Answers:
16. 6-x= 10
move +6 to the other side
sign changes from +6 to -6
6-6-x= 10-6
-x= 4
Mutiply both sides by -1
(-1)(-x)= (-1)(4)
x= -4
17. 4a+3= -9
move +3 to the other side
sign changes from +3 to -3
4a+3-3= -9-3
4a= -12
divide both sides by 4
4a/4= -12/4
a= -3
The x intercept of the line is at x = 10.
The x intercept is always the value of x when all other values are equal to 0. So in this case, we put 0 in for t and then solve.
-2x + 5t = -20
-2x + 5(0) = -20
-2x = -20
x = 10
Answer: Choice A
x+3y = 14
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Explanation:
The general template for standard form is Ax+By = C, where A,B,C are integers.
This immediately rules out choices C and D, since they don't fit the format mentioned.
To see which of A or B we can eliminate or confirm, plug (x,y) coordinates from the graph into each answer choice. The ultimate goal is to get a true statement.
For example, the graph shows that (x,y) = (2,4) is on the line. Plug this into choice A to get...
x+3y = 14
2+3(4) = 14
2+12 = 14
14 = 14 this is true
So far so good. The point (2,4) is on the line x+3y = 14. Repeat those steps for (-1, 5) and you should get another true result. So that would confirm choice A is the answer. You only need a minimum of two points to define a unique line, meaning we only need to verify two points on the line. Anything more is just extra busy work.
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If we tried (2,4) with choice B, then,
5x+3y = 14
5(2)+3(4) = 14
10+12 = 14
22 = 14 which is false
This indicates (2,4) is not on the line 5x+3y = 14. We can rule out choice B because of this.
It takes Owen 2 minutes to eat 1 carrot stick
The answer is c because you have the right mathmatics
