The absolute value equation representing the length of the nail is :
A nail of length 1.05 inches is unacceptable
Actual Length of nail = 1 inch
Allowable variation = 1/32 inches
The minimum allowable length :
actual length - allowable variation
The maximum allowable length :
Actual length + allowable variation
The length of X, of the nail must be follow the equation :
Minimum ≤ X ≤ maximum
A nail of length 1.05 inches
Maximum nail length = 1 1/32 = 1.031
1.05 > 1.031 ; hence, it is greater than the maximum allowable length and hence, Unacceptabe
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Answer:
B) (35, 260)
Step-by-step explanation:
A veterinarian will prescribe an antibiotic to a dog based on its weight. The effective dosage of the antibiotic is given by d ≥ 1∕5w2, where d is dosage in milligrams and w is the dog's weight in pounds. Which of the following ordered pairs gives an effective dosage of antibiotics for a 35-pound dog?
A) (35, 240)
B) (35, 260)
C) (260, 35)
D) (240, 35)
Ordered pairs is composed of pairs, usually an x coordinate and a y coordinate. It refers to a location of a point on the coordinate. It matches numbers to functions or relations.
Given the relation between d is dosage in milligrams and w is the dog's weight in pounds as d ≥ 1∕5w²
For a 35 pound dog (i.e w = 35 pound). The dosage is given as:
d ≥ 1∕5(35)² ≥ 245 milligrams.
For an ordered pair (x, y), x is the independent variable (input) and y is the dependent variable (output).
The dog weight is the independent variable and the dosage is the dependent variable.
From the ordered pairs, the best option is (35, 260) because 260 ≥ 240
Multiply (x/6) by 6 to get common denominators and then you can simplify equation to 6x=15, divide each side by 6 answer is x=2.5 or 5/2
Answer: y intercept is 4 and the slope is 4/5
Step-by-step explanation:
