-intercept. Notice the g(x) graph and see that the graph intersects y-axis at (0,4). Therefore k = y-intercept = 4.

Answer
- g(x) = x+4
- Therefore the value of k is 4.
Answer:
B
Step-by-step explanation:
-10 + 3x - x - 7x + 5x + 7 + 2x
combine like terms
-10 + 3x - x - 7x + 5x + 7 + 2x
-3 + 3x - x - 7x + 5x + 2x
the -7x and the 5x + 2x cancel out to 0, so for the x terms we are left with 3x -x to get 2x
= 2x - 3
Answer:
(b)(i) LCM of 45 and 50 = 450
Hence, it take 450 minutes until both ovens ding simultaneously.
(b)(ii) 450÷50=9 banana cakes baked
450÷45=10 chocolate cakes baked.
Answer:
37 degrees
Step-by-step explanation:
The angles within a triangle always add up to 180 degrees. Right angles are always 90 degrees. 53 + 90 = 143 degrees. 180 - 143 = 37 degrees