What is the smallest integer that rounds to 300 when rounded to the nearest hundred?
1 answer:
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Let's solve the first inequality at first. So,
−2(x + 4) + 10 < x − 7
-2x- 8 + 10 < x - 7 By distribution property.
-2x + 2 < x - 7 Adding the like terms.
-2x < x - 7 - 2 Subtract 2 from each sides.
-2x < x - 9 By simplifying.
-2x - x < -9 Subtract x from each sides.
-3x < -9
Since we are dividing by negative 3. So, sign of inequality will get change.
So, x>3
Now the next inequality is,
−2x + 9 > 3(x + 8)
-2x + 9 > 3x + 24
-2x > 3x + 24 - 9
-2x > 3x + 15
-2x - 3x > 15
-5x >15
So, x <-3
Hence, the correct choice is x > 3 or x < −3.
Answer:
Step-by-step explanation:
Every time the x-value increases by 1, the y-value increases by 2. Therefore, the slope of the line must be equal to (rise/y-values over run/x-values). In slope-intercept form
,
represents the slope of the line,
represents the y-intercept, and
represents any point the line passes through.
Since represents the slope of the line, the value of
While the question only asks for this value, it's good to note that the equation of the function is (find 7 by substituting any ordered pair in the table with
).