Answer:
The parent function for a concave up parabola with its vertex at the origin is
y=a(x-h)^2+k.
+a points the parabola concave up
-a points the parabola concave down
h moves the vertex along the x axis that many times
k moves the vertex along the y axis that many times.
if you need more clarification comment on this question.
The system of equations is:
x = 2y
x*$10 + y*8 = $84
Solving it, we see that he worked 3 hours landscaping and 6 hours washing cars.
<h3>
How to write the system of equations?</h3>
First, we need to define the variables:
- x = number of hours washing cars.
- y = number of hours landscaping.
We know that Alexander worked twice as many hours washing cars as he worked hours landscaping, then:
x = 2y
We also know that he earned a total of $84, then:
x*$10 + y*8 = $84
So the system of equations is:
x = 2y
x*$10 + y*8 = $84
To solve it, we just replace the first equation into the second one:
(2y)*$10 + y*8 = $84
y*$28 = $84
y = $84/$28 = 3
So He worked 3 hours landscaping, and:
x = 2*y = 2*3 = 6
6 hours washing cars.
If you want to learn more about systems of equations:
brainly.com/question/13729904
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Answer:
C) 18
Step-by-step explanation:
4st - 2t
4(2)(3) - 2(3)
24 - 6
18
By definition:
- If a system has at least one solution, it's said to be consistent.
- If a system has exactly one solution, it's independent.
- If a system has infinite solutions, it's dependent
- If a system has no solutions, it's inconsistent.
Your system has exactly one solution (the two lines represent the two equations, and the point where they meet is the solution of the system), and so it is consistent, and in particular independent.
Answer:
1.) 
2.) 
3.) 
4.) 
5.) 
6.) 
Step-by-step explanation:
Use the 30°-60°-90° formulas:
a. 
b. 
1.) Insert values for a:
Simplify:
Insert values for b:
Simplify:
2.) Insert values for a:
Simplify:
Insert values for b:
Simplify:
3.) Insert values for a:
Simplify:
Insert values for b:
Simplify:
4.)Insert values for a:
Simplify:
Insert values for b:
Simplify:
5.) Insert values for a:
Divide both sides by 
and rationalize:
Flip:
Insert values for b:
Simplify:
6.) Insert values for a:
Divide both sides by and rationalize:
Flip:
Insert values for b:
Simplify:
Finito.
