Answer:
FOIL
Step-by-step explanation:
For this case, the first thing we are going to do is define the following variable:
x = unknown number
We now write the following inequality:
5-3x <= 11
We clear x:
5-11 <= 3x
-6 <= 3x
-6/3 <= x
-2 <= x
The solution set is:
[-2, inf)
Answer:
the solution set is:
[-2, inf)
Answer:
4(30 +7) = 120 +28 = 148
Step-by-step explanation:
When applying the distributive property to integers, we usually break them apart according to place value. That is not the only way it can be done.
4×37 = 4(30 +7) = 4·30 +4·7 = 120 +28 = 148
___
You can also break apart 37 other ways:
4×37 = 4(35 +2) = 4·35 +4·2 = 140 +8 = 148
4×37 = 4(40 -3) = 4·40 -4·3 = 160 -12 = 148
Or, you can break apart 4:
37×4 = 37(2 +2) = 37·2 +37·2 = 74 +74 = 148
_____
The distributive property is usually written in generic form as ...
a(b+c) = ab +ac
Then you may want to stop after the first couple of steps:
4(30 +7) = 4·30 +4·7
We can't tell if you're suppose to evaluate the expression or not. Check your reference materials for an example of this kind of problem.
Inductive reasoning is a kind of reasoning the involves taking specific information and from these information, will create a broader generalization or conclusion. This includes providing strong evidence for the truth of the conclusion. The tools that can be used for inductive reasoning are observation, experimentation and facts.
We can solve this using substitution.
because x-y=2.5
x=y+2.5
Now substitute x into other equation.
2(y+2.5)^2-2y=125
2y^2+10y+12.5-2y=125
2y^2+8y-112.5=0
Now comes the ugly part
y=-4+-sqrt(16+900)
y=-4+-sqrt916
y=-4+-2sqrt229
x=-1.5+-2sqrt229
