Answer:
y≤-1/3 (fraction)
And on the number line it will start from -1/3 (-0.333) and go less than -1/3 ( to the left, and it will be shaded
Step-by-step explanation:
First we expand the brackets, making it -15y+12≥17
Then we move 12 to the other side, making it negative, -15y≥17-12
Simplify, -15y≥5
Then we divide on both sides to isolate y, flipping the greater than sign to less than because when you divide or multiply by a negative number, the sign flips. y≤5/-15
Then we simplify by dividing the fraction by 5, making it -1/3. y≤-1/3
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Answer:
The two lines are not parallel.
Step-by-step explanation:
Every linear equation follows this structure:
y = mx + b
y is the y value
x is the x value
m is the gradient/slope of the line
b (or sometimes c) is the y-intercept of the line
Firstly, we have to get the y term on one side by itself.
6x + y = -1
-6x -6x
y = -6x - 1
-2x -5y = 1
+2x +2x
-5y = 2x + 1
Secondly, we make it so the y term is just the y value.
The first equation is already like this, so we don't need to do anything to that.
-5y = 2x + 1
÷ -5 ÷ -5
y = (2x + 1) / -5
This can be expanded and simplified to:
y = -2/5x - 1/5
Thirdly, we have to compare the slopes and y-intercepts.
y = -6x - 1
y = 2/5x - 1/5
If the slopes are the same and the y-intercepts are different, they are parallel. However, the slopes are different, therefore they are not parallel.
Check the picture below, y = 0 when that happens
bear in mind the square root would give us a +/- roots, however, since this is seconds, a negative unit would be unfeasible, thus we only used the positive root from it.
25c - 5
Simplify all of the answer choices & see which one is correct.
a) 5(5c - 1)
25c - 5
A) IS CORRECT.
b) 5(20c + 1)
100c + 5
B IS INCORRECT.
c) 5(5c)
25c
C IS INCORRECT.
d) 5(c -1 )
5c - 5
D IS INCORRECT.
Therefore, the correct answer is a) 5(5c - 1)
~Hope I helped!~
Answer:
20x3.14=62.8 62.8x10=628 Volume=628inches
Step-by-step explanation:
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