For the function f ( x ) = x² we have the new function f 1 ( x ) = 1/2 x².f ( x ) = a · x²- If |a| < 1 the graph is compressed vertically by a factor of a.- If |a| > 1 the graph is stretched vertically by a factor of a.Here: a = 1/2 < 1
Answer:C. The graph will be compressed vertically.
Answer: p= $8 s= $2.50
Step-by-step explanation:
3p + 4s = 34 and 3p + 7s= 41.50
Since the number of pizzas DIDNT change between these two equations, we can use the total of the second equation to help us find the price of one sandwich.
41.50 - 34 = $7.5 for 3 sandwiches (7s-4s)
So how much is one sandwich? 7.50/3 = $2.50 for each sandwich
now that we know s, it’ll be much easier finding p. We can use one equation to find p.
3p + 4(2.5) = 34 (Solve algebraically)
3p + 10 = 34
- 10 | -10
3p = 24
3p/3 = 24/3
p = $8. Now you can check by substituting the variables!
Answer:
-1 9/10
Step-by-step explanation:
The higher the number is in the negative The smaller the number actually is for example -2 is lower of a number than -1 or -0.25 is a greater number than -0.50.
Same question was posted earlier .... I repeat my answer here ...
Question (2a):
Given that sum of triangle = 180°
∠1 + ∠2 + ∠3 = 180°
∠3 = 180° - ∠1 - ∠2 ---------------- (1)
Given that sum of angles on the adjacent line = 180°
∠3 + ∠4 = 180°
∠4 = 180° - ∠3 ------------------------(2)
Sub (1) into (2)
∠4 = 180° - (180° - ∠1 - ∠2 )
∠4 = 180° - 180° + ∠1 +∠2
∠4 = ∠1 +∠2 (proven)
Question (2b):
∠4 = 52° + 25°
∠4 = 77°