Answer:
1a
2b
3a
4c
5c
6c
7a
8d
9b
10b
11a
12c
13b
14a
15a
Step-by-step explanation:
Answer: y = 3x-8
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Explanation:
The slope is 3, so m = 3
The given point is (3,1) meaning x = 3 and y = 1. The x coordinate is always listed first in an ordered pair. The general format is (x,y)
We'll use m = 3, x = 3 and y = 1 to find the y intercept
y = mx+b
y = m*x+b
1 = 3*3+b ... plug in m = 3, x = 3 and y = 1
1 = 9+b
1-9 = 9+b-9 ... subtract 9 from both sides
-8 = b
b = -8
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So we're given m = 3 as the slope and we just found that b = -8 is the y intercept
So y = mx+b updates to y = 3x-8. This is the final answer.
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Side Notes:
* The slope of 3 means rise/run = 3/1 indicating each time we go up 3, we move to the right 1
* The y intercept -8 is the location on the vertical y axis numberline where the graph crosses. The point (0,-8) is on this line.
Answer:
a: x − 2y = −12
Step-by-step explanation:
the standard form of a line is is usually given as Ax + By = C, so just by deduction you can tell that the correct answer is a.
If you want to do the procedure it would be:
y − 3 = 1/2 (x + 6)
y − 3 = 1/2 x + 3
y - 1/2 x = 3 + 3
y - 1/2 x = 6
(y - 1/2 x = 6) * 2 to get rid of the fraction
2y - x = 12 rearrenge the terms
x - 2y = -12
Answer:
-0.399
Step-by-step explanation:
f^-1(1024)=(2*1024-2/5)^-1= 0.000488
f(0.000488)=2*0.000488-2/5= -0.399
Step 1: The Unbalanced Chemical Equation. The unbalanced chemical equation is given to you. ...
Step 2: Make a List. ...
Step 3: Identifying the Atoms in Each Element. ...
Step 4: Multiplying the Number of Atoms. ...
Step 5: Placing Coefficients in Front of Molecules. ...
Step 6: Check Equation. ...
Step 7: Balanced Chemical Equation.
