Answer:
(0,1)
Step-by-step explanation:
There is a solution where the two equations intersect, therefore:
3x+1=2x+1
3x-2x=1-1
x=0
If we plug this 0 value into the x of both equations, we get a y value of 1:
y=3*0+1
y=0+1
y=1
OR
y=2*0+1
y=0+1
y=1
Therefore, there is a solution at (0,1)
<em>I hope this helped! :)</em>
Answer:
<h2>The speed of the airplane is 475 miles/hour and the wind is 25 miles/hour.</h2>
Step-by-step explanation:
Let, the speed of the airplane is x miles/hour and the wind is w miles/hour.
With the wind, the speed will be (x + w) miles/hour and against the wind, the speed will be (x - w) miles/hour.
As per the given question, or, w = x - 450.
Now, .
Thus, w = 475 - 450 = 25.
Answer:
Option D - Stretched by a factor of 2, reflected over the y-axis, and translated 9 units left.
Step-by-step explanation:
Given : The function
To find : Which of the following describes the graph of compared to the parent square root function?
Solution :
First we simplify the given expression
→When we see the original square root function minus was taken outside x and 9 was added from x and 2 was multiplied to the entire function.
- Multiplying 2 in the function will give you the stretched by a factor of 2.
- shows the reflection about y-axis i.e, (x,y)→(-x,y).
- If f(x)→f(x+b) then function is shifted left by unit b
⇒ g(x))→g(x+9) then function is shifted left by unit 9
Therefore, The graph of was stretched by a factor of 2, reflected over the y-axis, and translated 9 units left to obtain the graph of the function .
So, Option D is correct.
In the first inequality, we have
In the second, we have
The solution to the system is the intersection of these two intervals, which would be .