400 = 2×2×2×2×5×5.
400 = 2^4 × 5^2 .
Answer:
y = -4/7x + 36/7
Step-by-step explanation:
First find the slope between the points,…
Answer: -4/7
Then use a point and the slope together to find the y-intercept
Answer: y = -4/7x + 36/7
Explanation:
The slope-intercept of a slope only would be like:
y = mx
Then write the slope-intercept form of a slope only:
y = -4/7x
Then use a point (-5, 8) to find the y-intercept
y = -4/7x + y-intercept
(8) = -4/7(-5) + y-intercept
8 = 20/7 + y-intercept
y-intercept = 20/7 - 8
y-intercept = -36/7
Let's simplify the above expression :
Any linear equation can be written as
y = mx+b
where m is the slope and b is the y intercept
m = 1/2 in this case. It represents the idea that the snow fell at a rate of 1/2 inch per hour. In other words, the snow level went up 1/2 an inch each time an hour passed by.
b = 8 is the y intercept. It's the starting amount of snow. We start off with 8 inches of snow already.
The info "snow fell for 9 hours" doesn't appear to be relevant here.
Answer:
B. x < -11/3 or x > 7/3
Step-by-step explanation:
absolute value means
3x + 2 > 9 or -(3x + 2) > 9
for 3x + 2 > 9
3x > 9 - 2
3x > 7
x > 7 / 3
for -(3x + 2) > 9
-3x - 2 > 9
-3x > 9 + 2
-3x > 11
3x < -11
x < -11 / 3