135 degrees is your answer
Answer:
A. 6
B. 143
C. The words "less than", "equal to", and "no more than"
Step-by-step explanation:
For a, we would want to first make an equation to represent the problem. It appears you've already figured that out though, so lets solve it!
Subtract 56 on both sides.
-6m=-36
Now divide -36 by -6 to isolate m.
m=6
It will take her 6 minutes.
For B, we need to make another equation.
2.95b<450-28
First, we can subtract 28 from the total, because she has already spent $28.
Now our equation is 2.95b<422
Lastly, just divide both sides by 2.95 to isolate b.
Our solution is 143. So she can buy 143 batteries.
Lastly, for 13, we can say that the words "less than", "equal to" and "no more than" can indicate an inequality in a real word problem.
Hope this helps!
Answer:
<h2>(f · g)(x) is odd</h2><h2>(g · g)(x) is even</h2>
Step-by-step explanation:
If f(x) is even, then f(-x) = f(x).
If g(x) is odd, then g(-x) = -g(x).
(f · g)(x) = f(x) · g(x)
Check:
(f · g)(-x) = f(-x) · g(-x) = f(x) · [-g(x)] = -[f(x) · g(x)] = -(f · g)(x)
(f · g)(-x) = -(f · g)(x) - odd
(g · g)(x) = g(x) · g(x)
Check:
(g · g)(-x) = g(-x) · g(-x) = [-g(x)] · [-g(x)] = g(x) · g(x) = (g · g)(x)
(g · g)(-x) = (g · g)(x) - even
Answer:
- The graph is attached below.
Step-by-step explanation:
Given : A sine function has the following key features:
Period = π , Amplitude = 2, Midline: y = -2 , y-intercept: (0,-2)
The function is a reflection of its parent function over the x-axis.
To plot the graph :
Solution :
General form of sin function is
Where A is the amplitude
C is the midline
Substitute the given key features
A=2 , C=-2
The sin function is
The function is a reflection of its parent function over the x-axis.
i.e, The coordinate became (x,y)→(x,-y)
The sin function is
Now, We plot the graph of the sin function.
The graph is attached below.
First point is midline i.e, (0,-2)
Minimum point is
Answer:
42°
Step-by-step explanation:
This is right triangle and sum of 2 angles is 90°:
y+48°=90°
so y= 90°- 48°= 42°