Answer:
-2=x
Step-by-step explanation:
4x+12=-2x
Subtract 4x on both sides
12=-6x
Divided by -6 on both sides
-2=x
Answer:
21 because there is a 1/4 chance and there are 84 questions, so 1/4 (25%) of 84 is 21.
Step-by-step explanation:
Answer:
3 ( x-1) (x+1) is the factored form
zeros are x=1, -1
Step-by-step explanation:
3x^2-3
Factor out a 3
3 ( x^2 -1)
What is inside the parentheses is the difference of squares
( a^2 -b^2) = ( a-b)(a+b)
3 ( x-1) (x+1)
To find the zeros, set this equal to zero
3 ( x-1) (x+1) =0
Using the zero product property
x-1 =0 x+1 =0
x=1, x=-1
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.
Answer: $4902
Step-by-step explanation:
Amount = P (1 + rt)
= 4300 (1 + .02 * 7)
= 4300 (1 + .14)
= 4300 (1.14)
= 4902
