Hello,
1) A odd function has the propriety f(-x)=-f(x)
Answer E
2)
if f(x) is even f(x)=f(-x)
if g(x) is even g(x)=g(-x)
h(x)=f(x)+g(x)=(f+g)(x)
h(-x)=(f+g)(-x)=f(-x)+g(-x)=f(x)+g(x)=(f+g)(x)=h(x)
h(x) is even
Answer:
Step-by-step explanation:
The given equation is in exponential form:
To find 
we need to write it in logarithmic form:
⇒ 
⇒ 
To prove this, we can substitute the value into the given equation
Therefore, the answer is
Answer:
11x + 12
Step-by-step explanation:
( 4x + 12 ) + 7x
Remove parentheses.
= 4x + 12 + 7x
Group like terms.
= 4x + 7x + 12
Add similar elements: 4x + 7x = 11x
= 11x + 12
For this case we must resolve the following inequality:
Adding 7 to both sides of the inequality:
Different signs are subtracted and the major sign is placed.
Thus, the solution is given by all the values of "x" less than -5.
The solution set is: (-∞, - 5)
Answer:
See attached image
Answer:
78 pounds
Step-by-step explanation:
Let's say Yolanda makes a pounds of Type A coffee and b pounds of Type B coffee. Since the total number of pounds is 130, we can write the equation:
a + b = 130
We know the cost of Type A coffee is $5.20/lb and the cost of Type B coffee is $4.05/lb, so since the total cost is $586.30, we can write:
5.20a + 4.05b = 586.30
We can now solve the system of equations:
a + b = 130
5.20a + 4.05b = 586.30
Manipulate the first equation by subtracting b from both sides:
a + b = 130
a = 130 - b
Substitute 130 - b for a in the second equation:
5.20a + 4.05b = 586.30
5.20 * (130 - b) + 4.05b = 586.30
676 - 5.20b + 4.05b = 586.30
Move the terms with b to one side:
1.15b = 89.70
b = 78
Thus, Yolanda used 78 pounds of Type B coffee.
<em>~ an aesthetics lover</em>
