Find two numbers with a sum of 20 and a difference of 14
Make two equations
X+Y=20
X-Y=14
Now add x since y cancels out and add 20+14 To end up with
2x=34
Now divide 2 both sides to get x alone
2x/2=34/2
X=17
Now substitute x answer to first equation and solve for y
17+y=20
Subtract 17 both sides
Y= 3
Your two numbers are
3 and 17
Answer:
For x ≥ 2, the graph will be a straight line parallel to x-axis and having equation y = - 3
And for x < 2 will be a straight line having equation y = x i.e. the graph makes 45° angle with the positive x-axis and passing through the origin.
Step-by-step explanation:
The piece wise function g(x) is given by
g(x) = x if x < 2 and g(x) = - 3 if x ≥ 2.
Now, the graph has two parts, one for x ≥ 2 and another for x < 2.
Here, for x ≥ 2, the graph will be a straight line parallel to the x-axis and having equation y = - 3
Again, the graph for x < 2 will be a straight line having equation y = x i.e. the graph makes 45° angle with the positive x-axis and passing through the origin. (Answer)
Answer:
1/5 gallon per minute
Step-by-step explanation:
The fill rate for container 1 is 2 gallons in 10 minutes. For container 2 it is 4 gallons in 10 minutes. The difference in rates is ...
(4 gal - 2 gal)/(10 min) = 2/10 gal/min = 1/5 gal/min
The exponents distribute over factors:

so, you have

Let's focus on each factor: applying the definition of negative exponents, you have

While for the power of 10, you can use the following rule
to write

So, the expression evaluates to

Answer:
(-4,2)
Step-by-step explanation:
Just had the test for this thing lol.
so what you do is find the point Y.
then subtract 1 from it's x axis then add 2 to it's y axis.
work
before: (-3,0)
-1. +2
after. (-4,2)
hope this helps!