Answer:
x = -7
Step-by-step explanation:
5-x=12
To solve for x, you must first make the equation equal to x (to make x alone on one side).
5 - x = 12
-5 -5
-x = 7
-x(-1)=7(-1)
x = -7
For this case , the parent function is given by [tex f (x) =x^2
[\tex]
We apply the following transformations
Vertical translations :
Suppose that k > 0
To graph y=f(x)+k, move the graph of k units upwards
For k=9
We have
[tex]h(x)=x^2+9
[\tex]
Horizontal translation
Suppose that h>0
To graph y=f(x-h) , move the graph of h units to the right
For h=4 we have :
[tex ] g (x) =(x-4) ^ 2+9
[\tex]
Answer :
The function g(x) is given by
G(x) =(x-4)2 +9
X-y=6 Equation 1
x+y=4 Equation 2
To graph the given system of equation, first find x and y-intercept of each equation.
x-y=6
When y=0
x=6 Point is (6,0)
When x=0
-y=6
y=-6 Point is (0,-6)
Now x-intercept and y-intercept for equation 2.
x+y=4
When x=0
y=4 Point is (0,4)
When y=0
x=4 Point is (4,0)
Now plot these points on the graph, the lines intersect each other at point (5,-1), which is the solution of the given system.
Answer: (5,-1)
Answer:
Step-by-step explanation:
Frequency table for the height of the seedlings,
Height (in inches) Number of seedlings
2
4
2
2
Now we can draw the line plot as attached.
Average height of the seedlings = 
= 
= 
Step-by-step explanation:
x + (-7) ≤ 18
x - 7 ≤ 18
x ≤ 18 + 7
x ≤ 25
Value of x is less than or equal to 25