Answer:
(4,1)
Step-by-step explanation:
x+y=5
x- y=3
Add the equations together to eliminate y
x+y=5
x- y=3
--------------------
2x = 8
Divide each side by 2
2x/2 = 8/2
x = 4
Now we can find y
x+y = 5
4+y = 5
Subtract 4 from each side
4+y-4 = 5-4
y =1
Answer:
a)1400 + 300x ≤ 5000
b) x ≤ 12 days
Step-by-step explanation:
a) Since the grocery store owner wants to stay within budget then, this means he would be spending at most $5,000
The word at most is represented by the inequality sign ≤ = Less than or equal to
Let x = Number of days
Hence,
Our inequality equation is
$1400 + 300× x ≤ $5000
1400 + 300x ≤ 5000
b) Solving for x
1400 + 300x ≤ 5000
300x ≤ 5000 - 1400
300x ≤ 3600
x ≤ 3600/300
x ≤ 12 days
After 28 days she will have 200. every 28 days she saves 80 dollars and after 112 she will have saved 320. She will then be at 460 and need 40 more dollars which is 14 days, and 112 plus 14 is 126 days. Hope that helped
Answer:
you put the -3 where the x's are
Step-by-step explanation:
f(x)= -2(-3)^2 - 3(-3) + 6
i think i hope thats right
Answer:
Part 1)
----->
Part 2)
----> 
Part 3)
----> All real numbers
Part 4)
----> 
Step-by-step explanation:
we know that
The domain of a function is the set of all possible values of x
Part 1) we have

we know that
In a quotient the denominator cannot be equal to zero
so
For the value of x=0 the function is not defined
therefore
The domain is

Part 2) we have

we know that
In a quotient the denominator cannot be equal to zero
so
For the value of x=-4 the function is not defined
therefore
The domain is

Part 3) we have

Applying the distributive property

This is a vertical parabola open upward
The function is defined by all the values of x
therefore
The domain is all real numbers
Part 4) we have

we know that
In a quotient the denominator cannot be equal to zero
so
Equate the denominator to zero

Remember that

(
The solution is x=-4
so
For the value of x=-4 the function is not defined
therefore
The domain is
