Answer:
The proposition is true.
Step-by-step explanation:
Now we proceed to demostrate that expression given is true by algebraic means:
1)
Given
2)

3)
Distributive property/
4)
Commutative, associative and modulative properties/Existence of additive inverse/
5)
Commutative property/Definition of division
6)

7)
Distributive property/Associative property/
8)
Modulative property/Existence of additive inverse/
9)
Distributive property
10)

11)
Commutative property/Definition of division/Result
Answer: Option b.
Step-by-step explanation:
1. You have the following parent function given in the problem above:
f(x)=x³ (This is the simplest form. We need to translate it 3 units left and 2 units down)
2. If you take the parent function and make y=f(x+3), then you have:
(The function is shifted 3 units left on the x-axis).
3. Then you if you make y=f(x+3)-2, as following, you obtain:
(The function is shifted 2 units down on the y-axis).
4. Therefore, that is how you obtain the final function.
The answer is the graph shown in the option b.
Answer:
2 21/13
Step-by-step explanation:
Answer:
t = 28 minutes
Step-by-step explanation:
Last Saturday, Camila practiced her dance routines for her upcoming competition. She spent some time practicing her tap routine, and then she spent 17 minutes practicing her hip-hop routine. In all, she practiced for 45 minutes. Let t be the number of minutes that Camila practiced her tap routine. Write and solve an equation to find t.
45 minutes = Number of minutes for hip-hop routine + Number of minutes for tap dance
The equation is given as
45 = 17 + t
Solving for t
t = 45 - 17
t = 28 minutes
Shes spent 28 minutes tap dancing
Answer:
a
Step-by-step explanation: