Writing the slope-intercept form of a linear equation, we have:
Where m is the slope and b is the y-intercept.
Since parallel lines have the same slope, we can see that the slope of the line y = 2/3x + 1 is equal m = 2/3, so for our equation we also have m = 2/3.
Now, using the point (0, -4), we have:
So our equation is:
y = 2/3x - 4
Answer: x ≥ 5
Step-by-step explanation:
7 is increased by the product of a number and 3: 7 + 3x
Is at least 22: ≥ 22
Your equation is: 7 + 3x ≥ 22
subtract 7 from both sides
3x ≥ 15
divide both sides by 3
x ≥ 5
Answer:
Hope this helps!
Step-by-step explanation:
2L + 3S = 83
4L + 8S = 197
Multiplies the top equation by -2.
-4L + -6S = -166
4l + 8S = 197
Adding them together...
2S = 31
S = 31/2 = 15.5
Plugging into the first equation:
2L + 3S = 83
2L + 3(15.5) = 83
2L + 46.5 = 83
2L = 83 - 46.5
2L = 36.5
L = 36.5/2 = 18.25
check:
2L + 3S = 2(18.25) + 3(15.5) = 36.5 + 46.5 = 83
4L + 8S = 4(18.25) + 8(15.5) = 73 + 124 = 197
The Large box weighs 18.25
The small box weighs 15.5
True. If there is a point in the middle that is false, we have two create 2 solutions.
Hope this helps!
Since 6 is greater than 5 you input it into the last equation!
2•(6^2) -7
2•(36) -7
72 -7
65
The answer is 65!
