Question
Consider this system of equations. Which shows the second equation written in slope-intercept form?
A. 
B. 
C. 
D. 
Response:
B.
Detailed explanation:
Given
Equation 1:
Equation 2:
Required:
Equivalent of equation 2
To achieve an equivalence of equation 2 (in slope-intercept form), we must first simplify it
Open the brackets
Simplify the fractions
Divide by 2
Re-arrange
Next, we compare options A through D with
A. is not equal to
Next, we check the second option
B.
matches
This option represents the second equation in slope-intercept format.
We check for further options
C.
Convert the fraction into a decimal
This does not equal
D.
Convert the fraction to decimal
This also does not equal to
Therefore, the only option equivalent to the second equation in slope-intercept form is Option B
Answer:
75 dollars in coupons.
250 dollars in dividends.
She achieved a profit of 600 - 425 = 175 from her stock investment.
Her complete income sums up to 250 + 75 + 175 = 500.
If all this is taxed at 10%, her tax will be 500 *.1 = 50.
Answer:
3) A line has one dimension, length. (True)
5) A plane is made up of an infinite collection of lines. (True)
Explanation:
Geometry has three undefined terms:
a) point
b) line
c) plane
Examining the given statements:
1) A point described as (x, y) has two dimensions — this is incorrect because a point has no dimensions.
2) A plane has clear start and end points — this is false as a plane extends infinitely without boundaries.
3) A line has exactly one dimension, which is its length. (True)
4) A point consists of countless lines — this is false; actually, a line consists of infinite points.
5) A plane consists of an unending set of lines. (True)
Health inspector visits once a week.
Fire inspector comes every 12 days.
a) health inspector fire inspector.
day 7. day 12.
day 14. day 24.
day 21. day 36.
day 28. day 48.
day 35. day 60.
b) 12 x 7 = 84.
Both will coincide on day 84.
I believe the answer would be C, based on your previous statements.
