Answer:
A
Step-by-step explanation:
An excluded value is any value of x that makes the denominator of the rational expression zero as this would make the expression undefined.
For expression A
The denominator will be zero when x² - 4 = 0
x² - 4 is a difference of squares, thus
(x - 2)(x + 2) = 0
x - 2 = 0 ⇒ x = 2
x + 2 = 0 ⇒ x = - 2
The excluded values of x are x = ± 2 ⇒ A
Answer:
Triangle CAT was rotated 90 degrees clockwise around the origin.
Step-by-step explanation:
The coordinate points for A and A' are (-3,3) and (3,3). The change from A to A' from quadrant 2 to 1 is a 90 degree rotation in the clockwise direction. Each of the points are equal distance from the origin (0,0) and this is the center of rotation.
Cost of 1 plant = $ p
Cost of 4 plants = $(4p)
Cost of a 10-gallon tank = $10
Cost of a water dish = $3
Total cost = 4p + 10 + 3 = 4p + 13
Answer:
9 inches
Step-by-step explanation:
The population is within 6 standard deviations of the mean with a confidence of 99.7 percent, 3 above and 3 below
The standard deviation of the sample mean is equal to the population standard deviation divided by the square root of the sample size
population standard deviation = 36
sample size = 144
standard deviation of the sample mean = 36/ sqrt(144)
=36/12
=3
The margin of error is the number of standard deviations above the mean * the standard deviations
margin of error = 3 * 3
= 9 inches
