Sand and gravel are combined with other materials to create a cement mixture. The relationship between sand and gravel is repres
1 answer:
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Answer:
solution is
[-3,-1]
Step-by-step explanation:
we are given
Firstly, we will find critical values
so, let's assume it is equal
now, we can break absolute sign
For :
we can solve for x
Add both sides by 20
Divide both sides by -10
and we get
For :
we can solve for x
Subtract both sides by 20
Divide both sides by 10
and we get
so, critical values are
now, we can draw a number line and locate these values
and then we can check inequality on each intervals
For :
We can select any random value from this interval and plug that in inequality
and we get
we can plug x=-5
so, this is FALSE
For :
We can select any random value from this interval and plug that in inequality
and we get
we can plug x=-2
so, this is TRUE
For :
We can select any random value from this interval and plug that in inequality
and we get
we can plug x=0
so, this is FALSE
so, solution is
[-3,-1]
Answer:
A. (–8, 2)
Step-by-step explanation:
(1) y = ½x + 6
(2) y = -¾x – 4 Set (1) = (2)
½x + 6 = -¾x – 4 Multiply each side by 4
2x + 24 = -3x – 16 Add 16 to each side
2x + 40 = -3x Subtract 2x from each side
40 = -5x Divide each side by -5
(3) x = -8 Substitute (2) into (1)
y = ½(-8) +6
= -4 + 6
= 2
The solution to the system of equations is (-8 ,2).
You can see the graphs of the two functions in the figure below. The two lines intersect at (-8, 2).
Check:
2 = ½(-8) + 6 2 = -¾(-8) - 4
2 = -4 +6 2 = 6 - 4
2 = 2 2 = 2
