It would be the first option, A 180-degree counterclockwise rotation about the origin followed by atranslation 5 units down, because it rotated 180- degrees and went 5 units on the other side.
Answer:
36≤x≤48
Step-by-step explanation:
Let x represents the height of the child if a child must be at least 36 inches, this means that the child can has a height greater than or equal to 36in. This is expressed as;
x≥36
If the same child has height of no more than 48in, this can be expressed as;
x≤48
Combining both inequality
If x ≥36, this means 36≤x
Combining with x≤48 will give the compound inequality;
36≤x≤48
Answer:
10 = b
Step-by-step explanation:
Begin by expanding (x + 5)^2
(x + 5)(x + 5)
First: x*x = x^2
Outside: x * 5 (the last term which is a 5)
Inside: 5+ x
Last: 5*5 = 25
x^2 + 5x + 5x + 25
x^3 + 10x + 25
Answer: 0.393
Explanation: If the given quantities are r-value (or Pearson's coefficient) and the standard deviations of x and y coordinates, we'll use the following formula for slope:

where:
m = slope of the best fit line
r = r-value = 0.793

= standard deviation of x-coordinates = <span>5.591
</span>

= standard deviation of y-coordinates = 2.772
So, the slope is calculated as follows:

Hence, the slope in 3 decimal places is
0.393.